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3110122213313 = 17732506141993
BaseRepresentation
bin101101010000100001101…
…110101100111111000001
3102000022202202122022222012
4231100201232230333001
5401424012241311223
610340434224422305
7440461504424423
oct55204156547701
912008682568865
103110122213313
11a99aa49aa525
12422919777995
1319738b44a27b
14aa760410813
1555d7c42cc78
hex2d421bacfc1

3110122213313 has 8 divisors (see below), whose sum is σ = 3338181136008. Its totient is φ = 2887075574784.

The previous prime is 3110122213301. The next prime is 3110122213337. The reversal of 3110122213313 is 3133122210113.

3110122213313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 905099168689 + 2205023044624 = 951367^2 + 1484932^2 .

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 3110122213313 - 216 = 3110122147777 is a prime.

It is a super-3 number, since 3×31101222133133 (a number of 38 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3110122213343) 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, 1253069756 + ... + 1253072237.

It is an arithmetic number, because the mean of its divisors is an integer number (417272642001).

Almost surely, 23110122213313 is an apocalyptic number.

It is an amenable number.

3110122213313 is a deficient number, since it is larger than the sum of its proper divisors (228058922695).

3110122213313 is a wasteful number, since it uses less digits than its factorization.

3110122213313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2506142083.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 3110122213313 its reverse (3133122210113), we get a palindrome (6243244423426).

The spelling of 3110122213313 in words is "three trillion, one hundred ten billion, one hundred twenty-two million, two hundred thirteen thousand, three hundred thirteen".

Divisors: 1 17 73 1241 2506141993 42604413881 182948365489 3110122213313