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133273125430401 = 311217105012056631
BaseRepresentation
bin11110010011011000010001…
…010011001010010010000001
3122110212210020020222000002110
4132103120101103022102001
5114432021330102233101
61151240454551205533
740033444200624315
oct3623302123122201
9573783206860073
10133273125430401
11395128a6978300
1212b452840768a9
1359497a920b9a8
1424ca64ccc5b45
151061b16e40cd6
hex7936114ca481

133273125430401 has 48 divisors (see below), whose sum is σ = 206829622952064. Its totient is φ = 76013044800000.

The previous prime is 133273125430397. The next prime is 133273125430439. The reversal of 133273125430401 is 104034521372331.

It is not a de Polignac number, because 133273125430401 - 22 = 133273125430397 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 133273125430401.

It is not an unprimeable number, because it can be changed into a prime (133273125434401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63773356 + ... + 65829986.

It is an arithmetic number, because the mean of its divisors is an integer number (4308950478168).

Almost surely, 2133273125430401 is an apocalyptic number.

133273125430401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

133273125430401 is a deficient number, since it is larger than the sum of its proper divisors (73556497521663).

133273125430401 is a wasteful number, since it uses less digits than its factorization.

133273125430401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2067174 (or 2067163 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 39.

The spelling of 133273125430401 in words is "one hundred thirty-three trillion, two hundred seventy-three billion, one hundred twenty-five million, four hundred thirty thousand, four hundred one".

Divisors: 1 3 11 17 33 51 121 187 363 561 2057 6171 10501 31503 115511 178517 346533 535551 1270621 1963687 2056631 3811863 5891061 6169893 21600557 22622941 34962727 64801671 67868823 104888181 248852351 384589997 746557053 1153769991 4230489967 12691469901 21596682131 64790046393 237563503441 367143596227 712690510323 1101430788681 2613198537851 4038579558497 7839595613553 12115738675491 44424375143467 133273125430401