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100442525 = 5247731171
BaseRepresentation
bin1011111110010…
…10000110011101
321000000000020112
411333022012131
5201203130100
613544455405
72326514231
oct577120635
9230000215
10100442525
1151773a57
122977a565
1317a6a061
14d4a85c1
158c40b35
hex5fca19d

100442525 has 24 divisors (see below), whose sum is σ = 129051264. Its totient is φ = 77500800.

The previous prime is 100442521. The next prime is 100442527. The reversal of 100442525 is 525244001.

It is a happy number.

It is not a de Polignac number, because 100442525 - 22 = 100442521 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 100442525.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100442521) 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, 85190 + ... + 86360.

It is an arithmetic number, because the mean of its divisors is an integer number (5377136).

Almost surely, 2100442525 is an apocalyptic number.

It is an amenable number.

100442525 is a deficient number, since it is larger than the sum of its proper divisors (28608739).

100442525 is a wasteful number, since it uses less digits than its factorization.

100442525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1301 (or 1296 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

The square root of 100442525 is about 10022.1018254656. The cubic root of 100442525 is about 464.8425489200.

Adding to 100442525 its reverse (525244001), we get a palindrome (625686526).

The spelling of 100442525 in words is "one hundred million, four hundred forty-two thousand, five hundred twenty-five".

Divisors: 1 5 25 47 73 235 365 1171 1175 1825 3431 5855 17155 29275 55037 85483 85775 275185 427415 1375925 2137075 4017701 20088505 100442525