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10010014641 = 331133703753
BaseRepresentation
bin10010101001010010…
…01011001110110001
3221211121121102122000
421110221023032301
5131000030432031
64333141204213
7503025502104
oct112451131661
927747542560
1010010014641
114277435180
121b34400669
13c36ab58b3
146ad60c73b
153d8bda3e6
hex254a4b3b1

10010014641 has 16 divisors (see below), whose sum is σ = 16177801920. Its totient is φ = 6066675360.

The previous prime is 10010014631. The next prime is 10010014691. The reversal of 10010014641 is 14641001001.

10010014641 is a `hidden beast` number, since 1 + 0 + 0 + 10 + 0 + 14 + 641 = 666.

It is not a de Polignac number, because 10010014641 - 233 = 1420080049 is a prime.

It is a super-2 number, since 2×100100146412 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10010014631) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16851580 + ... + 16852173.

It is an arithmetic number, because the mean of its divisors is an integer number (1011112620).

Almost surely, 210010014641 is an apocalyptic number.

10010014641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10010014641 is a deficient number, since it is larger than the sum of its proper divisors (6167787279).

10010014641 is a wasteful number, since it uses less digits than its factorization.

10010014641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33703773 (or 33703767 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10010014641 its reverse (14641001001), we get a palindrome (24651015642).

The spelling of 10010014641 in words is "ten billion, ten million, fourteen thousand, six hundred forty-one".

Divisors: 1 3 9 11 27 33 99 297 33703753 101111259 303333777 370741283 910001331 1112223849 3336671547 10010014641