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31130133210 = 23251167346723
BaseRepresentation
bin11100111111100000…
…000010001011011010
32222100111211121200200
4130333200002023122
51002223303230320
622145002443030
72151301523601
oct347740021332
988314747620
1031130133210
111222516a920
126049503476
132c21566587
14171458ca38
15c22e63290
hex73f8022da

31130133210 has 96 divisors (see below), whose sum is σ = 88429468608. Its totient is φ = 7535324160.

The previous prime is 31130133179. The next prime is 31130133283. The reversal of 31130133210 is 1233103113.

It is a happy number.

31130133210 is a `hidden beast` number, since 31 + 1 + 301 + 332 + 1 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 642909 + ... + 689631.

It is an arithmetic number, because the mean of its divisors is an integer number (921140298).

Almost surely, 231130133210 is an apocalyptic number.

31130133210 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31130133210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44214734304).

31130133210 is an abundant number, since it is smaller than the sum of its proper divisors (57299335398).

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

31130133210 is a wasteful number, since it uses less digits than its factorization.

31130133210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47420 (or 47417 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 31130133210 its reverse (1233103113), we get a palindrome (32363236323).

The spelling of 31130133210 in words is "thirty-one billion, one hundred thirty million, one hundred thirty-three thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 673 990 1346 2019 3365 4038 6057 6730 7403 10095 12114 14806 20190 22209 30285 37015 44418 46723 60570 66627 74030 93446 111045 133254 140169 222090 233615 280338 333135 420507 467230 513953 666270 700845 841014 1027906 1401690 1541859 2102535 2569765 3083718 4205070 4625577 5139530 7709295 9251154 15418590 23127885 31444579 46255770 62889158 94333737 157222895 188667474 283001211 314445790 345890369 471668685 566002422 691780738 943337370 1037671107 1415006055 1729451845 2075342214 2830012110 3113013321 3458903690 5188355535 6226026642 10376711070 15565066605 31130133210