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31002332020 = 22511212810881
BaseRepresentation
bin11100110111111000…
…100000101101110100
32222000121100122102021
4130313320200231310
51001443044111040
622124155322524
72145160321432
oct346770405564
988017318367
1031002332020
111216a00aa00
126012750444
132c00c3a87a
141701601d52
15c16b1b24a
hex737e20b74

31002332020 has 36 divisors (see below), whose sum is σ = 71561586852. Its totient is φ = 11273574400.

The previous prime is 31002332003. The next prime is 31002332021. The reversal of 31002332020 is 2023320013.

It can be written as a sum of positive squares in 2 ways, for example, as 21973911696 + 9028420324 = 148236^2 + 95018^2 .

It is a super-2 number, since 2×310023320202 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31002331985 and 31002332003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31002332021) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 6403021 + ... + 6407860.

It is an arithmetic number, because the mean of its divisors is an integer number (1987821857).

Almost surely, 231002332020 is an apocalyptic number.

It is an amenable number.

31002332020 is an abundant number, since it is smaller than the sum of its proper divisors (40559254832).

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

31002332020 is a wasteful number, since it uses less digits than its factorization.

31002332020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12810912 (or 12810899 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 31002332020 its reverse (2023320013), we get a palindrome (33025652033).

The spelling of 31002332020 in words is "thirty-one billion, two million, three hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 2420 12810881 25621762 51243524 64054405 128108810 140919691 256217620 281839382 563678764 704598455 1409196910 1550116601 2818393820 3100233202 6200466404 7750583005 15501166010 31002332020