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133120033132301 = 171931431070928871
BaseRepresentation
bin11110010001001001101100…
…010010011000111100001101
3122110100011001222210110200122
4132101021230102120330031
5114422014311440213201
61151042255440034325
740016414342563565
oct3621115422307415
9573304058713618
10133120033132301
11394639862a8896
1212b1b6799029a5
13593821c100057
1424c3088983da5
15105cb56b39e1b
hex79126c498f0d

133120033132301 has 64 divisors (see below), whose sum is σ = 156736987545600. Its totient is φ = 112180708684800.

The previous prime is 133120033132223. The next prime is 133120033132337. The reversal of 133120033132301 is 103231330021331.

It is a cyclic number.

It is not a de Polignac number, because 133120033132301 - 242 = 128721986621197 is a prime.

It is a super-2 number, since 2×1331200331323012 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133120033132901) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4610841896 + ... + 4610870766.

It is an arithmetic number, because the mean of its divisors is an integer number (2449015430400).

Almost surely, 2133120033132301 is an apocalyptic number.

It is an amenable number.

133120033132301 is a deficient number, since it is larger than the sum of its proper divisors (23616954413299).

133120033132301 is a wasteful number, since it uses less digits than its factorization.

133120033132301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39690.

The product of its (nonzero) digits is 2916, while the sum is 26.

Adding to 133120033132301 its reverse (103231330021331), we get a palindrome (236351363153632).

The spelling of 133120033132301 in words is "one hundred thirty-three trillion, one hundred twenty billion, thirty-three million, one hundred thirty-two thousand, three hundred one".

Divisors: 1 17 19 31 43 323 527 589 731 817 1333 10013 10709 13889 22661 25327 28871 182053 203471 331979 430559 460487 490807 548549 895001 1241453 3459007 5643643 6307601 7828279 8749253 9325333 14275097 15215017 17005019 21104701 23587607 38485043 107229217 148737301 242676649 271226843 289085323 309179539 400989319 654245731 731215817 4610856331 5256052163 5874411241 9584565709 12430668889 13294720177 99864991097 162937617053 182106748471 226010243009 252599683363 412136325487 3095814724007 4294194617171 7006317533279 7830590184253 133120033132301