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31097352240 = 24325154927883
BaseRepresentation
bin11100111101100010…
…111111000000110000
32222021020011011122200
4130331202333000300
51002141410232430
622141432103200
72150423063343
oct347542770060
988236134580
1031097352240
1112208710009
12603a534b00
132c17829856
14171009845a
15c2013a460
hex73d8bf030

31097352240 has 120 divisors (see below), whose sum is σ = 104506443600. Its totient is φ = 8286976512.

The previous prime is 31097352233. The next prime is 31097352241. The reversal of 31097352240 is 4225379013.

31097352240 is a `hidden beast` number, since 3 + 1 + 0 + 97 + 3 + 522 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 31097352195 and 31097352204.

It is not an unprimeable number, because it can be changed into a prime (31097352241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1101339 + ... + 1129221.

It is an arithmetic number, because the mean of its divisors is an integer number (870887030).

Almost surely, 231097352240 is an apocalyptic number.

31097352240 is a gapful number since it is divisible by the number (30) 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 31097352240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52253221800).

31097352240 is an abundant number, since it is smaller than the sum of its proper divisors (73409091360).

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

31097352240 is a wasteful number, since it uses less digits than its factorization.

31097352240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29451 (or 29442 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 31097352240 in words is "thirty-one billion, ninety-seven million, three hundred fifty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 1549 3098 4647 6196 7745 9294 12392 13941 15490 18588 23235 24784 27882 27883 30980 37176 46470 55764 55766 61960 69705 74352 83649 92940 111528 111532 123920 139410 139415 167298 185880 223056 223064 250947 278820 278830 334596 371760 418245 446128 501894 557640 557660 669192 836490 1003788 1115280 1115320 1254735 1338384 1672980 2007576 2230640 2509470 3345960 4015152 5018940 6691920 10037880 20075760 43190767 86381534 129572301 172763068 215953835 259144602 345526136 388716903 431907670 518289204 647861505 691052272 777433806 863815340 1036578408 1295723010 1554867612 1727630680 1943584515 2073156816 2591446020 3109735224 3455261360 3887169030 5182892040 6219470448 7774338060 10365784080 15548676120 31097352240