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10212309360 = 243351117131193
BaseRepresentation
bin10011000001011001…
…10111100101110000
3222100201021001211000
421200230313211300
5131403322344420
64405205122000
7511033124451
oct114054674560
928321231730
1010212309360
1143706451a0
121b900b9300
13c69994506
146cc42b128
153eb849690
hex260b37970

10212309360 has 640 divisors, whose sum is σ = 41153080320. Its totient is φ = 2300313600.

The previous prime is 10212309329. The next prime is 10212309389. The reversal of 10212309360 is 6390321201.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 52913424 + ... + 52913616.

It is an arithmetic number, because the mean of its divisors is an integer number (64301688).

Almost surely, 210212309360 is an apocalyptic number.

10212309360 is a gapful number since it is divisible by the number (10) 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 10212309360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20576540160).

10212309360 is an abundant number, since it is smaller than the sum of its proper divisors (30940770960).

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

10212309360 is a wasteful number, since it uses less digits than its factorization.

10212309360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 10212309360 in words is "ten billion, two hundred twelve million, three hundred nine thousand, three hundred sixty".