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20321101301220 = 22325132498521021
BaseRepresentation
bin1001001111011011000000…
…00001100100010111100100
32122221200022111012200220200
410213231200001210113210
510130420103413114340
6111115215101230500
74165102556034006
oct447554001442744
978850274180820
1020321101301220
116525148a07255
122342447862430
13b4536ba052a5
14503791a42376
152538e9d02330
hex127b600645e4

20321101301220 has 72 divisors (see below), whose sum is σ = 61645333659000. Its totient is φ = 5418550702080.

The previous prime is 20321101301143. The next prime is 20321101301311. The reversal of 20321101301220 is 2210310112302.

20321101301220 is a `hidden beast` number, since 2 + 0 + 32 + 110 + 1 + 301 + 220 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3809897994816 + 16511203306404 = 1951896^2 + 4063398^2 .

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 = 20321101301193 and 20321101301202.

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 23 ways as a sum of consecutive naturals, for example, 1875691 + ... + 6645330.

Almost surely, 220321101301220 is an apocalyptic number.

20321101301220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20321101301220 is an abundant number, since it is smaller than the sum of its proper divisors (41324232357780).

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

20321101301220 is a wasteful number, since it uses less digits than its factorization.

20321101301220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8534285 (or 8534280 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 20321101301220 its reverse (2210310112302), we get a palindrome (22531411413522).

The spelling of 20321101301220 in words is "twenty trillion, three hundred twenty-one billion, one hundred one million, three hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 13249 26498 39747 52996 66245 79494 119241 132490 158988 198735 238482 264980 397470 476964 596205 794940 1192410 2384820 8521021 17042042 25563063 34084084 42605105 51126126 76689189 85210210 102252252 127815315 153378378 170420420 255630630 306756756 383445945 511261260 766891890 1533783780 112895007229 225790014458 338685021687 451580028916 564475036145 677370043374 1016055065061 1128950072290 1354740086748 1693425108435 2032110130122 2257900144580 3386850216870 4064220260244 5080275325305 6773700433740 10160550650610 20321101301220