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100101111000212 = 22710377344901841
BaseRepresentation
bin10110110000101010011011…
…001010011010110010010100
3111010102120110112111112022102
4112300222123022122302110
5101110024033404001322
6552521452054221232
730041031563360360
oct2660523312326224
9433376415445272
10100101111000212
1129993708590173
12b288323654818
1343b1656b8825a
141aa0cc36362a0
15b88cd6314792
hex5b0a9b29ac94

100101111000212 has 48 divisors (see below), whose sum is σ = 202407445723392. Its totient is φ = 42429005867520.

The previous prime is 100101111000199. The next prime is 100101111000257. The reversal of 100101111000212 is 212000111101001.

It is a junction number, because it is equal to n+sod(n) for n = 100101111000193 and 100101111000202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20221589 + ... + 24680252.

It is an arithmetic number, because the mean of its divisors is an integer number (4216821785904).

Almost surely, 2100101111000212 is an apocalyptic number.

It is an amenable number.

100101111000212 is an abundant number, since it is smaller than the sum of its proper divisors (102306334723180).

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

100101111000212 is a wasteful number, since it uses less digits than its factorization.

100101111000212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44902728 (or 44902726 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 100101111000212 its reverse (212000111101001), we get a palindrome (312101222101213).

The spelling of 100101111000212 in words is "one hundred trillion, one hundred one billion, one hundred eleven million, two hundred twelve", and thus it is an aban number.

Divisors: 1 2 4 7 14 28 103 206 412 721 773 1442 1546 2884 3092 5411 10822 21644 79619 159238 318476 557333 1114666 2229332 44901841 89803682 179607364 314312887 628625774 1257251548 4624889623 9249779246 18499558492 32374227361 34709123093 64748454722 69418246186 129496909444 138836492372 242963861651 485927723302 971855446604 3575039678579 7150079357158 14300158714316 25025277750053 50050555500106 100101111000212