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31002002213 = 71317192833727
BaseRepresentation
bin11100110111110111…
…010000001100100101
32222000120201220000012
4130313313100030211
51001443003032323
622124144300005
72145154446050
oct346767201445
988016656005
1031002002213
1112169905136
126012611605
132c00b53710
141701557a97
15c16aa3678
hex737dd0325

31002002213 has 64 divisors (see below), whose sum is σ = 42688880640. Its totient is φ = 21787978752.

The previous prime is 31002002209. The next prime is 31002002231. The reversal of 31002002213 is 31220020013.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 31002002213 - 22 = 31002002209 is a prime.

It is a super-2 number, since 2×310020022132 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31002002293) 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 63 ways as a sum of consecutive naturals, for example, 8316356 + ... + 8320082.

It is an arithmetic number, because the mean of its divisors is an integer number (667013760).

Almost surely, 231002002213 is an apocalyptic number.

It is an amenable number.

31002002213 is a deficient number, since it is larger than the sum of its proper divisors (11686878427).

31002002213 is a wasteful number, since it uses less digits than its factorization.

31002002213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4066.

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 31002002213 its reverse (31220020013), we get a palindrome (62222022226).

The spelling of 31002002213 in words is "thirty-one billion, two million, two thousand, two hundred thirteen".

Divisors: 1 7 13 17 19 91 119 133 221 247 283 323 1547 1729 1981 2261 3679 3727 4199 4811 5377 25753 26089 29393 33677 37639 48451 62543 63359 69901 70813 91409 339157 437801 443513 489307 495691 639863 823667 920569 1054741 1188317 1203821 5765669 6443983 7383187 8318219 8426747 13711633 15649673 17930597 20040079 95981431 109547711 125514179 140280553 233097761 260521027 340681343 1631684327 1823647189 2384769401 4428857459 31002002213