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20320202120 = 23543531012207
BaseRepresentation
bin10010111011001011…
…011010110110001000
31221110011001012222112
4102323023122312020
5313103432431440
613200204241452
71316360603531
oct227313326610
957404035875
1020320202120
118688251679
123b31240288
131bbab29b4a
14daaa37688
157dde1a965
hex4bb2dad88

20320202120 has 128 divisors (see below), whose sum is σ = 48160189440. Its totient is φ = 7708646400.

The previous prime is 20320202101. The next prime is 20320202129. The reversal of 20320202120 is 2120202302.

It is a super-2 number, since 2×203202021202 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20320202095 and 20320202104.

It is not an unprimeable number, because it can be changed into a prime (20320202129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9206057 + ... + 9208263.

It is an arithmetic number, because the mean of its divisors is an integer number (376251480).

Almost surely, 220320202120 is an apocalyptic number.

20320202120 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 20320202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24080094720).

20320202120 is an abundant number, since it is smaller than the sum of its proper divisors (27839987320).

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

20320202120 is a wasteful number, since it uses less digits than its factorization.

20320202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2415 (or 2411 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 20320202120 its reverse (2120202302), we get a palindrome (22440404422).

The spelling of 20320202120 in words is "twenty billion, three hundred twenty million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 43 53 86 101 106 172 202 212 215 265 344 404 424 430 505 530 808 860 1010 1060 1720 2020 2120 2207 2279 4040 4343 4414 4558 5353 8686 8828 9116 10706 11035 11395 17372 17656 18232 21412 21715 22070 22790 26765 34744 42824 43430 44140 45580 53530 86860 88280 91160 94901 107060 116971 173720 189802 214120 222907 230179 233942 379604 445814 460358 467884 474505 584855 759208 891628 920716 935768 949010 1114535 1150895 1169710 1783256 1841432 1898020 2229070 2301790 2339420 3796040 4458140 4603580 4678840 5029753 8916280 9207160 9585001 10059506 11814071 19170002 20119012 23628142 25148765 38340004 40238024 47256284 47925005 50297530 59070355 76680008 94512568 95850010 100595060 118140710 191700020 201190120 236281420 383400040 472562840 508005053 1016010106 2032020212 2540025265 4064040424 5080050530 10160101060 20320202120