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133112331001 = 1321495286221
BaseRepresentation
bin111101111111000011…
…1001111101011111001
3110201120211100001010101
41323332013033223321
54140103224043001
6141052335115401
712421435100446
oct1737607175371
9421524301111
10133112331001
11514a8493511
122196b072b61
13c724929400
14662a9929cd
1536e11e5a01
hex1efe1cfaf9

133112331001 has 12 divisors (see below), whose sum is σ = 145106793900. Its totient is φ = 122048247360.

The previous prime is 133112330993. The next prime is 133112331017. The reversal of 133112331001 is 100133211331.

It can be written as a sum of positive squares in 6 ways, for example, as 71796666601 + 61315664400 = 267949^2 + 247620^2 .

It is not a de Polignac number, because 133112331001 - 23 = 133112330993 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 133112331001.

It is not an unprimeable number, because it can be changed into a prime (133112331071) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2617930 + ... + 2668291.

It is an arithmetic number, because the mean of its divisors is an integer number (12092232825).

Almost surely, 2133112331001 is an apocalyptic number.

It is an amenable number.

133112331001 is a deficient number, since it is larger than the sum of its proper divisors (11994462899).

133112331001 is a wasteful number, since it uses less digits than its factorization.

133112331001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5286396 (or 5286383 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 133112331001 its reverse (100133211331), we get a palindrome (233245542332).

The spelling of 133112331001 in words is "one hundred thirty-three billion, one hundred twelve million, three hundred thirty-one thousand, one".

Divisors: 1 13 149 169 1937 25181 5286221 68720873 787646929 893371349 10239410077 133112331001