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21323863120 = 2457253197521
BaseRepresentation
bin10011110111000000…
…000101010001010000
32001001002121111001011
4103313000011101100
5322132402104440
613443540220304
71353265563100
oct236700052120
961032544034
1021323863120
119052845a7a
12417139a694
13201aa494b1
141064059200
1584c0c19ea
hex4f7005450

21323863120 has 240 divisors, whose sum is σ = 59172136848. Its totient is φ = 7122984960.

The previous prime is 21323863117. The next prime is 21323863123. The reversal of 21323863120 is 2136832312.

It is an interprime number because it is at equal distance from previous prime (21323863117) and next prime (21323863123).

It can be written as a sum of positive squares in 8 ways, for example, as 1353651264 + 19970211856 = 36792^2 + 141316^2 .

It is a super-2 number, since 2×213238631202 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21323863123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40928460 + ... + 40928980.

Almost surely, 221323863120 is an apocalyptic number.

21323863120 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 21323863120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29586068424).

21323863120 is an abundant number, since it is smaller than the sum of its proper divisors (37848273728).

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

21323863120 is a wasteful number, since it uses less digits than its factorization.

21323863120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The spelling of 21323863120 in words is "twenty-one billion, three hundred twenty-three million, eight hundred sixty-three thousand, one hundred twenty".