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1303332133131 = 32759393483383
BaseRepresentation
bin10010111101110100101…
…001100001100100001011
311121121010110100100120100
4102331310221201210023
5132323211011230011
62434424214500443
7163106533225260
oct22756451414413
94547113310510
101303332133131
11462816014126
12190717364723
1395b9954a652
144711dd2b267
1523d81723d56
hex12f74a6190b

1303332133131 has 24 divisors (see below), whose sum is σ = 2151895299840. Its totient is φ = 744635603376.

The previous prime is 1303332133127. The next prime is 1303332133157. The reversal of 1303332133131 is 1313312333031.

1303332133131 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 3 + 321 + 331 + 3 + 1 = 666.

It is not a de Polignac number, because 1303332133131 - 22 = 1303332133127 is a prime.

It is a super-2 number, since 2×13033321331312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1303332133095 and 1303332133104.

It is not an unprimeable number, because it can be changed into a prime (1303332133171) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1367535 + ... + 2115848.

It is an arithmetic number, because the mean of its divisors is an integer number (89662304160).

Almost surely, 21303332133131 is an apocalyptic number.

1303332133131 is a deficient number, since it is larger than the sum of its proper divisors (848563166709).

1303332133131 is a wasteful number, since it uses less digits than its factorization.

1303332133131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3489335 (or 3489332 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 1303332133131 its reverse (1313312333031), we get a palindrome (2616644466162).

The spelling of 1303332133131 in words is "one trillion, three hundred three billion, three hundred thirty-two million, one hundred thirty-three thousand, one hundred thirty-one".

Divisors: 1 3 7 9 21 63 5939 17817 41573 53451 124719 374157 3483383 10450149 24383681 31350447 73151043 219453129 20687811637 62063434911 144814681459 186190304733 434444044377 1303332133131