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122267384213 = 1329415778017
BaseRepresentation
bin111000111011110110…
…1000011100110010101
3102200121000122122220112
41301313231003212111
54000400422243323
6132100250212405
711555620422002
oct1616755034625
9380530578815
10122267384213
1147942829477
121b843124105
13b6b6b7ca30
145cbc5248a9
1532a9083178
hex1c77b43995

122267384213 has 16 divisors (see below), whose sum is σ = 136247514480. Its totient is φ = 108942790656.

The previous prime is 122267384171. The next prime is 122267384233. The reversal of 122267384213 is 312483762221.

It can be written as a sum of positive squares in 8 ways, for example, as 37913152369 + 84354231844 = 194713^2 + 290438^2 .

It is a cyclic number.

It is not a de Polignac number, because 122267384213 - 224 = 122250606997 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122267384233) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1528181 + ... + 1606197.

It is an arithmetic number, because the mean of its divisors is an integer number (8515469655).

Almost surely, 2122267384213 is an apocalyptic number.

122267384213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

122267384213 is a deficient number, since it is larger than the sum of its proper divisors (13980130267).

122267384213 is a wasteful number, since it uses less digits than its factorization.

122267384213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82216.

The product of its digits is 193536, while the sum is 41.

The spelling of 122267384213 in words is "one hundred twenty-two billion, two hundred sixty-seven million, three hundred eighty-four thousand, two hundred thirteen".

Divisors: 1 13 29 377 4157 54041 78017 120553 1014221 1567189 2262493 29412409 324316669 4216116697 9405183401 122267384213