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20904731100 = 22365211131199
BaseRepresentation
bin10011011110000001…
…001110000111011100
31222221212221101000000
4103132001032013130
5320303102343400
613334204534300
71340016165621
oct233601160734
958855841000
1020904731100
1189581a2980
124074b51390
131c81c69896
141024514348
158253ce600
hex4de04e1dc

20904731100 has 504 divisors, whose sum is σ = 75138940800. Its totient is φ = 5003856000.

The previous prime is 20904731093. The next prime is 20904731123. The reversal of 20904731100 is 113740902.

20904731100 is a `hidden beast` number, since 2 + 0 + 90 + 473 + 1 + 100 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 167 ways as a sum of consecutive naturals, for example, 105048801 + ... + 105048999.

It is an arithmetic number, because the mean of its divisors is an integer number (149085200).

Almost surely, 220904731100 is an apocalyptic number.

20904731100 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 20904731100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37569470400).

20904731100 is an abundant number, since it is smaller than the sum of its proper divisors (54234209700).

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

20904731100 is a wasteful number, since it uses less digits than its factorization.

20904731100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The spelling of 20904731100 in words is "twenty billion, nine hundred four million, seven hundred thirty-one thousand, one hundred".