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100293325 = 52112511453
BaseRepresentation
bin1011111101001…
…01101011001101
320222201102120121
411332211223031
5201133341300
613541344541
72325323236
oct576455315
9228642517
10100293325
1151681950
1229708151
1317a17182
14d46a08d
158c1181a
hex5fa5acd

100293325 has 24 divisors (see below), whose sum is σ = 136303776. Its totient is φ = 72600000.

The previous prime is 100293311. The next prime is 100293341. The reversal of 100293325 is 523392001.

It is a happy number.

It is not a de Polignac number, because 100293325 - 25 = 100293293 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 100293325.

It is a congruent number.

It is an unprimeable number.

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, 68299 + ... + 69751.

It is an arithmetic number, because the mean of its divisors is an integer number (5679324).

Almost surely, 2100293325 is an apocalyptic number.

It is an amenable number.

100293325 is a deficient number, since it is larger than the sum of its proper divisors (36010451).

100293325 is a wasteful number, since it uses less digits than its factorization.

100293325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1725 (or 1720 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 25.

The square root of 100293325 is about 10014.6555108002. The cubic root of 100293325 is about 464.6122716976.

The spelling of 100293325 in words is "one hundred million, two hundred ninety-three thousand, three hundred twenty-five".

Divisors: 1 5 11 25 55 251 275 1255 1453 2761 6275 7265 13805 15983 36325 69025 79915 364703 399575 1823515 4011733 9117575 20058665 100293325