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20023132001220 = 22325257432838997
BaseRepresentation
bin1001000110101111111111…
…01010111001001111000100
32121220012012111101220212200
410203113333222321033010
510111024333243014340
6110330255545114500
74134423606545445
oct443277752711704
977805174356780
1020023132001220
11641a843015a17
1222b474a488a30
13b2323380c51a
144d31a64ab2cc
1524acaaa6c330
hex1235ffab93c4

20023132001220 has 72 divisors (see below), whose sum is σ = 60973163970264. Its totient is φ = 5318725582848.

The previous prime is 20023132001149. The next prime is 20023132001233. The reversal of 20023132001220 is 2210023132002.

20023132001220 is a `hidden beast` number, since 200 + 23 + 1 + 320 + 0 + 122 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9708359198976 + 10314772802244 = 3115824^2 + 3211662^2 .

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 = 20023132001193 and 20023132001202.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 216373239 + ... + 216465758.

It is an arithmetic number, because the mean of its divisors is an integer number (846849499587).

Almost surely, 220023132001220 is an apocalyptic number.

20023132001220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20023132001220 is an abundant number, since it is smaller than the sum of its proper divisors (40950031969044).

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

20023132001220 is a wasteful number, since it uses less digits than its factorization.

20023132001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432839269 (or 432839264 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 20023132001220 its reverse (2210023132002), we get a palindrome (22233155133222).

The spelling of 20023132001220 in words is "twenty trillion, twenty-three billion, one hundred thirty-two million, one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 257 514 771 1028 1285 1542 2313 2570 3084 3855 4626 5140 7710 9252 11565 15420 23130 46260 432838997 865677994 1298516991 1731355988 2164194985 2597033982 3895550973 4328389970 5194067964 6492584955 7791101946 8656779940 12985169910 15582203892 19477754865 25970339820 38955509730 77911019460 111239622229 222479244458 333718866687 444958488916 556198111145 667437733374 1001156600061 1112396222290 1334875466748 1668594333435 2002313200122 2224792444580 3337188666870 4004626400244 5005783000305 6674377333740 10011566000610 20023132001220