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112112002112 = 2611214477273
BaseRepresentation
bin110100001101001100…
…1010110010001000000
3101201101021111210121112
41220122121112101000
53314101133031422
6123300433142452
711046145203005
oct1503231262100
9351337453545
10112112002112
1143601336600
121988a0baa28
13a758c2a9b6
1455d78b58ac
152db2730ee2
hex1a1a656440

112112002112 has 42 divisors (see below), whose sum is σ = 244535635134. Its totient is φ = 50959997440.

The previous prime is 112112002111. The next prime is 112112002139. The reversal of 112112002112 is 211200211211.

It can be written as a sum of positive squares in only one way, i.e., 78704935936 + 33407066176 = 280544^2 + 182776^2 .

It is a super-2 number, since 2×1121120021122 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (112112002111) 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, 7230893 + ... + 7246380.

It is an arithmetic number, because the mean of its divisors is an integer number (5822277027).

Almost surely, 2112112002112 is an apocalyptic number.

It is an amenable number.

112112002112 is an abundant number, since it is smaller than the sum of its proper divisors (132423633022).

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

112112002112 is a wasteful number, since it uses less digits than its factorization.

112112002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14477307 (or 14477286 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 112112002112 its reverse (211200211211), we get a palindrome (323312213323).

It can be divided in two parts, 11 and 2112002112, that multiplied together give a palindrome (23232023232).

The spelling of 112112002112 in words is "one hundred twelve billion, one hundred twelve million, two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 352 484 704 968 1936 3872 7744 14477273 28954546 57909092 115818184 159250003 231636368 318500006 463272736 637000012 926545472 1274000024 1751750033 2548000048 3503500066 5096000096 7007000132 10192000192 14014000264 28028000528 56056001056 112112002112