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313102141 = 11217152213
BaseRepresentation
bin10010101010011…
…000111100111101
3210211011020101121
4102222120330331
51120123232031
651022510541
710521216142
oct2252307475
9724136347
10313102141
11150813300
1288a35451
134cb37651
142d8243c9
151c74b011
hex12a98f3d

313102141 has 12 divisors (see below), whose sum is σ = 364400316. Its totient is φ = 267893120.

The previous prime is 313102079. The next prime is 313102187. The reversal of 313102141 is 141201313.

It can be written as a sum of positive squares in 2 ways, for example, as 111746041 + 201356100 = 10571^2 + 14190^2 .

It is not a de Polignac number, because 313102141 - 217 = 312971069 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313502141) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 74050 + ... + 78163.

It is an arithmetic number, because the mean of its divisors is an integer number (30366693).

Almost surely, 2313102141 is an apocalyptic number.

It is an amenable number.

313102141 is a deficient number, since it is larger than the sum of its proper divisors (51298175).

313102141 is a wasteful number, since it uses less digits than its factorization.

313102141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152252 (or 152241 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 313102141 is about 17694.6924528232. The cubic root of 313102141 is about 679.0399810746.

Adding to 313102141 its reverse (141201313), we get a palindrome (454303454).

The spelling of 313102141 in words is "three hundred thirteen million, one hundred two thousand, one hundred forty-one".

Divisors: 1 11 17 121 187 2057 152213 1674343 2587621 18417773 28463831 313102141