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21312522000 = 24325371115377
BaseRepresentation
bin10011110110010100…
…110100011100010000
32001000022021021221200
4103312110310130100
5322122001201000
613442453151200
71353100306440
oct236624643420
961008237850
1021312522000
1190473aa250
12416962b500
1320185a8383
141062746120
1584b0d1500
hex4f6534710

21312522000 has 480 divisors, whose sum is σ = 92811273984. Its totient is φ = 4428288000.

The previous prime is 21312521987. The next prime is 21312522001. The reversal of 21312522000 is 22521312.

21312522000 is a `hidden beast` number, since 213 + 1 + 252 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21312522001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1378312 + ... + 1393688.

Almost surely, 221312522000 is an apocalyptic number.

21312522000 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 21312522000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46405636992).

21312522000 is an abundant number, since it is smaller than the sum of its proper divisors (71498751984).

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

21312522000 is a wasteful number, since it uses less digits than its factorization.

21312522000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15424 (or 15405 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The spelling of 21312522000 in words is "twenty-one billion, three hundred twelve million, five hundred twenty-two thousand".