Search a number
-
+
21107382300 = 22335231421599
BaseRepresentation
bin10011101010000110…
…010001100000011100
32000111000021010012000
4103222012101200130
5321211442213200
613410244242300
71345026534504
oct235206214034
960430233160
1021107382300
118a51626804
1241109a0390
131cb4c41834
1410433c6a04
158380ae300
hex4ea19181c

21107382300 has 288 divisors, whose sum is σ = 70328832000. Its totient is φ = 5425056000.

The previous prime is 21107382287. The next prime is 21107382343. The reversal of 21107382300 is 328370112.

21107382300 is a `hidden beast` number, since 211 + 0 + 73 + 82 + 300 = 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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35237401 + ... + 35237999.

Almost surely, 221107382300 is an apocalyptic number.

21107382300 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 21107382300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35164416000).

21107382300 is an abundant number, since it is smaller than the sum of its proper divisors (49221449700).

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

21107382300 is a wasteful number, since it uses less digits than its factorization.

21107382300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 21107382300 in words is "twenty-one billion, one hundred seven million, three hundred eighty-two thousand, three hundred".