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101314113342 = 23131776405817
BaseRepresentation
bin101111001011011001…
…0101010111100111110
3100200111202101012212020
41132112302222330332
53124442403111332
6114313145021010
710214441516511
oct1362662527476
9320452335766
10101314113342
1139a701a2992
1217775a84766
139727b495c0
144c917b6d78
15297e7b682c
hex1796caaf3e

101314113342 has 32 divisors (see below), whose sum is σ = 231051193632. Its totient is φ = 29339833344.

The previous prime is 101314113337. The next prime is 101314113347. The reversal of 101314113342 is 243311413101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101314113337) and next prime (101314113347).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101314113347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38201583 + ... + 38204234.

It is an arithmetic number, because the mean of its divisors is an integer number (7220349801).

Almost surely, 2101314113342 is an apocalyptic number.

101314113342 is an abundant number, since it is smaller than the sum of its proper divisors (129737080290).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101314113342 is a wasteful number, since it uses less digits than its factorization.

101314113342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76405852.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 101314113342 its reverse (243311413101), we get a palindrome (344625526443).

The spelling of 101314113342 in words is "one hundred one billion, three hundred fourteen million, one hundred thirteen thousand, three hundred forty-two".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 221 442 663 1326 76405817 152811634 229217451 458434902 993275621 1298898889 1986551242 2597797778 2979826863 3896696667 5959653726 7793393334 16885685557 33771371114 50657056671 101314113342