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20311323012120 = 23357179135084617
BaseRepresentation
bin1001001111001000110010…
…01100010110110000011000
32122220202002000122010222010
410213210121030112300120
510130240042142341440
6111110520514425520
74164305342662350
oct447443114266030
978822060563863
1020311323012120
116520a90363998
122340578b922a0
13b44470c341ca
14503105113b60
1525352663b580
hex127919316c18

20311323012120 has 128 divisors (see below), whose sum is σ = 70027865971200. Its totient is φ = 4616651836416.

The previous prime is 20311323012073. The next prime is 20311323012137. The reversal of 20311323012120 is 2121032311302.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67391949 + ... + 67692668.

It is an arithmetic number, because the mean of its divisors is an integer number (547092702900).

Almost surely, 220311323012120 is an apocalyptic number.

20311323012120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20311323012120 is an abundant number, since it is smaller than the sum of its proper divisors (49716542959080).

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

20311323012120 is a wasteful number, since it uses less digits than its factorization.

20311323012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135084817 (or 135084813 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 20311323012120 its reverse (2121032311302), we get a palindrome (22432355323422).

The spelling of 20311323012120 in words is "twenty trillion, three hundred eleven billion, three hundred twenty-three million, twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 179 210 280 358 420 537 716 840 895 1074 1253 1432 1790 2148 2506 2685 3580 3759 4296 5012 5370 6265 7160 7518 10024 10740 12530 15036 18795 21480 25060 30072 37590 50120 75180 150360 135084617 270169234 405253851 540338468 675423085 810507702 945592319 1080676936 1350846170 1621015404 1891184638 2026269255 2701692340 2836776957 3242030808 3782369276 4052538510 4727961595 5403384680 5673553914 7564738552 8105077020 9455923190 11347107828 14183884785 16210154040 18911846380 22694215656 24180146443 28367769570 37823692760 48360292886 56735539140 72540439329 96720585772 113471078280 120900732215 145080878658 169261025101 193441171544 241801464430 290161757316 338522050202 362702196645 483602928860 507783075303 580323514632 677044100404 725404393290 846305125505 967205857720 1015566150606 1354088200808 1450808786580 1692610251010 2031132301212 2538915376515 2901617573160 3385220502020 4062264602424 5077830753030 6770441004040 10155661506060 20311323012120