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10000112112 = 243269445223
BaseRepresentation
bin10010101000000110…
…11001100111110000
3221210220222022220200
421110003121213300
5130440012041422
64332145035200
7502545356544
oct112403314760
927726868820
1010000112112
114271891271
121b31025b00
13c34a29503
146ac191a24
153d7dd12ac
hex2540d99f0

10000112112 has 30 divisors (see below), whose sum is σ = 27986425272. Its totient is φ = 3333370656.

The previous prime is 10000112099. The next prime is 10000112117. The reversal of 10000112112 is 21121100001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10000112094 and 10000112103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000112117) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 34722468 + ... + 34722755.

Almost surely, 210000112112 is an apocalyptic number.

10000112112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10000112112 is an abundant number, since it is smaller than the sum of its proper divisors (17986313160).

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

10000112112 is a wasteful number, since it uses less digits than its factorization.

10000112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69445237 (or 69445228 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10000112112 its reverse (21121100001), we get a palindrome (31121212113).

The spelling of 10000112112 in words is "ten billion, one hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 69445223 138890446 208335669 277780892 416671338 555561784 625007007 833342676 1111123568 1250014014 1666685352 2500028028 3333370704 5000056056 10000112112