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100114313 = 1319938699
BaseRepresentation
bin1011111011110…
…01111110001001
320222101100000112
411331321332021
5201112124223
613533444105
72323646315
oct575717611
9228340015
10100114313
115156a402
1229640635
1317983850
14d420b45
158bc8778
hex5f79f89

100114313 has 8 divisors (see below), whose sum is σ = 108360000. Its totient is φ = 91946448.

The previous prime is 100114307. The next prime is 100114361. The reversal of 100114313 is 313411001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100114313 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100114393) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16763 + ... + 21936.

It is an arithmetic number, because the mean of its divisors is an integer number (13545000).

Almost surely, 2100114313 is an apocalyptic number.

100114313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100114313 is a deficient number, since it is larger than the sum of its proper divisors (8245687).

100114313 is a wasteful number, since it uses less digits than its factorization.

100114313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38911.

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 100114313 is about 10005.7140175002. The cubic root of 100114313 is about 464.3356806591.

Adding to 100114313 its reverse (313411001), we get a palindrome (413525314).

The spelling of 100114313 in words is "one hundred million, one hundred fourteen thousand, three hundred thirteen".

Divisors: 1 13 199 2587 38699 503087 7701101 100114313