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31002331311 = 34729780527
BaseRepresentation
bin11100110111111000…
…100000100010101111
32222000121100121110000
4130313320200202233
51001443044100221
622124155315343
72145160316400
oct346770404257
988017317400
1031002331311
111216a00a416
12601274bb53
132c00c3a453
1417016019a7
15c16b1ae26
hex737e208af

31002331311 has 60 divisors (see below), whose sum is σ = 54429358368. Its totient is φ = 17532764928.

The previous prime is 31002331309. The next prime is 31002331391. The reversal of 31002331311 is 11313320013.

It is a happy number.

It is not a de Polignac number, because 31002331311 - 21 = 31002331309 is a prime.

It is a super-2 number, since 2×310023313112 (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 (31002331391) 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 59 ways as a sum of consecutive naturals, for example, 344730 + ... + 425256.

Almost surely, 231002331311 is an apocalyptic number.

31002331311 is a deficient number, since it is larger than the sum of its proper divisors (23427027057).

31002331311 is an equidigital number, since it uses as much as digits as its factorization.

31002331311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80650 (or 80634 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 31002331311 its reverse (11313320013), we get a palindrome (42315651324).

The spelling of 31002331311 in words is "thirty-one billion, two million, three hundred thirty-one thousand, three hundred eleven".

Divisors: 1 3 7 9 21 27 49 63 81 97 147 189 291 441 567 679 873 1323 2037 2619 3969 4753 6111 7857 14259 18333 42777 54999 80527 128331 241581 384993 563689 724743 1691067 2174229 3945823 5073201 6522687 7811119 11837469 15219603 23433357 35512407 45658809 54677833 70300071 106537221 164033499 210900213 319611663 382744831 492100497 632700639 1148234493 1476301491 3444703479 4428904473 10334110437 31002331311