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100100100011052 = 223295325913209441
BaseRepresentation
bin10110110000101001011110…
…111001110011010000101100
3111010102110212002010221220110
4112300221132321303100230
5101110020001100323202
6552521203501220020
730040664536200201
oct2660513671632054
9433373762127813
10100100100011052
1129993239941039
12b2880a0b61610
1343b15255a120b
141aa0c29267ca8
15b88c776b226c
hex5b0a5ee7342c

100100100011052 has 96 divisors (see below), whose sum is σ = 246190492255680. Its totient is φ = 31606902046720.

The previous prime is 100100100011017. The next prime is 100100100011053. The reversal of 100100100011052 is 250110001001001.

100100100011052 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1001001000110522 (a number of 29 digits) contains 22 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 (100100100011053) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 477834652 + ... + 478044092.

It is an arithmetic number, because the mean of its divisors is an integer number (2564484294330).

Almost surely, 2100100100011052 is an apocalyptic number.

100100100011052 is a gapful number since it is divisible by the number (12) 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 100100100011052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123095246127840).

100100100011052 is an abundant number, since it is smaller than the sum of its proper divisors (146090392244628).

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

100100100011052 is a wasteful number, since it uses less digits than its factorization.

100100100011052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235443 (or 235441 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 12.

Adding to 100100100011052 its reverse (250110001001001), we get a palindrome (350210101012053).

The spelling of 100100100011052 in words is "one hundred trillion, one hundred billion, one hundred million, eleven thousand, fifty-two".

Divisors: 1 2 3 4 6 12 29 53 58 87 106 116 159 174 212 318 348 636 1537 3074 4611 6148 9222 18444 25913 51826 77739 103652 155478 209441 310956 418882 628323 751477 837764 1256646 1373389 1502954 2254431 2513292 2746778 3005908 4120167 4508862 5493556 6073789 8240334 9017724 11100373 12147578 16480668 18221367 22200746 24295156 33301119 36442734 39828281 44401492 66602238 72885468 79656562 119484843 133204476 159313124 238969686 321910817 477939372 643821634 965732451 1287643268 1931464902 3862929804 5427244633 10854489266 16281733899 21708978532 32563467798 65126935596 157390094357 287643965549 314780188714 472170283071 575287931098 629560377428 862931896647 944340566142 1150575862196 1725863793294 1888681132284 3451727586588 8341675000921 16683350001842 25025025002763 33366700003684 50050050005526 100100100011052