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20905119900 = 2235527297181
BaseRepresentation
bin10011011110000010…
…101101000010011100
31222221220200010100000
4103132002231002130
5320303202314100
613334221134300
71340022405300
oct233602550234
958856603300
1020905119900
118958438aa5
1240750ba390
131c82074842
1410245b5d00
15825459900
hex4de0ad09c

20905119900 has 648 divisors, whose sum is σ = 80303308176. Its totient is φ = 4702924800.

The previous prime is 20905119883. The next prime is 20905119913. The reversal of 20905119900 is 991150902.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 115497810 + ... + 115497990.

Almost surely, 220905119900 is an apocalyptic number.

20905119900 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 20905119900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40151654088).

20905119900 is an abundant number, since it is smaller than the sum of its proper divisors (59398188276).

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

20905119900 is a wasteful number, since it uses less digits than its factorization.

20905119900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 36.

The spelling of 20905119900 in words is "twenty billion, nine hundred five million, one hundred nineteen thousand, nine hundred".