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10123043040 = 2534511174177
BaseRepresentation
bin10010110110110000…
…10110000011100000
3222010111021212110000
421123120112003200
5131212444334130
64352255540000
7505600306005
oct113330260340
928114255400
1010123043040
114325215080
121b6622a600
13c5433b4c6
146c06318ac
153e3ab5260
hex25b6160e0

10123043040 has 480 divisors, whose sum is σ = 41276166624. Its totient is φ = 2309160960.

The previous prime is 10123043033. The next prime is 10123043081. The reversal of 10123043040 is 4034032101.

10123043040 is a `hidden beast` number, since 1 + 0 + 1 + 230 + 430 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2421432 + ... + 2425608.

Almost surely, 210123043040 is an apocalyptic number.

10123043040 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 10123043040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20638083312).

10123043040 is an abundant number, since it is smaller than the sum of its proper divisors (31153123584).

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

10123043040 is a wasteful number, since it uses less digits than its factorization.

10123043040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4232 (or 4215 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10123043040 its reverse (4034032101), we get a palindrome (14157075141).

The spelling of 10123043040 in words is "ten billion, one hundred twenty-three million, forty-three thousand, forty".