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31002131712 = 283255715787
BaseRepresentation
bin11100110111110111…
…101111110100000000
32222000120222110122110
4130313313233310000
51001443021203322
622124151135320
72145155525436
oct346767576400
988016873573
1031002131712
1112169993462
126012674540
132c00b9a646
14170158cd56
15c16acbc0c
hex737defd00

31002131712 has 72 divisors (see below), whose sum is σ = 82548378976. Its totient is φ = 10329348096.

The previous prime is 31002131711. The next prime is 31002131737. The reversal of 31002131712 is 21713120013.

It is a happy number.

It is a super-2 number, since 2×310021317122 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31002131711) 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, 1955883 + ... + 1971669.

Almost surely, 231002131712 is an apocalyptic number.

31002131712 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

31002131712 is an abundant number, since it is smaller than the sum of its proper divisors (51546247264).

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

31002131712 is a wasteful number, since it uses less digits than its factorization.

31002131712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18363 (or 18349 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

Adding to 31002131712 its reverse (21713120013), we get a palindrome (52715251725).

The spelling of 31002131712 in words is "thirty-one billion, two million, one hundred thirty-one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 2557 5114 7671 10228 15342 15787 20456 30684 31574 40912 47361 61368 63148 81824 94722 122736 126296 163648 189444 245472 252592 327296 378888 490944 505184 654592 757776 981888 1010368 1515552 1963776 2020736 3031104 4041472 6062208 12124416 40367359 80734718 121102077 161469436 242204154 322938872 484408308 645877744 968816616 1291755488 1937633232 2583510976 3875266464 5167021952 7750532928 10334043904 15501065856 31002131712