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109248953 = 11175373151
BaseRepresentation
bin1101000001100…
…00000110111001
321121120102101112
412200300012321
5210431431303
614501330105
72464413032
oct640600671
9247512345
10109248953
11567393a0
1230706935
1319831568
141071ba89
1598d00d8
hex68301b9

109248953 has 32 divisors (see below), whose sum is σ = 131196672. Its totient is φ = 89856000.

The previous prime is 109248949. The next prime is 109248959. The reversal of 109248953 is 359842901.

It is a cyclic number.

It is not a de Polignac number, because 109248953 - 22 = 109248949 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 109248953.

It is not an unprimeable number, because it can be changed into a prime (109248959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 723428 + ... + 723578.

It is an arithmetic number, because the mean of its divisors is an integer number (4099896).

Almost surely, 2109248953 is an apocalyptic number.

It is an amenable number.

109248953 is a deficient number, since it is larger than the sum of its proper divisors (21947719).

109248953 is a wasteful number, since it uses less digits than its factorization.

109248953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305.

The product of its (nonzero) digits is 77760, while the sum is 41.

The square root of 109248953 is about 10452.2223952612. Note that the first 3 decimals coincide. The cubic root of 109248953 is about 478.0490151823.

The spelling of 109248953 in words is "one hundred nine million, two hundred forty-eight thousand, nine hundred fifty-three".

Divisors: 1 11 17 53 73 151 187 583 803 901 1241 1661 2567 3869 8003 9911 11023 13651 28237 42559 65773 88033 121253 136051 187391 584219 723503 1496561 2061301 6426409 9931723 109248953