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10111112012 = 2223939726641
BaseRepresentation
bin10010110101010101…
…10101001101001100
3222002122211201011002
421122222311031030
5131201421041022
64351152115432
7505364014451
oct113252651514
928078751132
1010111112012
114319506121
121b62235b78
13c51a21a21
146bcc07828
153e2a0a092
hex25aab534c

10111112012 has 24 divisors (see below), whose sum is σ = 17813906880. Its totient is φ = 5021533440.

The previous prime is 10111112009. The next prime is 10111112017. The reversal of 10111112012 is 21021111101.

10111112012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×101111120122 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10111111984 and 10111112002.

It is not an unprimeable number, because it can be changed into a prime (10111112017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 366212 + ... + 392852.

It is an arithmetic number, because the mean of its divisors is an integer number (742246120).

Almost surely, 210111112012 is an apocalyptic number.

It is an amenable number.

10111112012 is a deficient number, since it is larger than the sum of its proper divisors (7702794868).

10111112012 is a wasteful number, since it uses less digits than its factorization.

10111112012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27281 (or 27279 counting only the distinct ones).

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

Adding to 10111112012 its reverse (21021111101), we get a palindrome (31132223113).

The spelling of 10111112012 in words is "ten billion, one hundred eleven million, one hundred twelve thousand, twelve".

Divisors: 1 2 4 239 397 478 794 956 1588 26641 53282 94883 106564 189766 379532 6367199 10576477 12734398 21152954 25468796 42305908 2527778003 5055556006 10111112012