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120011020310100 = 223524320034644623
BaseRepresentation
bin11011010010011000111110…
…001111000001011001010100
3120201220221102100102210101210
4123102120332033001121110
5111212230032144410400
61103124145052221420
734164336650240133
oct3322307617013124
9521827370383353
10120011020310100
113526a42a314307
1211562b33a6a870
1351c6cb561591a
14218c7c890991a
15dd1b66da7950
hex6d263e3c1654

120011020310100 has 144 divisors (see below), whose sum is σ = 355484509535232. Its totient is φ = 31243071699840.

The previous prime is 120011020310033. The next prime is 120011020310101. The reversal of 120011020310100 is 1013020110021.

120011020310100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120011020310101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23516389 + ... + 28161011.

It is an arithmetic number, because the mean of its divisors is an integer number (2468642427328).

Almost surely, 2120011020310100 is an apocalyptic number.

120011020310100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120011020310100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177742254767616).

120011020310100 is an abundant number, since it is smaller than the sum of its proper divisors (235473489225132).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

120011020310100 is a wasteful number, since it uses less digits than its factorization.

120011020310100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4646686 (or 4646679 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 120011020310100 its reverse (1013020110021), we get a palindrome (121024040420121).

The spelling of 120011020310100 in words is "one hundred twenty trillion, eleven billion, twenty million, three hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 43 50 60 75 86 100 129 150 172 215 258 300 430 516 645 860 1075 1290 2003 2150 2580 3225 4006 4300 6009 6450 8012 10015 12018 12900 20030 24036 30045 40060 50075 60090 86129 100150 120180 150225 172258 200300 258387 300450 344516 430645 516774 600900 861290 1033548 1291935 1722580 2153225 2583870 4306450 4644623 5167740 6459675 8612900 9289246 12919350 13933869 18578492 23223115 25838700 27867738 46446230 55735476 69669345 92892460 116115575 139338690 199718789 232231150 278677380 348346725 399437578 464462300 599156367 696693450 798875156 998593945 1198312734 1393386900 1997187890 2396625468 2995781835 3994375780 4992969725 5991563670 9303179869 9985939450 11983127340 14978909175 18606359738 19971878900 27909539607 29957818350 37212719476 46515899345 55819079214 59915636700 93031798690 111638158428 139547698035 186063597380 232579496725 279095396070 400036734367 465158993450 558190792140 697738490175 800073468734 930317986900 1200110203101 1395476980350 1600146937468 2000183671835 2400220406202 2790953960700 4000367343670 4800440812404 6000551015505 8000734687340 10000918359175 12001102031010 20001836718350 24002204062020 30002755077525 40003673436700 60005510155050 120011020310100