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2230030100100 = 22352115211297057
BaseRepresentation
bin100000011100111000001…
…001101110011010000100
321220012002122001200102010
4200130320021232122010
5243014100201200400
64424243420214220
7320054140044225
oct40347011563204
97805078050363
102230030100100
1178a828944730
1230024069a370
131323a225703a
1479d10db324c
153d01ca24450
hex2073826e684

2230030100100 has 144 divisors (see below), whose sum is σ = 7052301498816. Its totient is φ = 539575296000.

The previous prime is 2230030100057. The next prime is 2230030100101. The reversal of 2230030100100 is 10010300322.

It is a happy number.

It is a super-3 number, since 3×22300301001003 (a number of 38 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2230030100101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1070772 + ... + 2367828.

It is an arithmetic number, because the mean of its divisors is an integer number (48974315964).

Almost surely, 22230030100100 is an apocalyptic number.

2230030100100 is a gapful number since it is divisible by the number (20) 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 2230030100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3526150749408).

2230030100100 is an abundant number, since it is smaller than the sum of its proper divisors (4822271398716).

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

2230030100100 is a wasteful number, since it uses less digits than its factorization.

2230030100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1297606 (or 1297599 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 2230030100100 its reverse (10010300322), we get a palindrome (2240040400422).

The spelling of 2230030100100 in words is "two trillion, two hundred thirty billion, thirty million, one hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 521 550 660 825 1042 1100 1563 1650 2084 2605 3126 3300 5210 5731 6252 7815 10420 11462 13025 15630 17193 22924 26050 28655 31260 34386 39075 52100 57310 68772 78150 85965 114620 143275 156300 171930 286550 343860 429825 573100 859650 1297057 1719300 2594114 3891171 5188228 6485285 7782342 12970570 14267627 15564684 19455855 25941140 28535254 32426425 38911710 42802881 57070508 64852850 71338135 77823420 85605762 97279275 129705700 142676270 171211524 194558550 214014405 285352540 356690675 389117100 428028810 675766697 713381350 856057620 1070072025 1351533394 1426762700 2027300091 2140144050 2703066788 3378833485 4054600182 4280288100 6757666970 7433433667 8109200364 10136500455 13515333940 14866867334 16894167425 20273000910 22300301001 29733734668 33788334850 37167168335 40546001820 44600602002 50682502275 67576669700 74334336670 89201204004 101365004550 111501505005 148668673340 185835841675 202730009100 223003010010 371671683350 446006020020 557507525025 743343366700 1115015050050 2230030100100