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133322133321 = 32136771683169
BaseRepresentation
bin111110000101010011…
…1100100111101001001
3110202010110010002210200
41330022213210331021
54141020431231241
6141125232002413
712426563302146
oct1741247447511
9422113102720
10133322133321
11515a5961063
1221a09390409
13c7592362b0
14664a7a73cd
1537048394b6
hex1f0a9e4f49

133322133321 has 24 divisors (see below), whose sum is σ = 207696445320. Its totient is φ = 81923152896.

The previous prime is 133322133319. The next prime is 133322133341. The reversal of 133322133321 is 123331223331.

133322133321 is a `hidden beast` number, since 1 + 3 + 3 + 322 + 1 + 3 + 332 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 58032810000 + 75289323321 = 240900^2 + 274389^2 .

It is not a de Polignac number, because 133322133321 - 21 = 133322133319 is a prime.

It is not an unprimeable number, because it can be changed into a prime (133322133341) 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, 762376 + ... + 920793.

It is an arithmetic number, because the mean of its divisors is an integer number (8654018555).

Almost surely, 2133322133321 is an apocalyptic number.

It is an amenable number.

133322133321 is a deficient number, since it is larger than the sum of its proper divisors (74374311999).

133322133321 is a wasteful number, since it uses less digits than its factorization.

133322133321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1683865 (or 1683862 counting only the distinct ones).

The product of its digits is 5832, while the sum is 27.

Adding to 133322133321 its reverse (123331223331), we get a palindrome (256653356652).

The spelling of 133322133321 in words is "one hundred thirty-three billion, three hundred twenty-two million, one hundred thirty-three thousand, three hundred twenty-one".

Divisors: 1 3 9 13 39 117 677 2031 6093 8801 26403 79209 1683169 5049507 15148521 21881197 65643591 196930773 1139505413 3418516239 10255548717 14813570369 44440711107 133322133321