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1002111331131 = 321731477143573
BaseRepresentation
bin11101001010100100111…
…11010110101100111011
310112210121212021011022100
432211102133112230323
5112404311000044011
62044210311354443
7132254152525251
oct16452237265473
93483555234270
101002111331131
11356aa17a3259
12142271082a23
13736638230c1
1436706a025d1
151b101cbad56
hexe9527d6b3b

1002111331131 has 24 divisors (see below), whose sum is σ = 1455993139536. Its totient is φ = 664152310080.

The previous prime is 1002111331127. The next prime is 1002111331139. The reversal of 1002111331131 is 1311331112001.

1002111331131 is a `hidden beast` number, since 100 + 211 + 13 + 311 + 31 = 666.

It is not a de Polignac number, because 1002111331131 - 22 = 1002111331127 is a prime.

It is a super-2 number, since 2×10021113311312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1002111331139) 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, 22976661 + ... + 23020233.

It is an arithmetic number, because the mean of its divisors is an integer number (60666380814).

Almost surely, 21002111331131 is an apocalyptic number.

1002111331131 is a deficient number, since it is larger than the sum of its proper divisors (453881808405).

1002111331131 is a wasteful number, since it uses less digits than its factorization.

1002111331131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58523 (or 58520 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 1002111331131 its reverse (1311331112001), we get a palindrome (2313442443132).

The spelling of 1002111331131 in words is "one trillion, two billion, one hundred eleven million, three hundred thirty-one thousand, one hundred thirty-one".

Divisors: 1 3 9 173 519 1557 14771 43573 44313 130719 132939 392157 2555383 7538129 7666149 22614387 22998447 67843161 643616783 1930850349 5792551047 111345703459 334037110377 1002111331131