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9910000901 = 294773137727
BaseRepresentation
bin10010011101010111…
…01001110100000101
3221120122102012120102
421032223221310011
5130243430012101
64315205413445
7500402421623
oct111653516405
927518365512
109910000901
114225a34399
121b06a0a285
13c1c168a78
146a0216513
153d003186b
hex24eae9d05

9910000901 has 32 divisors (see below), whose sum is σ = 10705443840. Its totient is φ = 9156381696.

The previous prime is 9910000889. The next prime is 9910000913. The reversal of 9910000901 is 1090000199.

9910000901 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (9910000889) and next prime (9910000913).

It is a cyclic number.

It is not a de Polignac number, because 9910000901 - 210 = 9909999877 is a prime.

It is a super-3 number, since 3×99100009013 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9910000301) 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 31 ways as a sum of consecutive naturals, for example, 13631000 + ... + 13631726.

It is an arithmetic number, because the mean of its divisors is an integer number (334545120).

Almost surely, 29910000901 is an apocalyptic number.

It is an amenable number.

9910000901 is a deficient number, since it is larger than the sum of its proper divisors (795442939).

9910000901 is a wasteful number, since it uses less digits than its factorization.

9910000901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013.

The product of its (nonzero) digits is 729, while the sum is 29.

The square root of 9910000901 is about 99548.9874433688. The cubic root of 9910000901 is about 2147.9519636105.

The spelling of 9910000901 in words is "nine billion, nine hundred ten million, nine hundred one", and thus it is an aban number.

Divisors: 1 29 47 73 137 727 1363 2117 3431 3973 6439 10001 21083 34169 53071 99499 99599 186731 290029 470047 990901 1539059 2494337 2888371 4681153 7270727 13631363 72335773 135753437 210851083 341724169 9910000901