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100114317 = 3273152381
BaseRepresentation
bin1011111011110…
…01111110001101
320222101100000200
411331321332031
5201112124232
613533444113
72323646322
oct575717615
9228340020
10100114317
115156a406
1229640639
1317983854
14d420b49
158bc877c
hex5f79f8d

100114317 has 12 divisors (see below), whose sum is σ = 146591484. Its totient is φ = 65828160.

The previous prime is 100114307. The next prime is 100114361. The reversal of 100114317 is 713411001.

It can be written as a sum of positive squares in 2 ways, for example, as 41912676 + 58201641 = 6474^2 + 7629^2 .

It is not a de Polignac number, because 100114317 - 26 = 100114253 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100114317.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100114307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75534 + ... + 76847.

It is an arithmetic number, because the mean of its divisors is an integer number (12215957).

Almost surely, 2100114317 is an apocalyptic number.

It is an amenable number.

100114317 is a deficient number, since it is larger than the sum of its proper divisors (46477167).

100114317 is a wasteful number, since it uses less digits than its factorization.

100114317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152460 (or 152457 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 100114317 is about 10005.7142173860. The cubic root of 100114317 is about 464.3356868431.

Adding to 100114317 its reverse (713411001), we get a palindrome (813525318).

The spelling of 100114317 in words is "one hundred million, one hundred fourteen thousand, three hundred seventeen".

Divisors: 1 3 9 73 219 657 152381 457143 1371429 11123813 33371439 100114317