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31022110002 = 231310312593067
BaseRepresentation
bin11100111001000011…
…111101010100110010
32222001222120110201010
4130321003331110302
51002013130010002
622130143251350
72145520404252
oct347103752462
988058513633
1031022110002
111217a199444
1260192a9b56
132c05073c10
1417040ad962
15c1872646c
hex7390fd532

31022110002 has 64 divisors (see below), whose sum is σ = 67541160960. Its totient is φ = 9442004544.

The previous prime is 31022109977. The next prime is 31022110019. The reversal of 31022110002 is 20001122013.

It is a self number, because there is not a number n which added to its sum of digits gives 31022110002.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 10113273 + ... + 10116339.

It is an arithmetic number, because the mean of its divisors is an integer number (1055330640).

Almost surely, 231022110002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31022110002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33770580480).

31022110002 is an abundant number, since it is smaller than the sum of its proper divisors (36519050958).

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

31022110002 is a wasteful number, since it uses less digits than its factorization.

31022110002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4447.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 31022110002 its reverse (20001122013), we get a palindrome (51023232015).

The spelling of 31022110002 in words is "thirty-one billion, twenty-two million, one hundred ten thousand, two".

Divisors: 1 2 3 6 13 26 39 78 103 206 309 618 1259 1339 2518 2678 3067 3777 4017 6134 7554 8034 9201 16367 18402 32734 39871 49101 79742 98202 119613 129677 239226 259354 315901 389031 631802 778062 947703 1685801 1895406 3371602 3861353 4106713 5057403 7722706 8213426 10114806 11584059 12320139 23168118 24640278 50197589 100395178 150592767 301185534 397719359 795438718 1193158077 2386316154 5170351667 10340703334 15511055001 31022110002