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133808808331 = 1129676419767
BaseRepresentation
bin111110010011110100…
…0000110000110001011
3110210101100212202102001
41330213220012012023
54143020023331311
6141245415051431
712444623050552
oct1744750060613
9423340782361
10133808808331
1151825647210
1221b24370b77
13c806004283
146695290d99
15373241e4c1
hex1f27a0618b

133808808331 has 32 divisors (see below), whose sum is σ = 153515450880. Its totient is φ = 115504435200.

The previous prime is 133808808319. The next prime is 133808808391.

133808808331 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 133808808331 - 221 = 133806711179 is a prime.

It is a super-2 number, since 2×1338088083312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133808808391) 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, 13695210 + ... + 13704976.

It is an arithmetic number, because the mean of its divisors is an integer number (4797357840).

Almost surely, 2133808808331 is an apocalyptic number.

133808808331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

133808808331 is a deficient number, since it is larger than the sum of its proper divisors (19706642549).

133808808331 is a wasteful number, since it uses less digits than its factorization.

133808808331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10515.

The product of its (nonzero) digits is 331776, while the sum is 46.

The spelling of 133808808331 in words is "one hundred thirty-three billion, eight hundred eight million, eight hundred eight thousand, three hundred thirty-one".

Divisors: 1 11 29 67 319 641 737 1943 7051 9767 18589 21373 42947 107437 204479 283243 472417 654389 1245463 3115673 6260647 7198279 13700093 18977281 68867117 181558763 208750091 419463349 1997146393 4614096839 12164437121 133808808331