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901000107 = 327109713037
BaseRepresentation
bin110101101101000…
…010101110101011
32022210101112210100
4311231002232223
53321124000412
6225223320443
731220242320
oct6555025653
92283345710
10901000107
11422655797
122118b0123
13114886977
148793ab47
1554177edc
hex35b42bab

901000107 has 24 divisors (see below), whose sum is σ = 1488835296. Its totient is φ = 514348416.

The previous prime is 901000099. The next prime is 901000123. The reversal of 901000107 is 701000109.

It is not a de Polignac number, because 901000107 - 23 = 901000099 is a prime.

It is a super-2 number, since 2×9010001072 = 1623602385628022898, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 901000107.

It is not an unprimeable number, because it can be changed into a prime (901000157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62593 + ... + 75629.

It is an arithmetic number, because the mean of its divisors is an integer number (62034804).

Almost surely, 2901000107 is an apocalyptic number.

901000107 is a deficient number, since it is larger than the sum of its proper divisors (587835189).

901000107 is a wasteful number, since it uses less digits than its factorization.

901000107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14147 (or 14144 counting only the distinct ones).

The product of its (nonzero) digits is 63, while the sum is 18.

The square root of 901000107 is about 30016.6638219506. The cubic root of 901000107 is about 965.8468791417.

The spelling of 901000107 in words is "nine hundred one million, one hundred seven", and thus it is an aban number.

Divisors: 1 3 7 9 21 63 1097 3291 7679 9873 13037 23037 39111 69111 91259 117333 273777 821331 14301589 42904767 100111123 128714301 300333369 901000107