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313151101 = 17157117329
BaseRepresentation
bin10010101010100…
…100111001111101
3210211020201112221
4102222210321331
51120131313401
651023525341
710521511654
oct2252447175
9724221487
10313151101
1115084706a
1288a59851
134cb53a13
142d83819b
151c75a7a1
hex12aa4e7d

313151101 has 8 divisors (see below), whose sum is σ = 333686520. Its totient is φ = 292850688.

The previous prime is 313151081. The next prime is 313151107. The reversal of 313151101 is 101151313.

It can be written as a sum of positive squares in 4 ways, for example, as 4305625 + 308845476 = 2075^2 + 17574^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 313151101 - 27 = 313150973 is a prime.

It is a super-2 number, since 2×3131511012 = 196127224115024402, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313151107) 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, 55996 + ... + 61333.

It is an arithmetic number, because the mean of its divisors is an integer number (41710815).

Almost surely, 2313151101 is an apocalyptic number.

It is an amenable number.

313151101 is a deficient number, since it is larger than the sum of its proper divisors (20535419).

313151101 is a wasteful number, since it uses less digits than its factorization.

313151101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117503.

The product of its (nonzero) digits is 45, while the sum is 16.

The square root of 313151101 is about 17696.0758644396. The cubic root of 313151101 is about 679.0753732149.

The spelling of 313151101 in words is "three hundred thirteen million, one hundred fifty-one thousand, one hundred one".

Divisors: 1 17 157 2669 117329 1994593 18420653 313151101