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13110100042320 = 2432567271768243
BaseRepresentation
bin1011111011000110111011…
…0110110010001001010000
31201102022110102011011220200
42332301232312302021100
53204243441102323240
643514410302335200
72522113333461411
oct276615666621120
951368412134820
1013110100042320
1141a4a64770106
1215789a9b8a500
1374137ab12158
1433476460b808
1517b055441930
hexbec6edb2250

13110100042320 has 120 divisors (see below), whose sum is σ = 44685221751456. Its totient is φ = 3443847162624.

The previous prime is 13110100042309. The next prime is 13110100042339. The reversal of 13110100042320 is 2324000101131.

13110100042320 is a `hidden beast` number, since 13 + 110 + 100 + 0 + 423 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 13110100042293 and 13110100042302.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 135835882 + ... + 135932361.

Almost surely, 213110100042320 is an apocalyptic number.

13110100042320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13110100042320 is an abundant number, since it is smaller than the sum of its proper divisors (31575121709136).

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

13110100042320 is a wasteful number, since it uses less digits than its factorization.

13110100042320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271768329 (or 271768320 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13110100042320 its reverse (2324000101131), we get a palindrome (15434100143451).

The spelling of 13110100042320 in words is "thirteen trillion, one hundred ten billion, one hundred million, forty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 67 72 80 90 120 134 144 180 201 240 268 335 360 402 536 603 670 720 804 1005 1072 1206 1340 1608 2010 2412 2680 3015 3216 4020 4824 5360 6030 8040 9648 12060 16080 24120 48240 271768243 543536486 815304729 1087072972 1358841215 1630609458 2174145944 2445914187 2717682430 3261218916 4076523645 4348291888 4891828374 5435364860 6522437832 8153047290 9783656748 10870729720 12229570935 13044875664 16306094580 18208472281 19567313496 21741459440 24459141870 32612189160 36416944562 39134626992 48918283740 54625416843 65224378320 72833889124 91042361405 97836567480 109250833686 145667778248 163876250529 182084722810 195673134960 218501667372 273127084215 291335556496 327752501058 364169445620 437003334744 546254168430 655505002116 728338891240 819381252645 874006669488 1092508336860 1311010004232 1456677782480 1638762505290 2185016673720 2622020008464 3277525010580 4370033347440 6555050021160 13110100042320