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13131130311210 = 23510713935478297
BaseRepresentation
bin1011111100010101010001…
…0110111001001000101010
31201111022202001022112101110
42333011110112321020222
53210120023324424320
643532205154131150
72523456436014612
oct277052426711052
951438661275343
1013131130311210
11420297680741a
121580a98b80ab6
1374334ca94442
1433579b67da42
1517b88686c5e0
hexbf1545b922a

13131130311210 has 128 divisors (see below), whose sum is σ = 32050981186560. Its totient is φ = 3442567094784.

The previous prime is 13131130311197. The next prime is 13131130311227. The reversal of 13131130311210 is 1211303113131.

13131130311210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1582631782 + ... + 1582640078.

It is an arithmetic number, because the mean of its divisors is an integer number (250398290520).

Almost surely, 213131130311210 is an apocalyptic number.

13131130311210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13131130311210 is an abundant number, since it is smaller than the sum of its proper divisors (18919850875350).

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

13131130311210 is a wasteful number, since it uses less digits than its factorization.

13131130311210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12100.

The product of its (nonzero) digits is 162, while the sum is 21.

Adding to 13131130311210 its reverse (1211303113131), we get a palindrome (14342433424341).

The spelling of 13131130311210 in words is "thirteen trillion, one hundred thirty-one billion, one hundred thirty million, three hundred eleven thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 30 107 139 214 278 321 417 535 642 695 834 1070 1390 1605 2085 3210 3547 4170 7094 8297 10641 14873 16594 17735 21282 24891 29746 35470 41485 44619 49782 53205 74365 82970 89238 106410 124455 148730 223095 248910 379529 446190 493033 759058 887779 986066 1138587 1153283 1479099 1775558 1897645 2277174 2306566 2465165 2663337 2958198 3459849 3795290 4438895 4930330 5326674 5692935 5766415 6919698 7395495 8877790 11385870 11532830 13316685 14790990 17299245 26633370 29429459 34598490 52754531 58858918 88288377 105509062 123401281 147147295 158263593 176576754 246802562 263772655 294294590 316527186 370203843 441441885 527545310 617006405 740407686 791317965 882883770 1234012810 1582635930 1851019215 3148952113 3702038430 4090694801 6297904226 8181389602 9446856339 12272084403 15744760565 18893712678 20453474005 24544168806 31489521130 40906948010 47234281695 61360422015 94468563390 122720844030 437704343707 875408687414 1313113031121 2188521718535 2626226062242 4377043437070 6565565155605 13131130311210