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100112222010012 = 22331269118876371
BaseRepresentation
bin10110110000110100110001…
…011011100011101010011100
3111010110122010212211022100220
4112300310301123203222130
5101110214312313310022
6552530530405521340
730041604121402062
oct2660646133435234
9433418125738326
10100112222010012
112999839a44a2a3
12b28a504713250
1343b2707aac774
141aa1659162032
15b892369d085c
hex5b0d316e3a9c

100112222010012 has 24 divisors (see below), whose sum is σ = 241130513229312. Its totient is φ = 32294265164400.

The previous prime is 100112222010001. The next prime is 100112222010019. The reversal of 100112222010012 is 210010222211001.

100112222010012 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 2×1001122220100122 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100112222009973 and 100112222010000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100112222010019) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 134559437814 + ... + 134559438557.

It is an arithmetic number, because the mean of its divisors is an integer number (10047104717888).

Almost surely, 2100112222010012 is an apocalyptic number.

100112222010012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100112222010012 is an abundant number, since it is smaller than the sum of its proper divisors (141018291219300).

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

100112222010012 is a wasteful number, since it uses less digits than its factorization.

100112222010012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269118876409 (or 269118876407 counting only the distinct ones).

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

Adding to 100112222010012 its reverse (210010222211001), we get a palindrome (310122444221013).

The spelling of 100112222010012 in words is "one hundred trillion, one hundred twelve billion, two hundred twenty-two million, ten thousand, twelve".

Divisors: 1 2 3 4 6 12 31 62 93 124 186 372 269118876371 538237752742 807356629113 1076475505484 1614713258226 3229426516452 8342685167501 16685370335002 25028055502503 33370740670004 50056111005006 100112222010012