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100375053953 = 295521626917
BaseRepresentation
bin101110101111011010…
…0011100011010000001
3100121002022101001112212
41131132310130122001
53121032003211303
6114040041431505
710152246611156
oct1353664343201
9317068331485
10100375053953
1139629112749
121755349b595
139608428565
144c02bb022d
152927121ad8
hex175ed1c681

100375053953 has 8 divisors (see below), whose sum is σ = 103855235880. Its totient is φ = 96896136960.

The previous prime is 100375053941. The next prime is 100375053967. The reversal of 100375053953 is 359350573001.

It can be written as a sum of positive squares in 4 ways, for example, as 7745089 + 100367308864 = 2783^2 + 316808^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100375053953 - 210 = 100375052929 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 100375053953.

It is not an unprimeable number, because it can be changed into a prime (100375053913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 153350 + ... + 473567.

It is an arithmetic number, because the mean of its divisors is an integer number (12981904485).

Almost surely, 2100375053953 is an apocalyptic number.

It is an amenable number.

100375053953 is a deficient number, since it is larger than the sum of its proper divisors (3480181927).

100375053953 is an equidigital number, since it uses as much as digits as its factorization.

100375053953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632467.

The product of its (nonzero) digits is 212625, while the sum is 41.

The spelling of 100375053953 in words is "one hundred billion, three hundred seventy-five million, fifty-three thousand, nine hundred fifty-three".

Divisors: 1 29 5521 160109 626917 18180593 3461208757 100375053953