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21113971200 = 293252726183
BaseRepresentation
bin10011101010011111…
…011010001000000000
32000111110122212110100
4103222133122020000
5321220134034300
613411041402400
71345136536230
oct235237321000
960443585410
1021113971200
118a55317083
124113039400
131cb640a8aa
14104421dcc0
15838961700
hex4ea7da200

21113971200 has 360 divisors, whose sum is σ = 86358811968. Its totient is φ = 4825866240.

The previous prime is 21113971171. The next prime is 21113971213. The reversal of 21113971200 is 217931112.

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 793309 + ... + 819491.

Almost surely, 221113971200 is an apocalyptic number.

21113971200 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 21113971200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43179405984).

21113971200 is an abundant number, since it is smaller than the sum of its proper divisors (65244840768).

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

21113971200 is a wasteful number, since it uses less digits than its factorization.

21113971200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26224 (or 26200 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The spelling of 21113971200 in words is "twenty-one billion, one hundred thirteen million, nine hundred seventy-one thousand, two hundred".