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1113039138312 = 233221529718049
BaseRepresentation
bin10000001100100110010…
…011010110111000001000
310221101221121111121212100
4100030212103112320020
5121214001004411222
62211153443313400
7143262101401023
oct20144623267010
93841847447770
101113039138312
1139a045638662
1215b86a67b860
1380c6130152a
143bc2b1001ba
151de455844ac
hex103264d6e08

1113039138312 has 48 divisors (see below), whose sum is σ = 3014625217500. Its totient is φ = 370995296256.

The previous prime is 1113039138307. The next prime is 1113039138331. The reversal of 1113039138312 is 2138319303111.

It is a happy number.

1113039138312 is a `hidden beast` number, since 1 + 1 + 1 + 303 + 9 + 1 + 38 + 312 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1107810980676 + 5228157636 = 1052526^2 + 72306^2 .

It is a super-2 number, since 2×11130391383122 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1191064 + ... + 1909112.

Almost surely, 21113039138312 is an apocalyptic number.

1113039138312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1113039138312 is an abundant number, since it is smaller than the sum of its proper divisors (1901586079188).

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

1113039138312 is a wasteful number, since it uses less digits than its factorization.

1113039138312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739590 (or 739583 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 1113039138312 in words is "one trillion, one hundred thirteen billion, thirty-nine million, one hundred thirty-eight thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 21529 43058 64587 86116 129174 172232 193761 258348 387522 516696 718049 775044 1436098 1550088 2154147 2872196 4308294 5744392 6462441 8616588 12924882 17233176 25849764 51699528 15458876921 30917753842 46376630763 61835507684 92753261526 123671015368 139129892289 185506523052 278259784578 371013046104 556519569156 1113039138312