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20332112100 = 2235267773707
BaseRepresentation
bin10010111011111000…
…110110100011100100
31221110222110022101220
4102323320312203210
5313120010041400
613201311420340
71316564046516
oct227370664344
957428408356
1020332112100
118693a46833
123b352246b0
131bc0439b81
14dac457bb6
157deebe7a0
hex4bbe368e4

20332112100 has 36 divisors (see below), whose sum is σ = 58827578544. Its totient is φ = 5421896480.

The previous prime is 20332112089. The next prime is 20332112111. The reversal of 20332112100 is 121123302.

It is an interprime number because it is at equal distance from previous prime (20332112089) and next prime (20332112111).

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 20332112100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33886554 + ... + 33887153.

It is an arithmetic number, because the mean of its divisors is an integer number (1634099404).

Almost surely, 220332112100 is an apocalyptic number.

20332112100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20332112100 is an abundant number, since it is smaller than the sum of its proper divisors (38495466444).

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

20332112100 is a wasteful number, since it uses less digits than its factorization.

20332112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67773724 (or 67773717 counting only the distinct ones).

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

Adding to 20332112100 its reverse (121123302), we get a palindrome (20453235402).

The spelling of 20332112100 in words is "twenty billion, three hundred thirty-two million, one hundred twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 67773707 135547414 203321121 271094828 338868535 406642242 677737070 813284484 1016605605 1355474140 1694342675 2033211210 3388685350 4066422420 5083028025 6777370700 10166056050 20332112100