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100635413 = 47245557
BaseRepresentation
bin1011111111110…
…01001100010101
321000100210211112
411333321030111
5201230313123
613552544405
72331246464
oct577711425
9230323745
10100635413
115189596a
1229852105
1317b06aa8
14d5189db
158c7cd78
hex5ff9315

100635413 has 6 divisors (see below), whose sum is σ = 102824406. Its totient is φ = 98492072.

The previous prime is 100635397. The next prime is 100635473. The reversal of 100635413 is 314536001.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 83137924 + 17497489 = 9118^2 + 4183^2 .

It is not a de Polignac number, because 100635413 - 24 = 100635397 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100635473) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 20570 + ... + 24987.

It is an arithmetic number, because the mean of its divisors is an integer number (17137401).

Almost surely, 2100635413 is an apocalyptic number.

It is an amenable number.

100635413 is a deficient number, since it is larger than the sum of its proper divisors (2188993).

100635413 is an frugal number, since it uses more digits than its factorization.

100635413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45651 (or 45604 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 100635413 is about 10031.7203409983. The cubic root of 100635413 is about 465.1399170427.

The spelling of 100635413 in words is "one hundred million, six hundred thirty-five thousand, four hundred thirteen".

Divisors: 1 47 2209 45557 2141179 100635413