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13131222222120 = 23352919319550983
BaseRepresentation
bin1011111100010101100111…
…0101100000010100101000
31201111022222110021002110020
42333011121311200110220
53210120220342101440
643532222240120440
72523461633156502
oct277053165402450
951438873232406
1013131222222120
114202a13683452
121580b03906120
13743365b350b2
143357a9966d72
1517b88e9753d0
hexbf159d60528

13131222222120 has 128 divisors (see below), whose sum is σ = 40963221676800. Its totient is φ = 3363394535424.

The previous prime is 13131222222101. The next prime is 13131222222143. The reversal of 13131222222120 is 2122222213131.

It is a super-2 number, since 2×131312222221202 (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9103852 + ... + 10447131.

It is an arithmetic number, because the mean of its divisors is an integer number (320025169350).

Almost surely, 213131222222120 is an apocalyptic number.

13131222222120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13131222222120 is an abundant number, since it is smaller than the sum of its proper divisors (27831999454680).

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

13131222222120 is a wasteful number, since it uses less digits than its factorization.

13131222222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19551219 (or 19551215 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 13131222222120 its reverse (2122222213131), we get a palindrome (15253444435251).

The spelling of 13131222222120 in words is "thirteen trillion, one hundred thirty-one billion, two hundred twenty-two million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 193 232 290 348 386 435 579 580 696 772 870 965 1158 1160 1544 1740 1930 2316 2895 3480 3860 4632 5597 5790 7720 11194 11580 16791 22388 23160 27985 33582 44776 55970 67164 83955 111940 134328 167910 223880 335820 671640 19550983 39101966 58652949 78203932 97754915 117305898 156407864 195509830 234611796 293264745 391019660 469223592 566978507 586529490 782039320 1133957014 1173058980 1700935521 2267914028 2346117960 2834892535 3401871042 3773339719 4535828056 5669785070 6803742084 7546679438 8504677605 11320019157 11339570140 13607484168 15093358876 17009355210 18866698595 22640038314 22679140280 30186717752 34018710420 37733397190 45280076628 56600095785 68037420840 75466794380 90560153256 109426851851 113200191570 150933588760 218853703702 226400383140 328280555553 437707407404 452800766280 547134259255 656561111106 875414814808 1094268518510 1313122222212 1641402777765 2188537037020 2626244444424 3282805555530 4377074074040 6565611111060 13131222222120