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1014012234313 = 131714959351929
BaseRepresentation
bin11101100000101111101…
…01101100101001001001
310120221100020220200101021
432300113311230221021
5113103144112444223
62053455241152441
7133155111531061
oct16602765545111
93527306820337
101014012234313
1136104951aa31
1214463278b721
137480c29c250
14371153c63a1
151b59b9b465d
hexec17d6ca49

1014012234313 has 32 divisors (see below), whose sum is σ = 1165994676000. Its totient is φ = 873546940416.

The previous prime is 1014012234311. The next prime is 1014012234341. The reversal of 1014012234313 is 3134322104101.

It can be written as a sum of positive squares in 16 ways, for example, as 86011398729 + 928000835584 = 293277^2 + 963328^2 .

It is a cyclic number.

It is not a de Polignac number, because 1014012234313 - 21 = 1014012234311 is a prime.

It is a super-2 number, since 2×10140122343132 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1014012234311) 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, 19500933 + ... + 19552861.

It is an arithmetic number, because the mean of its divisors is an integer number (36437333625).

Almost surely, 21014012234313 is an apocalyptic number.

1014012234313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1014012234313 is a deficient number, since it is larger than the sum of its proper divisors (151982441687).

1014012234313 is a wasteful number, since it uses less digits than its factorization.

1014012234313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52701.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 1014012234313 its reverse (3134322104101), we get a palindrome (4148334338414).

The spelling of 1014012234313 in words is "one trillion, fourteen billion, twelve million, two hundred thirty-four thousand, three hundred thirteen".

Divisors: 1 13 17 149 221 593 1937 2533 7709 10081 32929 51929 88357 131053 675077 882793 1148641 1502069 7737421 11476309 19526897 30793897 100586473 131536157 400320661 523496249 1709970041 4588290653 6805451237 59647778489 78000941101 1014012234313