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13111023310020 = 22325237940087517
BaseRepresentation
bin1011111011001010010111…
…1000110001010011000100
31201102101211202110001002200
42332302211320301103010
53204302333431410040
643515042043234500
72522145244226106
oct276624570612304
951371752401080
1013111023310020
1141a5398944869
121579007218a30
137414971943bc
143348110a3576
1517b0ab517630
hexbeca5e314c4

13111023310020 has 144 divisors (see below), whose sum is σ = 42024546869760. Its totient is φ = 3301928517888.

The previous prime is 13111023309977. The next prime is 13111023310027. The reversal of 13111023310020 is 2001332011131.

13111023310020 is a `hidden beast` number, since 1 + 311 + 1 + 0 + 2 + 331 + 0 + 0 + 20 = 666.

13111023310020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13111023309975 and 13111023310002.

It is not an unprimeable number, because it can be changed into a prime (13111023310027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19716699 + ... + 20370818.

It is an arithmetic number, because the mean of its divisors is an integer number (291837131040).

Almost surely, 213111023310020 is an apocalyptic number.

13111023310020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13111023310020 is an abundant number, since it is smaller than the sum of its proper divisors (28913523559740).

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

13111023310020 is a wasteful number, since it uses less digits than its factorization.

13111023310020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40087634 (or 40087629 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13111023310020 its reverse (2001332011131), we get a palindrome (15112355321151).

The spelling of 13111023310020 in words is "thirteen trillion, one hundred eleven billion, twenty-three million, three hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 79 90 92 115 138 158 180 207 230 237 276 316 345 395 414 460 474 690 711 790 828 948 1035 1185 1380 1422 1580 1817 2070 2370 2844 3555 3634 4140 4740 5451 7110 7268 9085 10902 14220 16353 18170 21804 27255 32706 36340 54510 65412 81765 109020 163530 327060 40087517 80175034 120262551 160350068 200437585 240525102 360787653 400875170 481050204 601312755 721575306 801750340 922012891 1202625510 1443150612 1803938265 1844025782 2405251020 2766038673 3166913843 3607876530 3688051564 4610064455 5532077346 6333827686 7215753060 8298116019 9220128910 9500741529 11064154692 12667655372 13830193365 15834569215 16596232038 18440257820 19001483058 27660386730 28502224587 31669138430 33192464076 38002966116 41490580095 47503707645 55320773460 57004449174 63338276860 72839018389 82981160190 95007415290 114008898348 142511122935 145678036778 165962320380 190014830580 218517055167 285022245870 291356073556 364195091945 437034110334 570044491740 655551165501 728390183890 874068220668 1092585275835 1311102331002 1456780367780 2185170551670 2622204662004 3277755827505 4370341103340 6555511655010 13111023310020