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133044124104 = 23337316135231
BaseRepresentation
bin111101111101000001…
…1000011100111001000
3110201102001222202212000
41323322003003213020
54134433243432404
6141041501151000
712416646252513
oct1737203034710
9421361882760
10133044124104
1151472a37681
122195025b460
13c713767ab8
1466218b9d7a
1536da221339
hex1efa0c39c8

133044124104 has 128 divisors (see below), whose sum is σ = 374933491200. Its totient is φ = 43705059840.

The previous prime is 133044124067. The next prime is 133044124127. The reversal of 133044124104 is 401421440331.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 25431169 + ... + 25436399.

It is an arithmetic number, because the mean of its divisors is an integer number (2929167900).

Almost surely, 2133044124104 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 133044124104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187466745600).

133044124104 is an abundant number, since it is smaller than the sum of its proper divisors (241889367096).

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

133044124104 is a wasteful number, since it uses less digits than its factorization.

133044124104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6932 (or 6922 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 133044124104 its reverse (401421440331), we get a palindrome (534465564435).

The spelling of 133044124104 in words is "one hundred thirty-three billion, forty-four million, one hundred twenty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 73 108 146 216 219 292 438 584 657 876 1314 1613 1752 1971 2628 3226 3942 4839 5231 5256 6452 7884 9678 10462 12904 14517 15693 15768 19356 20924 29034 31386 38712 41848 43551 47079 58068 62772 87102 94158 116136 117749 125544 141237 174204 188316 235498 282474 348408 353247 376632 381863 470996 564948 706494 763726 941992 1059741 1129896 1145589 1412988 1527452 2119482 2291178 2825976 3054904 3179223 3436767 4238964 4582356 6358446 6873534 8437603 8477928 9164712 10310301 12716892 13747068 16875206 20620602 25312809 25433784 27494136 33750412 41241204 50625618 67500824 75938427 82482408 101251236 151876854 202502472 227815281 303753708 455630562 607507416 615945019 911261124 1231890038 1822522248 1847835057 2463780076 3695670114 4927560152 5543505171 7391340228 11087010342 14782680456 16630515513 22174020684 33261031026 44348041368 66522062052 133044124104