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31002200999 = 711983409589
BaseRepresentation
bin11100110111111000…
…000000101110100111
32222000121002222200122
4130313320000232213
51001443030412444
622124152432155
72145156234440
oct346770005647
988017088618
1031002200999
1112169a30520
1260126a865b
132c00bc3043
1417015aa2c7
15c16ae24ee
hex737e00ba7

31002200999 has 16 divisors (see below), whose sum is σ = 38691509760. Its totient is φ = 24132924960.

The previous prime is 31002200941. The next prime is 31002201007. The reversal of 31002200999 is 99900220013.

It is a cyclic number.

It is not a de Polignac number, because 31002200999 - 212 = 31002196903 is a prime.

It is a super-2 number, since 2×310022009992 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31002200899) 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 15 ways as a sum of consecutive naturals, for example, 129104 + ... + 280485.

It is an arithmetic number, because the mean of its divisors is an integer number (2418219360).

Almost surely, 231002200999 is an apocalyptic number.

31002200999 is a deficient number, since it is larger than the sum of its proper divisors (7689308761).

31002200999 is a wasteful number, since it uses less digits than its factorization.

31002200999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410590.

The product of its (nonzero) digits is 8748, while the sum is 35.

The spelling of 31002200999 in words is "thirty-one billion, two million, two hundred thousand, nine hundred ninety-nine".

Divisors: 1 7 11 77 983 6881 10813 75691 409589 2867123 4505479 31538353 402625987 2818381909 4428885857 31002200999