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20351213100 = 223252193117163
BaseRepresentation
bin10010111101000001…
…101101111000101100
31221112022101202001100
4102331001231320230
5313134402304400
613203233043100
71320215312541
oct227501557054
957468352040
1020351213100
1186a3802689
123b3b6b6490
131bc439703a
14db0bcabc8
157e19e4100
hex4bd06de2c

20351213100 has 108 divisors (see below), whose sum is σ = 64120810936. Its totient is φ = 5398824960.

The previous prime is 20351213087. The next prime is 20351213107. The reversal of 20351213100 is 131215302.

20351213100 is a `hidden beast` number, since 2 + 0 + 351 + 2 + 1 + 310 + 0 = 666.

It is a super-2 number, since 2×203512131002 (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (20351213107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 115119 + ... + 232281.

Almost surely, 220351213100 is an apocalyptic number.

20351213100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20351213100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32060405468).

20351213100 is an abundant number, since it is smaller than the sum of its proper divisors (43769597836).

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

20351213100 is a wasteful number, since it uses less digits than its factorization.

20351213100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117376 (or 117366 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 20351213100 its reverse (131215302), we get a palindrome (20482428402).

It can be divided in two parts, 203512 and 13100, that added together give a palindrome (216612).

The spelling of 20351213100 in words is "twenty billion, three hundred fifty-one million, two hundred thirteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 193 225 300 386 450 579 772 900 965 1158 1737 1930 2316 2895 3474 3860 4825 5790 6948 8685 9650 11580 14475 17370 19300 28950 34740 43425 57900 86850 117163 173700 234326 351489 468652 585815 702978 1054467 1171630 1405956 1757445 2108934 2343260 2929075 3514890 4217868 5272335 5858150 7029780 8787225 10544670 11716300 17574450 21089340 22612459 26361675 35148900 45224918 52723350 67837377 90449836 105446700 113062295 135674754 203512131 226124590 271349508 339186885 407024262 452249180 565311475 678373770 814048524 1017560655 1130622950 1356747540 1695934425 2035121310 2261245900 3391868850 4070242620 5087803275 6783737700 10175606550 20351213100