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21370003200 = 283552713151
BaseRepresentation
bin10011111001110000…
…000101111100000000
32001011022102122100000
4103321300011330000
5322231210100300
613452305200000
71354366013220
oct237160057400
961138378300
1021370003200
11907689a777
124184930000
132027482a10
14106a22a080
15851187c00
hex4f9c05f00

21370003200 has 1296 divisors, whose sum is σ = 98162494976. Its totient is φ = 4478976000.

The previous prime is 21370003163. The next prime is 21370003201. The reversal of 21370003200 is 230007312.

It is a tau number, because it is divible by the number of its divisors (1296).

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 (21370003201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 141523125 + ... + 141523275.

Almost surely, 221370003200 is an apocalyptic number.

21370003200 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 21370003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49081247488).

21370003200 is an abundant number, since it is smaller than the sum of its proper divisors (76792491776).

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

21370003200 is a wasteful number, since it uses less digits than its factorization.

21370003200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The spelling of 21370003200 in words is "twenty-one billion, three hundred seventy million, three thousand, two hundred".