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21310432224 = 25319163229313
BaseRepresentation
bin10011110110001100…
…110110001111100000
32001000011100010022120
4103312030312033200
5322120432312344
613442340304240
71353043454004
oct236614661740
961004303276
1021310432224
119046202164
1241689a2080
132018026113
141062360704
1584ad1c219
hex4f63363e0

21310432224 has 192 divisors, whose sum is σ = 59694163200. Its totient is φ = 6637842432.

The previous prime is 21310432211. The next prime is 21310432237. The reversal of 21310432224 is 42223401312.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21310432211) and next prime (21310432237).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 21310432194 and 21310432203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68084292 + ... + 68084604.

It is an arithmetic number, because the mean of its divisors is an integer number (310907100).

Almost surely, 221310432224 is an apocalyptic number.

21310432224 is a gapful number since it is divisible by the number (24) 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 21310432224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29847081600).

21310432224 is an abundant number, since it is smaller than the sum of its proper divisors (38383730976).

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

21310432224 is a wasteful number, since it uses less digits than its factorization.

21310432224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 21310432224 its reverse (42223401312), we get a palindrome (63533833536).

It can be divided in two parts, 21310432 and 224, that added together give a triangular number (21310656 = T6528).

The spelling of 21310432224 in words is "twenty-one billion, three hundred ten million, four hundred thirty-two thousand, two hundred twenty-four".