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113035513152 = 2634336233779
BaseRepresentation
bin110100101000101110…
…0010000110101000000
3101210202122021000121010
41221101130100311000
53322444042410102
6123532223200520
711111061003012
oct1512134206500
9353678230533
10113035513152
1143a35667071
1219aa7446140
13a875366933
1456843d21b2
152e18853d6c
hex1a51710d40

113035513152 has 112 divisors (see below), whose sum is σ = 306193789440. Its totient is φ = 36782366208.

The previous prime is 113035513141. The next prime is 113035513159. The reversal of 113035513152 is 251315530311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113035513159) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29909599 + ... + 29913377.

It is an arithmetic number, because the mean of its divisors is an integer number (2733873120).

Almost surely, 2113035513152 is an apocalyptic number.

113035513152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113035513152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153096894720).

113035513152 is an abundant number, since it is smaller than the sum of its proper divisors (193158276288).

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

113035513152 is a wasteful number, since it uses less digits than its factorization.

113035513152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7460 (or 7450 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 30.

The spelling of 113035513152 in words is "one hundred thirteen billion, thirty-five million, five hundred thirteen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 129 172 192 258 344 516 688 1032 1376 2064 2752 3623 3779 4128 7246 7558 8256 10869 11337 14492 15116 21738 22674 28984 30232 43476 45348 57968 60464 86952 90696 115936 120928 155789 162497 173904 181392 231872 241856 311578 324994 347808 362784 467367 487491 623156 649988 695616 725568 934734 974982 1246312 1299976 1869468 1949964 2492624 2599952 3738936 3899928 4985248 5199904 7477872 7799856 9970496 10399808 13691317 14955744 15599712 27382634 29911488 31199424 41073951 54765268 82147902 109530536 164295804 219061072 328591608 438122144 588726631 657183216 876244288 1177453262 1314366432 1766179893 2354906524 2628732864 3532359786 4709813048 7064719572 9419626096 14129439144 18839252192 28258878288 37678504384 56517756576 113035513152