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133720231525155 = 325112111280293279
BaseRepresentation
bin11110011001111000101010…
…111001100011101100100011
3122112110112021211221221000100
4132121320222321203230203
5120011333013232301110
61152222120514353443
740110652665003462
oct3631705271435443
9575415254857010
10133720231525155
1139675482686920
1212bb7a62b8b883
13597c9c0ba1182
14250414530c9d9
15106d5840e5bc0
hex799e2ae63b23

133720231525155 has 48 divisors (see below), whose sum is σ = 254051156136960. Its totient is φ = 64526781211200.

The previous prime is 133720231525151. The next prime is 133720231525157. The reversal of 133720231525155 is 551525132027331.

133720231525155 is a `hidden beast` number, since 1 + 3 + 3 + 72 + 0 + 2 + 3 + 1 + 525 + 1 + 55 = 666.

It is not a de Polignac number, because 133720231525155 - 22 = 133720231525151 is a prime.

It is a super-4 number, since 4×1337202315251554 (a number of 58 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 133720231525155.

It is not an unprimeable number, because it can be changed into a prime (133720231525151) 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, 640042195 + ... + 640251084.

It is an arithmetic number, because the mean of its divisors is an integer number (5292732419520).

Almost surely, 2133720231525155 is an apocalyptic number.

133720231525155 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

133720231525155 is a deficient number, since it is larger than the sum of its proper divisors (120330924611805).

133720231525155 is a wasteful number, since it uses less digits than its factorization.

133720231525155 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1280293512 (or 1280293509 counting only the distinct ones).

The product of its (nonzero) digits is 945000, while the sum is 45.

The spelling of 133720231525155 in words is "one hundred thirty-three trillion, seven hundred twenty billion, two hundred thirty-one million, five hundred twenty-five thousand, one hundred fifty-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 165 211 495 633 1055 1899 2321 3165 6963 9495 11605 20889 34815 104445 1280293279 3840879837 6401466395 11522639511 14083226069 19204399185 42249678207 57613197555 70416130345 126749034621 211248391035 270141881869 633745173105 810425645607 1350709409345 2431276936821 2971560700559 4052128228035 8914682101677 12156384684105 14857803502795 26744046305031 44573410508385 133720231525155