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20321320120 = 2354315775253
BaseRepresentation
bin10010111011001111…
…101011110010111000
31221110020011000120221
4102323033223302320
5313104224220440
613200244225424
71316403241153
oct227317536270
957406130527
1020321320120
118688945642
123b3169b274
131bbb12b99a
14daac48c9a
157de08bd4a
hex4bb3ebcb8

20321320120 has 64 divisors (see below), whose sum is σ = 47084922720. Its totient is φ = 7888817664.

The previous prime is 20321320099. The next prime is 20321320127. The reversal of 20321320120 is 2102312302.

It is a junction number, because it is equal to n+sod(n) for n = 20321320094 and 20321320103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20321320127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 232414 + ... + 307666.

Almost surely, 220321320120 is an apocalyptic number.

20321320120 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 20321320120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23542461360).

20321320120 is an abundant number, since it is smaller than the sum of its proper divisors (26763602600).

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

20321320120 is a wasteful number, since it uses less digits than its factorization.

20321320120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75464 (or 75460 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 20321320120 its reverse (2102312302), we get a palindrome (22423632422).

The spelling of 20321320120 in words is "twenty billion, three hundred twenty-one million, three hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 43 86 157 172 215 314 344 430 628 785 860 1256 1570 1720 3140 6280 6751 13502 27004 33755 54008 67510 75253 135020 150506 270040 301012 376265 602024 752530 1505060 3010120 3235879 6471758 11814721 12943516 16179395 23629442 25887032 32358790 47258884 59073605 64717580 94517768 118147210 129435160 236294420 472588840 508033003 1016066006 2032132012 2540165015 4064264024 5080330030 10160660060 20321320120