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100220112012012 = 223113263092809253
BaseRepresentation
bin10110110010011001010000…
…001011010000001011101100
3111010211221121220220021121220
4112302121100023100023230
5101114001242133341022
6553052252303023340
730052443542314626
oct2662312013201354
9433757556807556
10100220112012012
1129a2a124552703
12b2a73b489ab50
1343bc9400cab35
141aa6972015c16
15b8be4d73885c
hex5b26502d02ec

100220112012012 has 48 divisors (see below), whose sum is σ = 235925420986080. Its totient is φ = 33109799123968.

The previous prime is 100220112011983. The next prime is 100220112012017. The reversal of 100220112012012 is 210210211022001.

It is a junction number, because it is equal to n+sod(n) for n = 100220112011982 and 100220112012000.

It is not an unprimeable number, because it can be changed into a prime (100220112012017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34270378 + ... + 37079630.

It is an arithmetic number, because the mean of its divisors is an integer number (4915112937210).

Almost surely, 2100220112012012 is an apocalyptic number.

100220112012012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100220112012012 is an abundant number, since it is smaller than the sum of its proper divisors (135705308974068).

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

100220112012012 is a wasteful number, since it uses less digits than its factorization.

100220112012012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2835682 (or 2835680 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 100220112012012 its reverse (210210211022001), we get a palindrome (310430323034013).

The spelling of 100220112012012 in words is "one hundred trillion, two hundred twenty billion, one hundred twelve million, twelve thousand, twelve".

Divisors: 1 2 3 4 6 12 113 226 339 452 678 1356 26309 52618 78927 105236 157854 315708 2809253 2972917 5618506 5945834 8427759 8918751 11237012 11891668 16855518 17837502 33711036 35675004 317445589 634891178 952336767 1269782356 1904673534 3809347068 73908637177 147817274354 221725911531 295634548708 443451823062 886903646124 8351676001001 16703352002002 25055028003003 33406704004004 50110056006006 100220112012012