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133031130331 = 1143535306599
BaseRepresentation
bin111101111100101000…
…1011111010011011011
3110201101011112121202011
41323321101133103123
54134421432132311
6141040314450351
712416430644011
oct1737121372333
9421334477664
10133031130331
1151466672220
1221947a339b7
13c710b68688
14661dc968b1
1536d9006321
hex1ef945f4db

133031130331 has 16 divisors (see below), whose sum is σ = 151301779200. Its totient is φ = 115896100320.

The previous prime is 133031130329. The next prime is 133031130371.

133031130331 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 133031130331 - 21 = 133031130329 is a prime.

It is a super-2 number, since 2×1330311303312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133031130371) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2628231 + ... + 2678368.

It is an arithmetic number, because the mean of its divisors is an integer number (9456361200).

Almost surely, 2133031130331 is an apocalyptic number.

133031130331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

133031130331 is a deficient number, since it is larger than the sum of its proper divisors (18270648869).

133031130331 is a wasteful number, since it uses less digits than its factorization.

133031130331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5306706.

The product of its (nonzero) digits is 729, while the sum is 22.

It can be divided in two parts, 133031 and 130331, that added together give a palindrome (263362).

The spelling of 133031130331 in words is "one hundred thirty-three billion, thirty-one million, one hundred thirty thousand, three hundred thirty-one".

Divisors: 1 11 43 53 473 583 2279 25069 5306599 58372589 228183757 281249747 2510021327 3093747217 12093739121 133031130331