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133213202304 = 2737133812191
BaseRepresentation
bin111110000010000100…
…0000010011110000000
3110201211212010211112120
41330010020002132000
54140310034433204
6141110341124240
712424101352050
oct1740410023600
9421755124476
10133213202304
115154a41a626
12219989b9680
13c73c7b6680
14663a12d560
1536e9ebd6d9
hex1f04202780

133213202304 has 128 divisors (see below), whose sum is σ = 435504814080. Its totient is φ = 35133143040.

The previous prime is 133213202299. The next prime is 133213202347. The reversal of 133213202304 is 403202312331.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1871152 + ... + 1941039.

It is an arithmetic number, because the mean of its divisors is an integer number (3402381360).

Almost surely, 2133213202304 is an apocalyptic number.

133213202304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

133213202304 is an abundant number, since it is smaller than the sum of its proper divisors (302291611776).

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

133213202304 is a wasteful number, since it uses less digits than its factorization.

133213202304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3812228 (or 3812216 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 133213202304 its reverse (403202312331), we get a palindrome (536415514635).

The spelling of 133213202304 in words is "one hundred thirty-three billion, two hundred thirteen million, two hundred two thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 128 156 168 182 192 208 224 273 312 336 364 384 416 448 546 624 672 728 832 896 1092 1248 1344 1456 1664 2184 2496 2688 2912 4368 4992 5824 8736 11648 17472 34944 3812191 7624382 11436573 15248764 22873146 26685337 30497528 45746292 49558483 53370674 60995056 80056011 91492584 99116966 106741348 121990112 148675449 160112022 182985168 198233932 213482696 243980224 297350898 320224044 346909381 365970336 396467864 426965392 487960448 594701796 640448088 693818762 731940672 792935728 853930784 1040728143 1189403592 1280896176 1387637524 1463881344 1585871456 1707861568 2081456286 2378807184 2561792352 2775275048 3171742912 3415723136 4162912572 4757614368 5123584704 5550550096 6343485824 8325825144 9515228736 10247169408 11101100192 16651650288 19030457472 22202200384 33303300576 44404400768 66606601152 133213202304