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10112212320 = 2535721912251
BaseRepresentation
bin10010110101011110…
…00001110101100000
3222002201220121111020
421122233001311200
5131202211243240
64351231445440
7505406246400
oct113257016540
928081817436
1010112212320
11431a097871
121b62686880
13c520187b2
146bd012800
153e2b760d0
hex25abc1d60

10112212320 has 288 divisors, whose sum is σ = 37264582656. Its totient is φ = 2298240000.

The previous prime is 10112212301. The next prime is 10112212337. The reversal of 10112212320 is 2321221101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10112212320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4491195 + ... + 4493445.

It is an arithmetic number, because the mean of its divisors is an integer number (129390912).

Almost surely, 210112212320 is an apocalyptic number.

10112212320 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 10112212320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18632291328).

10112212320 is an abundant number, since it is smaller than the sum of its proper divisors (27152370336).

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

10112212320 is a wasteful number, since it uses less digits than its factorization.

10112212320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2474 (or 2459 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10112212320 its reverse (2321221101), we get a palindrome (12433433421).

The spelling of 10112212320 in words is "ten billion, one hundred twelve million, two hundred twelve thousand, three hundred twenty".