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10412010024 = 23313234143823
BaseRepresentation
bin10011011001001101…
…01010101000101000
3222212122000220121220
421230212222220220
5132310433310044
64441101302040
7516006424233
oct115446525050
928778026556
1010412010024
114463343269
122026b64920
13c9c1754a0
1470ab7241a
1540e145019
hex26c9aaa28

10412010024 has 256 divisors, whose sum is σ = 30698680320. Its totient is φ = 2916587520.

The previous prime is 10412010019. The next prime is 10412010031. The reversal of 10412010024 is 42001021401.

It is a junction number, because it is equal to n+sod(n) for n = 10412009985 and 10412010012.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12650877 + ... + 12651699.

It is an arithmetic number, because the mean of its divisors is an integer number (119916720).

Almost surely, 210412010024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10412010024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15349340160).

10412010024 is an abundant number, since it is smaller than the sum of its proper divisors (20286670296).

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

10412010024 is a wasteful number, since it uses less digits than its factorization.

10412010024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10412010024 its reverse (42001021401), we get a palindrome (52413031425).

The spelling of 10412010024 in words is "ten billion, four hundred twelve million, ten thousand, twenty-four".