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31382118912 = 293371972803
BaseRepresentation
bin11101001110100001…
…010010001000000000
310000000001222211002110
4131032201102020000
51003232310301122
622230003415320
72160451416024
oct351641221000
9100001884073
1031382118912
111234442a471
1260b9984540
132c61822a41
141739c24384
15c3a13a90c
hex74e852200

31382118912 has 160 divisors (see below), whose sum is σ = 86330135232. Its totient is φ = 10122706944.

The previous prime is 31382118877. The next prime is 31382118913. The reversal of 31382118912 is 21981128313.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (31382118913) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11194503 + ... + 11197305.

Almost surely, 231382118912 is an apocalyptic number.

31382118912 is a gapful number since it is divisible by the number (32) 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 31382118912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43165067616).

31382118912 is an abundant number, since it is smaller than the sum of its proper divisors (54948016320).

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

31382118912 is a wasteful number, since it uses less digits than its factorization.

31382118912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3058 (or 3042 counting only the distinct ones).

The product of its digits is 20736, while the sum is 39.

The spelling of 31382118912 in words is "thirty-one billion, three hundred eighty-two million, one hundred eighteen thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 197 222 256 296 384 394 444 512 591 592 768 788 888 1182 1184 1536 1576 1776 2364 2368 2803 3152 3552 4728 4736 5606 6304 7104 7289 8409 9456 9472 11212 12608 14208 14578 16818 18912 18944 21867 22424 25216 28416 29156 33636 37824 43734 44848 50432 56832 58312 67272 75648 87468 89696 100864 103711 116624 134544 151296 174936 179392 207422 233248 269088 302592 311133 349872 358784 414844 466496 538176 552191 622266 699744 717568 829688 932992 1076352 1104382 1244532 1399488 1435136 1656573 1659376 1865984 2152704 2208764 2489064 2798976 3313146 3318752 3731968 4305408 4417528 4978128 5597952 6626292 6637504 8835056 9956256 11195904 13252584 13275008 17670112 19912512 20431067 26505168 26550016 35340224 39825024 40862134 53010336 53100032 61293201 70680448 79650048 81724268 106020672 122586402 141360896 159300096 163448536 212041344 245172804 282721792 326897072 424082688 490345608 653794144 848165376 980691216 1307588288 1961382432 2615176576 3922764864 5230353152 7845529728 10460706304 15691059456 31382118912