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120200312100 = 2235211101360637
BaseRepresentation
bin110111111110001111…
…1110011010100100100
3102111020222002112001010
41233330133303110210
53432132234441400
6131115205502220
711453450536461
oct1577437632444
9374228075033
10120200312100
1146a81a40610
121b366a11970
13b44785073b
145b63baa668
1531d7872450
hex1bfc7f3524

120200312100 has 144 divisors (see below), whose sum is σ = 383153351616. Its totient is φ = 28850880000.

The previous prime is 120200312093. The next prime is 120200312129. The reversal of 120200312100 is 1213002021.

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

It is an unprimeable number.

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, 152982 + ... + 513618.

It is an arithmetic number, because the mean of its divisors is an integer number (2660787164).

Almost surely, 2120200312100 is an apocalyptic number.

120200312100 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 120200312100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191576675808).

120200312100 is an abundant number, since it is smaller than the sum of its proper divisors (262953039516).

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

120200312100 is a wasteful number, since it uses less digits than its factorization.

120200312100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360766 (or 360759 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 120200312100 its reverse (1213002021), we get a palindrome (121413314121).

The spelling of 120200312100 in words is "one hundred twenty billion, two hundred million, three hundred twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 101 110 132 150 165 202 220 275 300 303 330 404 505 550 606 660 825 1010 1100 1111 1212 1515 1650 2020 2222 2525 3030 3300 3333 4444 5050 5555 6060 6666 7575 10100 11110 13332 15150 16665 22220 27775 30300 33330 55550 66660 83325 111100 166650 333300 360637 721274 1081911 1442548 1803185 2163822 3606370 3967007 4327644 5409555 7212740 7934014 9015925 10819110 11901021 15868028 18031850 19835035 21638220 23802042 27047775 36063700 36424337 39670070 47604084 54095550 59505105 72848674 79340140 99175175 108191100 109273011 119010210 145697348 182121685 198350350 218546022 238020420 297525525 364243370 396700700 400667707 437092044 546365055 595051050 728486740 801335414 910608425 1092730110 1190102100 1202003121 1602670828 1821216850 2003338535 2185460220 2404006242 2731825275 3642433700 4006677070 4808012484 5463650550 6010015605 8013354140 10016692675 10927301100 12020031210 20033385350 24040062420 30050078025 40066770700 60100156050 120200312100