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13003334543115 = 3257198941242999
BaseRepresentation
bin1011110100111001001100…
…1000101110011100001011
31201001002212202000212111100
42331032103020232130023
53201021312120334430
643353352135232443
72511313515633420
oct275162310563413
951032782025440
1013003334543115
114163757398354
121560172518723
13734294773557
1432d516c33d47
151783a72ae960
hexbd39322e70b

13003334543115 has 96 divisors (see below), whose sum is σ = 27117866880000. Its totient is φ = 5630866295040.

The previous prime is 13003334543081. The next prime is 13003334543131. The reversal of 13003334543115 is 51134543330031.

It is a happy number.

13003334543115 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 3 + 334 + 5 + 4 + 311 + 5 = 666.

It is not a de Polignac number, because 13003334543115 - 227 = 13003200325387 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13003334543115.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53390386 + ... + 53633384.

It is an arithmetic number, because the mean of its divisors is an integer number (282477780000).

Almost surely, 213003334543115 is an apocalyptic number.

13003334543115 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13003334543115 is an abundant number, since it is smaller than the sum of its proper divisors (14114532336885).

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

13003334543115 is a wasteful number, since it uses less digits than its factorization.

13003334543115 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251977 (or 251974 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

Adding to 13003334543115 its reverse (51134543330031), we get a palindrome (64137877873146).

The spelling of 13003334543115 in words is "thirteen trillion, three billion, three hundred thirty-four million, five hundred forty-three thousand, one hundred fifteen".

Divisors: 1 3 5 7 9 15 19 21 35 45 57 63 95 105 133 171 285 315 399 665 855 1197 1995 5985 8941 26823 44705 62587 80469 134115 169879 187761 242999 312935 402345 509637 563283 728997 849395 938805 1189153 1214995 1528911 1700993 2186991 2548185 2816415 3567459 3644985 4616981 5102979 5945765 7644555 8504965 10702377 10934955 13850943 15308937 17837295 23084905 25514895 32318867 41552829 53511885 69254715 76544685 96956601 161594335 207764145 290869803 484783005 1454349015 2172654059 6517962177 10863270295 15208578413 19553886531 32589810885 41280427121 45625735239 76042892065 97769432655 123841281363 136877205717 206402135605 228128676195 288962989847 371523844089 619206406815 684386028585 866888969541 1444814949235 1857619220445 2600666908623 4334444847705 13003334543115