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13131212122000 = 245372932342887
BaseRepresentation
bin1011111100010101100100…
…1110111110011110010000
31201111022221202020221200201
42333011121032332132100
53210120210300401000
643532221235424544
72523461451262210
oct277053116763620
951438852227621
1013131212122000
114202a08a05045
121580b00455154
13743363a09aab
143357a8498240
1517b88db2c96a
hexbf1593be790

13131212122000 has 160 divisors (see below), whose sum is σ = 37538449528320. Its totient is φ = 4346883878400.

The previous prime is 13131212121997. The next prime is 13131212122013. The reversal of 13131212122000 is 22121213131.

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, 15765444 + ... + 16577443.

It is an arithmetic number, because the mean of its divisors is an integer number (234615309552).

Almost surely, 213131212122000 is an apocalyptic number.

13131212122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13131212122000 is an abundant number, since it is smaller than the sum of its proper divisors (24407237406320).

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

13131212122000 is a wasteful number, since it uses less digits than its factorization.

13131212122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32342946 (or 32342930 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 13131212122000 its reverse (22121213131), we get a palindrome (13153333335131).

The spelling of 13131212122000 in words is "thirteen trillion, one hundred thirty-one billion, two hundred twelve million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 29 35 40 50 56 58 70 80 100 112 116 125 140 145 175 200 203 232 250 280 290 350 400 406 464 500 560 580 700 725 812 875 1000 1015 1160 1400 1450 1624 1750 2000 2030 2320 2800 2900 3248 3500 3625 4060 5075 5800 7000 7250 8120 10150 11600 14000 14500 16240 20300 25375 29000 40600 50750 58000 81200 101500 203000 406000 32342887 64685774 129371548 161714435 226400209 258743096 323428870 452800418 517486192 646857740 808572175 905600836 937943723 1132001045 1293715480 1617144350 1811201672 1875887446 2264002090 2587430960 3234288700 3622403344 3751774892 4042860875 4528004180 4689718615 5660005225 6468577400 6565606061 7503549784 8085721750 9056008360 9379437230 11320010450 12937154800 13131212122 15007099568 16171443500 18112016720 18758874460 22640020900 23448593075 26262424244 28300026125 32342887000 32828030305 37517748920 45280041800 46897186150 52524848488 56600052250 64685774000 65656060610 75035497840 90560083600 93794372300 105049696976 113200104500 117242965375 131312121220 164140151525 187588744600 226400209000 234485930750 262624242440 328280303050 375177489200 452800418000 468971861500 525248484880 656560606100 820700757625 937943723000 1313121212200 1641401515250 1875887446000 2626242424400 3282803030500 6565606061000 13131212122000