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122334140113 = 1716141445829
BaseRepresentation
bin111000111101110101…
…1101101011011010001
3102200202200021012210021
41301323223231123101
54001020014440423
6132111033103441
711560361014423
oct1617353553321
9380680235707
10122334140113
1147977484139
121b861557b81
13b6c7953a73
145cc7340813
1532aed6c95d
hex1c7baed6d1

122334140113 has 8 divisors (see below), whose sum is σ = 129538581480. Its totient is φ = 115130622720.

The previous prime is 122334140081. The next prime is 122334140161. The reversal of 122334140113 is 311041433221.

It can be written as a sum of positive squares in 4 ways, for example, as 6123375504 + 116210764609 = 78252^2 + 340897^2 .

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 122334140113 - 25 = 122334140081 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122334140713) 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 7 ways as a sum of consecutive naturals, for example, 51483 + ... + 497311.

It is an arithmetic number, because the mean of its divisors is an integer number (16192322685).

Almost surely, 2122334140113 is an apocalyptic number.

It is an amenable number.

122334140113 is a deficient number, since it is larger than the sum of its proper divisors (7204441367).

122334140113 is a wasteful number, since it uses less digits than its factorization.

122334140113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461987.

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

Adding to 122334140113 its reverse (311041433221), we get a palindrome (433375573334).

The spelling of 122334140113 in words is "one hundred twenty-two billion, three hundred thirty-four million, one hundred forty thousand, one hundred thirteen".

Divisors: 1 17 16141 274397 445829 7579093 7196125889 122334140113