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13355655331 = 2941181229271
BaseRepresentation
bin11000111000000111…
…10010000010100011
31021110210000120212011
430130003302002203
5204323021432311
610045134013351
7651652124434
oct143403620243
937423016764
1013355655331
115733a12587
122708947257
13134ac88045
14909aa948b
155327a6321
hex31c0f20a3

13355655331 has 32 divisors (see below), whose sum is σ = 14346259200. Its totient is φ = 12410496000.

The previous prime is 13355655329. The next prime is 13355655347.

13355655331 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 13355655331 - 21 = 13355655329 is a prime.

It is a super-3 number, since 3×133556553313 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13355355331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49282726 + ... + 49282996.

It is an arithmetic number, because the mean of its divisors is an integer number (448320600).

Almost surely, 213355655331 is an apocalyptic number.

13355655331 is a deficient number, since it is larger than the sum of its proper divisors (990603869).

13355655331 is a wasteful number, since it uses less digits than its factorization.

13355655331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751.

The product of its digits is 303750, while the sum is 40.

The spelling of 13355655331 in words is "thirteen billion, three hundred fifty-five million, six hundred fifty-five thousand, three hundred thirty-one".

Divisors: 1 29 41 181 229 271 1189 5249 6641 7421 7859 9389 11111 41449 49051 62059 215209 272281 322219 1202021 1422479 1699409 1799711 2011091 2544419 11232679 49282861 58321639 73788151 325747691 460539839 13355655331