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21321410000 = 245411267263
BaseRepresentation
bin10011110110110110…
…101110010111010000
32001000220222211222212
4103312312232113100
5322131240110000
613443411451252
71353235665122
oct236666562720
961026884885
1021321410000
11905141aa00
1241705b6b28
13201a39aa47
1410639bb212
1584bc89c35
hex4f6dae5d0

21321410000 has 300 divisors, whose sum is σ = 57806570976. Its totient is φ = 7608480000.

The previous prime is 21321409997. The next prime is 21321410129. The reversal of 21321410000 is 1412312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 81069869 + ... + 81070131.

Almost surely, 221321410000 is an apocalyptic number.

21321410000 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 21321410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28903285488).

21321410000 is an abundant number, since it is smaller than the sum of its proper divisors (36485160976).

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

21321410000 is a wasteful number, since it uses less digits than its factorization.

21321410000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 21321410000 its reverse (1412312), we get a palindrome (21322822312).

The spelling of 21321410000 in words is "twenty-one billion, three hundred twenty-one million, four hundred ten thousand".