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20023132320 = 2532543323371
BaseRepresentation
bin10010101001011110…
…001100000010100000
31220200110001111211100
4102221132030002200
5312001410213240
613110513114400
71306122550032
oct225136140240
956613044740
1020023132320
118545599744
123a69858a00
131b714169b9
14d7d3c7c52
157c2cd9e30
hex4a978c0a0

20023132320 has 144 divisors (see below), whose sum is σ = 69918200352. Its totient is φ = 5215311360.

The previous prime is 20023132303. The next prime is 20023132369. The reversal of 20023132320 is 2323132002.

It is a happy number.

20023132320 is a `hidden beast` number, since 200 + 231 + 3 + 232 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 20023132293 and 20023132302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99766 + ... + 223605.

It is an arithmetic number, because the mean of its divisors is an integer number (485543058).

Almost surely, 220023132320 is an apocalyptic number.

20023132320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20023132320 is an abundant number, since it is smaller than the sum of its proper divisors (49895068032).

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

20023132320 is a wasteful number, since it uses less digits than its factorization.

20023132320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323435 (or 323424 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 20023132320 its reverse (2323132002), we get a palindrome (22346264322).

The spelling of 20023132320 in words is "twenty billion, twenty-three million, one hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 43 45 48 60 72 80 86 90 96 120 129 144 160 172 180 215 240 258 288 344 360 387 430 480 516 645 688 720 774 860 1032 1290 1376 1440 1548 1720 1935 2064 2580 3096 3440 3870 4128 5160 6192 6880 7740 10320 12384 15480 20640 30960 61920 323371 646742 970113 1293484 1616855 1940226 2586968 2910339 3233710 3880452 4850565 5173936 5820678 6467420 7760904 9701130 10347872 11641356 12934840 13904953 14551695 15521808 19402260 23282712 25869680 27809906 29103390 31043616 38804520 41714859 46565424 51739360 55619812 58206780 69524765 77609040 83429718 93130848 111239624 116413560 125144577 139049530 155218080 166859436 208574295 222479248 232827120 250289154 278099060 333718872 417148590 444958496 465654240 500578308 556198120 625722885 667437744 834297180 1001156616 1112396240 1251445770 1334875488 1668594360 2002313232 2224792480 2502891540 3337188720 4004626464 5005783080 6674377440 10011566160 20023132320