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100355225 = 5229149929
BaseRepresentation
bin1011111101101…
…00110010011001
320222211120111012
411332310302121
5201142331400
613542543305
72326001555
oct576646231
9228746435
10100355225
1151714403
1229737b35
1317a393b9
14d484865
158c24d35
hex5fb4c99

100355225 has 24 divisors (see below), whose sum is σ = 129735000. Its totient is φ = 76912640.

The previous prime is 100355221. The next prime is 100355231. The reversal of 100355225 is 522553001.

It can be written as a sum of positive squares in 12 ways, for example, as 76667536 + 23687689 = 8756^2 + 4867^2 .

It is not a de Polignac number, because 100355225 - 22 = 100355221 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 100355225.

It is not an unprimeable number, because it can be changed into a prime (100355221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107561 + ... + 108489.

It is an arithmetic number, because the mean of its divisors is an integer number (5405625).

Almost surely, 2100355225 is an apocalyptic number.

It is an amenable number.

100355225 is a deficient number, since it is larger than the sum of its proper divisors (29379775).

100355225 is a wasteful number, since it uses less digits than its factorization.

100355225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1117 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 23.

The square root of 100355225 is about 10017.7455048529. The cubic root of 100355225 is about 464.7078366648.

The spelling of 100355225 in words is "one hundred million, three hundred fifty-five thousand, two hundred twenty-five".

Divisors: 1 5 25 29 145 149 725 745 929 3725 4321 4645 21605 23225 26941 108025 134705 138421 673525 692105 3460525 4014209 20071045 100355225