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20323121100 = 22352401168937
BaseRepresentation
bin10010111011010110…
…100011011111001100
31221110100112112001220
4102323112203133030
5313110204333400
613200351003340
71316424451632
oct227326433714
957410475056
1020323121100
118689965757
123b32209550
131bbb60c659
14dab197352
157de2e57a0
hex4bb5a37cc

20323121100 has 72 divisors (see below), whose sum is σ = 58948549968. Its totient is φ = 5405952000.

The previous prime is 20323121041. The next prime is 20323121113. The reversal of 20323121100 is 112132302.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20323121100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35832 + ... + 204768.

Almost surely, 220323121100 is an apocalyptic number.

20323121100 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 20323121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29474274984).

20323121100 is an abundant number, since it is smaller than the sum of its proper divisors (38625428868).

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

20323121100 is a wasteful number, since it uses less digits than its factorization.

20323121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169355 (or 169348 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 20323121100 its reverse (112132302), we get a palindrome (20435253402).

The spelling of 20323121100 in words is "twenty billion, three hundred twenty-three million, one hundred twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 401 802 1203 1604 2005 2406 4010 4812 6015 8020 10025 12030 20050 24060 30075 40100 60150 120300 168937 337874 506811 675748 844685 1013622 1689370 2027244 2534055 3378740 4223425 5068110 8446850 10136220 12670275 16893700 25340550 50681100 67743737 135487474 203231211 270974948 338718685 406462422 677437370 812924844 1016156055 1354874740 1693593425 2032312110 3387186850 4064624220 5080780275 6774373700 10161560550 20323121100