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20331112100 = 22521315639317
BaseRepresentation
bin10010111011110101…
…000010011010100100
31221110220120111122212
4102323311002122210
5313114231041400
613201234142552
71316552413205
oct227365023244
957426514585
1020331112100
118693423492
123b34a21a58
131bc0179960
14dac2775ac
157ded73335
hex4bbd426a4

20331112100 has 36 divisors (see below), whose sum is σ = 47512248084. Its totient is φ = 7506871680.

The previous prime is 20331112093. The next prime is 20331112111. The reversal of 20331112100 is 121113302.

It can be written as a sum of positive squares in 6 ways, for example, as 176199076 + 20154913024 = 13274^2 + 141968^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7818359 + ... + 7820958.

It is an arithmetic number, because the mean of its divisors is an integer number (1319784669).

Almost surely, 220331112100 is an apocalyptic number.

20331112100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20331112100 is an abundant number, since it is smaller than the sum of its proper divisors (27181135984).

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

20331112100 is a wasteful number, since it uses less digits than its factorization.

20331112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15639344 (or 15639337 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 20331112100 its reverse (121113302), we get a palindrome (20452225402).

The spelling of 20331112100 in words is "twenty billion, three hundred thirty-one million, one hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 15639317 31278634 62557268 78196585 156393170 203311121 312786340 390982925 406622242 781965850 813244484 1016555605 1563931700 2033111210 4066222420 5082778025 10165556050 20331112100