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201231131232120 = 2335111283118821377
BaseRepresentation
bin101101110000010011000110…
…000110000100011101111000
3222101111111201112020121122220
4231300103012012010131320
5202333432324043411440
61551552145552244040
760246320011162323
oct5560230606043570
9871444645217586
10201231131232120
115913370954a950
121a69bb36840620
1388390254063a2
1437998d29057ba
15183e73bd588d0
hexb704c6184778

201231131232120 has 128 divisors (see below), whose sum is σ = 659087925200640. Its totient is φ = 48745281290240.

The previous prime is 201231131232107. The next prime is 201231131232121. The reversal of 201231131232120 is 21232131132102.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201231131232121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57717129 + ... + 61104248.

It is an arithmetic number, because the mean of its divisors is an integer number (5149124415630).

Almost surely, 2201231131232120 is an apocalyptic number.

201231131232120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201231131232120 is an abundant number, since it is smaller than the sum of its proper divisors (457856793968520).

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

201231131232120 is a wasteful number, since it uses less digits than its factorization.

201231131232120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118822685 (or 118822681 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 201231131232120 its reverse (21232131132102), we get a palindrome (222463262364222).

The spelling of 201231131232120 in words is "two hundred one trillion, two hundred thirty-one billion, one hundred thirty-one million, two hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1283 1320 2566 3849 5132 6415 7698 10264 12830 14113 15396 19245 25660 28226 30792 38490 42339 51320 56452 70565 76980 84678 112904 141130 153960 169356 211695 282260 338712 423390 564520 846780 1693560 118821377 237642754 356464131 475285508 594106885 712928262 950571016 1188213770 1307035147 1425856524 1782320655 2376427540 2614070294 2851713048 3564641310 3921105441 4752855080 5228140588 6535175735 7129282620 7842210882 10456281176 13070351470 14258565240 15684421764 19605527205 26140702940 31368843528 39211054410 52281405880 78422108820 152447826691 156844217640 304895653382 457343480073 609791306764 762239133455 914686960146 1219582613528 1524478266910 1676926093601 1829373920292 2286717400365 3048956533820 3353852187202 3658747840584 4573434800730 5030778280803 6097913067640 6707704374404 8384630468005 9146869601460 10061556561606 13415408748808 16769260936010 18293739202920 20123113123212 25153891404015 33538521872020 40246226246424 50307782808030 67077043744040 100615565616060 201231131232120