Search a number
-
+
113311131232 = 25135911234111
BaseRepresentation
bin110100110000111011…
…1101010011001100000
3101211110211212212112011
41221201313222121200
53324030122144412
6124015430442304
711120645503165
oct1514167523140
9354424785464
10113311131232
11440671a8002
1219b63803394
13a8ba4a8960
1456acc5a06c
152e32b487a7
hex1a61dea660

113311131232 has 96 divisors (see below), whose sum is σ = 244590312960. Its totient is φ = 51352773120.

The previous prime is 113311131209. The next prime is 113311131341. The reversal of 113311131232 is 232131113311.

It is a super-2 number, since 2×1133111312322 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 27560857 + ... + 27564967.

It is an arithmetic number, because the mean of its divisors is an integer number (2547815760).

Almost surely, 2113311131232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113311131232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122295156480).

113311131232 is an abundant number, since it is smaller than the sum of its proper divisors (131279181728).

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

113311131232 is a wasteful number, since it uses less digits than its factorization.

113311131232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5316 (or 5308 counting only the distinct ones).

The product of its digits is 324, while the sum is 22.

Adding to 113311131232 its reverse (232131113311), we get a palindrome (345442244543).

The spelling of 113311131232 in words is "one hundred thirteen billion, three hundred eleven million, one hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 59 104 118 208 236 416 472 767 944 1123 1534 1888 2246 3068 4111 4492 6136 8222 8984 12272 14599 16444 17968 24544 29198 32888 35936 53443 58396 65776 66257 106886 116792 131552 132514 213772 233584 242549 265028 427544 467168 485098 530056 855088 861341 970196 1060112 1710176 1722682 1940392 2120224 3153137 3445364 3880784 4616653 6306274 6890728 7761568 9233306 12612548 13781456 18466612 25225096 27562912 36933224 50450192 60016489 73866448 100900384 120032978 147732896 240065956 272382527 480131912 544765054 960263824 1089530108 1920527648 2179060216 3540972851 4358120432 7081945702 8716240864 14163891404 28327782808 56655565616 113311131232