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1021131113013 = 3211312243148339
BaseRepresentation
bin11101101110000000010…
…10000100001000110101
310121121201101100012002100
432313000022010020311
5113212234031104023
62101033503332313
7133526403151344
oct16670012041065
93547641305070
101021131113013
1136407198a960
12145a9a8b1099
13753a50c88cb
14375cca49b5b
151b866961c43
hexedc0284235

1021131113013 has 48 divisors (see below), whose sum is σ = 1661711800320. Its totient is φ = 598632832800.

The previous prime is 1021131113011. The next prime is 1021131113053. The reversal of 1021131113013 is 3103111311201.

1021131113013 is a `hidden beast` number, since 1 + 0 + 211 + 311 + 130 + 13 = 666.

It is not a de Polignac number, because 1021131113013 - 21 = 1021131113011 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021131113011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6809598 + ... + 6957936.

It is an arithmetic number, because the mean of its divisors is an integer number (34618995840).

Almost surely, 21021131113013 is an apocalyptic number.

It is an amenable number.

1021131113013 is a deficient number, since it is larger than the sum of its proper divisors (640580687307).

1021131113013 is a wasteful number, since it uses less digits than its factorization.

1021131113013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150630 (or 150627 counting only the distinct ones).

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

Adding to 1021131113013 its reverse (3103111311201), we get a palindrome (4124242424214).

The spelling of 1021131113013 in words is "one trillion, twenty-one billion, one hundred thirty-one million, one hundred thirteen thousand, thirteen".

Divisors: 1 3 9 11 31 33 93 99 279 341 1023 2243 3069 6729 20187 24673 69533 74019 148339 208599 222057 445017 625797 764863 1335051 1631729 2294589 4598509 4895187 6883767 13795527 14685561 41386581 50583599 151750797 332724377 455252391 998173131 2994519393 3659968147 10314455687 10979904441 30943367061 32939713323 92830101183 113459012557 340377037671 1021131113013