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310103013 = 311311072833
BaseRepresentation
bin10010011110111…
…100101111100101
3210121111212100210
4102132330233211
51113341244023
650434330033
710453555263
oct2236745745
9717455323
10310103013
1114a054a90
1287a29919
134c32750c
142d283433
151c357593
hex127bcbe5

310103013 has 32 divisors (see below), whose sum is σ = 470126592. Its totient is φ = 180115200.

The previous prime is 310103011. The next prime is 310103029. The reversal of 310103013 is 310301013.

It is not a de Polignac number, because 310103013 - 21 = 310103011 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 310103013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (310103011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108045 + ... + 110877.

It is an arithmetic number, because the mean of its divisors is an integer number (14691456).

Almost surely, 2310103013 is an apocalyptic number.

310103013 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

310103013 is a deficient number, since it is larger than the sum of its proper divisors (160023579).

310103013 is a wasteful number, since it uses less digits than its factorization.

310103013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2985.

The product of its (nonzero) digits is 27, while the sum is 12.

The square root of 310103013 is about 17609.7419912956. The cubic root of 310103013 is about 676.8649026748.

Adding to 310103013 its reverse (310301013), we get a palindrome (620404026).

The spelling of 310103013 in words is "three hundred ten million, one hundred three thousand, thirteen".

Divisors: 1 3 11 31 33 93 107 321 341 1023 1177 2833 3317 3531 8499 9951 31163 36487 87823 93489 109461 263469 303131 909393 966053 2898159 3334441 9397061 10003323 28191183 103367671 310103013