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133901312 = 210433041
BaseRepresentation
bin1111111101100…
…10110000000000
3100022221220001212
413332302300000
5233234320222
621141545252
73214066556
oct776626000
9308856055
10133901312
1169647046
1238a15228
132198345c
1413ad7bd6
15bb4e6e2
hex7fb2c00

133901312 has 44 divisors (see below), whose sum is σ = 273986856. Its totient is φ = 65372160.

The previous prime is 133901297. The next prime is 133901321. The reversal of 133901312 is 213109331.

It is a super-2 number, since 2×1339013122 = 35859122710642688, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 42512 + ... + 45552.

It is an arithmetic number, because the mean of its divisors is an integer number (6226974).

Almost surely, 2133901312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133901312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136993428).

133901312 is an abundant number, since it is smaller than the sum of its proper divisors (140085544).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

133901312 is an equidigital number, since it uses as much as digits as its factorization.

133901312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3104 (or 3086 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 23.

The square root of 133901312 is about 11571.5734453012. The cubic root of 133901312 is about 511.5973396624.

The spelling of 133901312 in words is "one hundred thirty-three million, nine hundred one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 256 344 512 688 1024 1376 2752 3041 5504 6082 11008 12164 22016 24328 44032 48656 97312 130763 194624 261526 389248 523052 778496 1046104 1556992 2092208 3113984 4184416 8368832 16737664 33475328 66950656 133901312