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133053012 = 223273197257
BaseRepresentation
bin1111110111000…
…11101001010100
3100021100210102100
413323203221110
5233030144022
621111442100
73203634441
oct773435124
9307323370
10133053012
1169117774
1238686330
13217472c1
14139569c8
15ba331ac
hex7ee3a54

133053012 has 72 divisors (see below), whose sum is σ = 343999656. Its totient is φ = 43352064.

The previous prime is 133053001. The next prime is 133053043. The reversal of 133053012 is 210350331.

133053012 is a `hidden beast` number, since 133 + 0 + 530 + 1 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 103306896 + 29746116 = 10164^2 + 5454^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 517588 + ... + 517844.

It is an arithmetic number, because the mean of its divisors is an integer number (4777773).

Almost surely, 2133053012 is an apocalyptic number.

133053012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133053012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171999828).

133053012 is an abundant number, since it is smaller than the sum of its proper divisors (210946644).

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

133053012 is a wasteful number, since it uses less digits than its factorization.

133053012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 133053012 is about 11534.8607273777. The cubic root of 133053012 is about 510.5146822632.

The spelling of 133053012 in words is "one hundred thirty-three million, fifty-three thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 197 219 257 292 394 438 514 591 657 771 788 876 1028 1182 1314 1542 1773 2313 2364 2628 3084 3546 4626 7092 9252 14381 18761 28762 37522 43143 50629 56283 57524 75044 86286 101258 112566 129429 151887 168849 172572 202516 225132 258858 303774 337698 455661 517716 607548 675396 911322 1822644 3695917 7391834 11087751 14783668 22175502 33263253 44351004 66526506 133053012