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113130233232 = 243109173124987
BaseRepresentation
bin110100101011100010…
…1100101110110010000
3101211000020111022010020
41221113011211312100
53323142314430412
6123545445303440
711113321054602
oct1512705456620
9354006438106
10113130233232
1143a84081725
1219b13104b80
13a88bb7c113
145692c0b172
152e21d1418c
hex1a57165d90

113130233232 has 80 divisors (see below), whose sum is σ = 296641519680. Its totient is φ = 37147838976.

The previous prime is 113130233201. The next prime is 113130233267. The reversal of 113130233232 is 232332031311.

It is a super-2 number, since 2×1131302332322 (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 842643 + ... + 967629.

It is an arithmetic number, because the mean of its divisors is an integer number (3708018996).

Almost surely, 2113130233232 is an apocalyptic number.

113130233232 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 113130233232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148320759840).

113130233232 is an abundant number, since it is smaller than the sum of its proper divisors (183511286448).

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

113130233232 is a wasteful number, since it uses less digits than its factorization.

113130233232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125280 (or 125274 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 113130233232 its reverse (232332031311), we get a palindrome (345462264543).

The spelling of 113130233232 in words is "one hundred thirteen billion, one hundred thirty million, two hundred thirty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 109 173 218 327 346 436 519 654 692 872 1038 1308 1384 1744 2076 2616 2768 4152 5232 8304 18857 37714 56571 75428 113142 124987 150856 226284 249974 301712 374961 452568 499948 749922 905136 999896 1499844 1999792 2999688 5999376 13623583 21622751 27247166 40870749 43245502 54494332 64868253 81741498 86491004 108988664 129736506 163482996 172982008 217977328 259473012 326965992 345964016 518946024 653931984 1037892048 2356879859 4713759718 7070639577 9427519436 14141279154 18855038872 28282558308 37710077744 56565116616 113130233232