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122334022213 = 13231171349397
BaseRepresentation
bin111000111101110101…
…1010000101001000101
3102200202200001020001121
41301323223100221011
54001020002202323
6132111030353541
711560360013614
oct1617353205105
9380680036047
10122334022213
11479774035a7
121b8614bb8b1
13b6c79121c0
145cc730d87b
1532aed47a5d
hex1c7bad0a45

122334022213 has 16 divisors (see below), whose sum is σ = 137590137216. Its totient is φ = 107921436480.

The previous prime is 122334022189. The next prime is 122334022241. The reversal of 122334022213 is 312220433221.

It is not a de Polignac number, because 122334022213 - 213 = 122334014021 is a prime.

It is a super-2 number, since 2×1223340222132 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122334020213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175431 + ... + 524827.

It is an arithmetic number, because the mean of its divisors is an integer number (8599383576).

Almost surely, 2122334022213 is an apocalyptic number.

122334022213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

122334022213 is a deficient number, since it is larger than the sum of its proper divisors (15256115003).

122334022213 is a wasteful number, since it uses less digits than its factorization.

122334022213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350604.

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 122334022213 its reverse (312220433221), we get a palindrome (434554455434).

The spelling of 122334022213 in words is "one hundred twenty-two billion, three hundred thirty-four million, twenty-two thousand, two hundred thirteen".

Divisors: 1 13 23 299 1171 15223 26933 349397 350129 4542161 8036131 104469703 409143887 5318870531 9410309401 122334022213