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130320322020 = 223257103428827
BaseRepresentation
bin111100101011110110…
…0100100110111100100
3110110101020200021211100
41321113230210313210
54113344000301040
6135511320440100
712262313313540
oct1712754446744
9413336607740
10130320322020
11502a5473879
1221310019030
13c39b3694a5
146443c4ca20
1535cb038b30
hex1e57b24de4

130320322020 has 72 divisors (see below), whose sum is σ = 451777120704. Its totient is φ = 29787501888.

The previous prime is 130320321983. The next prime is 130320322021. The reversal of 130320322020 is 20223023031.

It is a happy number.

130320322020 is a `hidden beast` number, since 1 + 3 + 0 + 320 + 322 + 0 + 20 = 666.

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 = 130320321984 and 130320322002.

It is not an unprimeable number, because it can be changed into a prime (130320322021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51713154 + ... + 51715673.

It is an arithmetic number, because the mean of its divisors is an integer number (6274682232).

Almost surely, 2130320322020 is an apocalyptic number.

130320322020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130320322020 is an abundant number, since it is smaller than the sum of its proper divisors (321456798684).

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

130320322020 is a wasteful number, since it uses less digits than its factorization.

130320322020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103428849 (or 103428844 counting only the distinct ones).

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

Adding to 130320322020 its reverse (20223023031), we get a palindrome (150543345051).

The spelling of 130320322020 in words is "one hundred thirty billion, three hundred twenty million, three hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 103428827 206857654 310286481 413715308 517144135 620572962 724001789 930859443 1034288270 1241145924 1448003578 1551432405 1861718886 2068576540 2172005367 2896007156 3102864810 3620008945 3723437772 4344010734 4654297215 6205729620 6516016101 7240017890 8688021468 9308594430 10860026835 13032032202 14480035780 18617188860 21720053670 26064064404 32580080505 43440107340 65160161010 130320322020