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13131332303232 = 2731113239134111
BaseRepresentation
bin1011111100010110000001…
…1001011011100110000000
31201111100021010101210100110
42333011200121123212000
53210120432032200412
643532241211351320
72523464440636623
oct277054031334600
951440233353313
1013131332303232
114202a6a82aa80
121580b34752540
13743382898350
143357ba41ddba
1517b89946bd3c
hexbf16065b980

13131332303232 has 128 divisors (see below), whose sum is σ = 40978021432320. Its totient is φ = 3673099929600.

The previous prime is 13131332303231. The next prime is 13131332303279. The reversal of 13131332303232 is 23230323313131.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13131332303232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13131332303231) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119512144 + ... + 119621967.

It is an arithmetic number, because the mean of its divisors is an integer number (320140792440).

Almost surely, 213131332303232 is an apocalyptic number.

13131332303232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13131332303232 is an abundant number, since it is smaller than the sum of its proper divisors (27846689129088).

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

13131332303232 is a wasteful number, since it uses less digits than its factorization.

13131332303232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239134152 (or 239134140 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 30.

Adding to 13131332303232 its reverse (23230323313131), we get a palindrome (36361655616363).

The spelling of 13131332303232 in words is "thirteen trillion, one hundred thirty-one billion, three hundred thirty-two million, three hundred three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 64 66 78 88 96 104 128 132 143 156 176 192 208 264 286 312 352 384 416 429 528 572 624 704 832 858 1056 1144 1248 1408 1664 1716 2112 2288 2496 3432 4224 4576 4992 6864 9152 13728 18304 27456 54912 239134111 478268222 717402333 956536444 1434804666 1913072888 2630475221 2869609332 3108743443 3826145776 5260950442 5739218664 6217486886 7652291552 7891425663 9326230329 10521900884 11478437328 12434973772 15304583104 15782851326 18652460658 21043801768 22956874656 24869947544 30609166208 31565702652 34196177873 37304921316 42087603536 45913749312 49739895088 63131405304 68392355746 74609842632 84175207072 91827498624 99479790176 102588533619 126262810608 136784711492 149219685264 168350414144 198959580352 205177067238 252525621216 273569422984 298439370528 336700828288 397919160704 410354134476 505051242432 547138845968 596878741056 820708268952 1010102484864 1094277691936 1193757482112 1641416537904 2188555383872 3282833075808 4377110767744 6565666151616 13131332303232