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310141013 = 71317433463
BaseRepresentation
bin10010011111000…
…110000001010101
3210121120210111012
4102133012001111
51113344003023
650435222005
710454104130
oct2237060125
9717523435
10310141013
1114a080596
1287a47905
134c33b8c0
142d293217
151c363978
hex127c6055

310141013 has 32 divisors (see below), whose sum is σ = 405974016. Its totient is φ = 229920768.

The previous prime is 310140997. The next prime is 310141061.

310141013 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 310141013 - 24 = 310140997 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (310141063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 669620 + ... + 670082.

It is an arithmetic number, because the mean of its divisors is an integer number (12686688).

Almost surely, 2310141013 is an apocalyptic number.

It is an amenable number.

310141013 is a deficient number, since it is larger than the sum of its proper divisors (95833003).

310141013 is a wasteful number, since it uses less digits than its factorization.

310141013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933.

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

The square root of 310141013 is about 17610.8209064768. The cubic root of 310141013 is about 676.8925492037.

The spelling of 310141013 in words is "three hundred ten million, one hundred forty-one thousand, thirteen".

Divisors: 1 7 13 17 91 119 221 433 463 1547 3031 3241 5629 6019 7361 7871 39403 42133 51527 55097 95693 102323 200479 669851 716261 1403353 2606227 3408143 18243589 23857001 44305859 310141013