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100113601 = 731372337
BaseRepresentation
bin1011111011110…
…01110011000001
320222101022001011
411331321303001
5201112113401
613533440521
72323644250
oct575716301
9228338034
10100113601
1151569915
1229640141
1317983423
14d420797
158bc8451
hex5f79cc1

100113601 has 24 divisors (see below), whose sum is σ = 121744896. Its totient is φ = 80559360.

The previous prime is 100113577. The next prime is 100113623. The reversal of 100113601 is 106311001.

It is a happy number.

It is not a de Polignac number, because 100113601 - 213 = 100105409 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100113001) 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, 296905 + ... + 297241.

It is an arithmetic number, because the mean of its divisors is an integer number (5072704).

Almost surely, 2100113601 is an apocalyptic number.

It is an amenable number.

100113601 is a deficient number, since it is larger than the sum of its proper divisors (21631295).

100113601 is an equidigital number, since it uses as much as digits as its factorization.

100113601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 100113601 is about 10005.6784377672. The cubic root of 100113601 is about 464.3345798914.

Adding to 100113601 its reverse (106311001), we get a palindrome (206424602).

The spelling of 100113601 in words is "one hundred million, one hundred thirteen thousand, six hundred one".

Divisors: 1 7 31 37 217 259 337 1147 1369 2359 8029 9583 10447 12469 42439 73129 87283 297073 386539 461353 2705773 3229471 14301943 100113601