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21313020000 = 253541013517
BaseRepresentation
bin10011110110010110…
…101110000001100000
32001000100012121002010
4103312112232001200
5322122113120000
613442511552520
71353104452356
oct236626560140
961010177063
1021313020000
11904770a418
12416982b740
132018720c4c
1410628357d6
1584b17dd50
hex4f65ae060

21313020000 has 240 divisors, whose sum is σ = 70623230832. Its totient is φ = 5625600000.

The previous prime is 21313019999. The next prime is 21313020007. The reversal of 21313020000 is 2031312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21313020007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6058242 + ... + 6061758.

Almost surely, 221313020000 is an apocalyptic number.

21313020000 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 21313020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35311615416).

21313020000 is an abundant number, since it is smaller than the sum of its proper divisors (49310210832).

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

21313020000 is a wasteful number, since it uses less digits than its factorization.

21313020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3651 (or 3628 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 21313020000 its reverse (2031312), we get a palindrome (21315051312).

The spelling of 21313020000 in words is "twenty-one billion, three hundred thirteen million, twenty thousand".