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133135038 = 2321312431
BaseRepresentation
bin1111110111101…
…11101010111110
3100021111221221100
413323313222332
5233040310123
621113313530
73204425541
oct773675276
9307457840
10133135038
1169173363
12387058a6
132177573a
1413978858
15ba4c643
hex7ef7abe

133135038 has 36 divisors (see below), whose sum is σ = 291352464. Its totient is φ = 43937400.

The previous prime is 133135021. The next prime is 133135043. The reversal of 133135038 is 830531331.

It is a super-3 number, since 3×1331350383 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 308683 + ... + 309113.

It is an arithmetic number, because the mean of its divisors is an integer number (8093124).

Almost surely, 2133135038 is an apocalyptic number.

133135038 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

133135038 is an abundant number, since it is smaller than the sum of its proper divisors (158217426).

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

133135038 is a wasteful number, since it uses less digits than its factorization.

133135038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 133135038 is about 11538.4157491399. The cubic root of 133135038 is about 510.6195699676.

Adding to 133135038 its reverse (830531331), we get a palindrome (963666369).

The spelling of 133135038 in words is "one hundred thirty-three million, one hundred thirty-five thousand, thirty-eight".

Divisors: 1 2 3 6 9 18 131 262 393 431 786 862 1179 1293 2358 2586 3879 7758 17161 34322 51483 56461 102966 112922 154449 169383 308898 338766 508149 1016298 7396391 14792782 22189173 44378346 66567519 133135038