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9901307 = 133179311
BaseRepresentation
bin100101110001…
…010011111011
3200122001001002
4211301103323
510013320212
6552115215
7150105533
oct45612373
920561032
109901307
115652aa9
123395b0b
132088980
14145a4c3
15d08ac2
hex9714fb

9901307 has 16 divisors (see below), whose sum is σ = 11182080. Its totient is φ = 8704800.

The previous prime is 9901303. The next prime is 9901313. The reversal of 9901307 is 7031099.

It is not a de Polignac number, because 9901307 - 22 = 9901303 is a prime.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 9901307.

It is not an unprimeable number, because it can be changed into a prime (9901303) 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, 31682 + ... + 31992.

It is an arithmetic number, because the mean of its divisors is an integer number (698880).

Almost surely, 29901307 is an apocalyptic number.

9901307 is a deficient number, since it is larger than the sum of its proper divisors (1280773).

9901307 is a wasteful number, since it uses less digits than its factorization.

9901307 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434.

The product of its (nonzero) digits is 1701, while the sum is 29.

The square root of 9901307 is about 3146.6342335899. The cubic root of 9901307 is about 214.7323657404.

The spelling of 9901307 in words is "nine million, nine hundred one thousand, three hundred seven".

Divisors: 1 13 31 79 311 403 1027 2449 4043 9641 24569 31837 125333 319397 761639 9901307