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1322013100131 = 33194435817209
BaseRepresentation
bin10011001111001110000…
…111110000100001100011
311200101100100212210201000
4103033032013300201203
5133124440323201011
62451154024443043
7164340500641023
oct23171607604143
94611310783630
101322013100131
1146a731a26129
1219426b619483
1397885885089
1447db2d79a83
15245c6790356
hex133ce1f0863

1322013100131 has 32 divisors (see below), whose sum is σ = 2066272992000. Its totient is φ = 833070723264.

The previous prime is 1322013100127. The next prime is 1322013100139. The reversal of 1322013100131 is 1310013102231.

1322013100131 is a `hidden beast` number, since 1 + 3 + 220 + 1 + 310 + 0 + 131 = 666.

It is not a de Polignac number, because 1322013100131 - 22 = 1322013100127 is a prime.

It is a super-2 number, since 2×13220131001312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1322013100139) 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, 2681346 + ... + 3135863.

It is an arithmetic number, because the mean of its divisors is an integer number (64571031000).

Almost surely, 21322013100131 is an apocalyptic number.

1322013100131 is a deficient number, since it is larger than the sum of its proper divisors (744259891869).

1322013100131 is a wasteful number, since it uses less digits than its factorization.

1322013100131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5817680 (or 5817674 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1322013100131 its reverse (1310013102231), we get a palindrome (2632026202362).

The spelling of 1322013100131 in words is "one trillion, three hundred twenty-two billion, thirteen million, one hundred thousand, one hundred thirty-one".

Divisors: 1 3 9 19 27 57 171 443 513 1329 3987 8417 11961 25251 75753 227259 5817209 17451627 52354881 110526971 157064643 331580913 994742739 2577023587 2984228217 7731070761 23193212283 48963448153 69579636849 146890344459 440671033377 1322013100131