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31102013232 = 243579710037
BaseRepresentation
bin11100111101110100…
…110000111100110000
32222021112220222100000
4130331310300330300
51002144103410412
622142120030000
72150510515263
oct347564607460
988245828300
1031102013232
1112210303974
126040002300
132c1879c234
14171094ccda
15c2075b4dc
hex73dd30f30

31102013232 has 120 divisors (see below), whose sum is σ = 90388496016. Its totient is φ = 10353298176.

The previous prime is 31102013231. The next prime is 31102013237. The reversal of 31102013232 is 23231020113.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (31102013231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3093718 + ... + 3103754.

Almost surely, 231102013232 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 31102013232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45194248008).

31102013232 is an abundant number, since it is smaller than the sum of its proper divisors (59286482784).

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

31102013232 is a wasteful number, since it uses less digits than its factorization.

31102013232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10857 (or 10839 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 31102013232 its reverse (23231020113), we get a palindrome (54333033345).

The spelling of 31102013232 in words is "thirty-one billion, one hundred two million, thirteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 797 972 1296 1594 1944 2391 3188 3888 4782 6376 7173 9564 10037 12752 14346 19128 20074 21519 28692 30111 38256 40148 43038 57384 60222 64557 80296 86076 90333 114768 120444 129114 160592 172152 180666 193671 240888 258228 270999 344304 361332 387342 481776 516456 541998 722664 774684 812997 1032912 1083996 1445328 1549368 1625994 2167992 2438991 3098736 3251988 4335984 4877982 6503976 7999489 9755964 13007952 15998978 19511928 23998467 31997956 39023856 47996934 63995912 71995401 95993868 127991824 143990802 191987736 215986203 287981604 383975472 431972406 575963208 647958609 863944812 1151926416 1295917218 1727889624 1943875827 2591834436 3455779248 3887751654 5183668872 7775503308 10367337744 15551006616 31102013232