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113231404032 = 210395338677
BaseRepresentation
bin110100101110100011…
…1100001110000000000
3101211021021212022100220
41221131013201300000
53323344214412112
6124003501543040
711115660024315
oct1513507416000
9354237768326
10113231404032
11440261a285a
1219b40b74a80
13a8a6b127b6
1456a2424d0c
152e2ab4a98c
hex1a5d1e1c00

113231404032 has 88 divisors (see below), whose sum is σ = 302127472656. Its totient is φ = 37703221248.

The previous prime is 113231404031. The next prime is 113231404037. The reversal of 113231404032 is 230404132311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 113231403993 and 113231404011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113231404031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2908278 + ... + 2946954.

Almost surely, 2113231404032 is an apocalyptic number.

113231404032 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 113231404032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151063736328).

113231404032 is an abundant number, since it is smaller than the sum of its proper divisors (188896068624).

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

113231404032 is an equidigital number, since it uses as much as digits as its factorization.

113231404032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39653 (or 39635 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 113231404032 its reverse (230404132311), we get a palindrome (343635536343).

The spelling of 113231404032 in words is "one hundred thirteen billion, two hundred thirty-one million, four hundred four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 953 1024 1536 1906 2859 3072 3812 5718 7624 11436 15248 22872 30496 38677 45744 60992 77354 91488 116031 121984 154708 182976 232062 243968 309416 365952 464124 487936 618832 731904 928248 975872 1237664 1463808 1856496 2475328 2927616 3712992 4950656 7425984 9901312 14851968 19802624 29703936 36859181 39605248 59407872 73718362 110577543 118815744 147436724 221155086 294873448 442310172 589746896 884620344 1179493792 1769240688 2358987584 3538481376 4717975168 7076962752 9435950336 14153925504 18871900672 28307851008 37743801344 56615702016 113231404032