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122311313201 = 72114110154799
BaseRepresentation
bin111000111101001010…
…0101000011100110001
3102200201002022111011002
41301322110220130301
54000443144010301
6132104455531345
711556663002600
oct1617224503461
9380632274132
10122311313201
1147965602a20
121b855989b55
13b6c2cc0a0c
145cc42bba37
1532acd5e16b
hex1c7a528731

122311313201 has 48 divisors (see below), whose sum is σ = 160578028800. Its totient is φ = 92060640000.

The previous prime is 122311313177. The next prime is 122311313213. The reversal of 122311313201 is 102313113221.

It is a happy number.

It is not a de Polignac number, because 122311313201 - 222 = 122307118897 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122311313221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2204600 + ... + 2259398.

It is an arithmetic number, because the mean of its divisors is an integer number (3345375600).

Almost surely, 2122311313201 is an apocalyptic number.

122311313201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122311313201 is a deficient number, since it is larger than the sum of its proper divisors (38266715599).

122311313201 is a wasteful number, since it uses less digits than its factorization.

122311313201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54966 (or 54959 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 122311313201 its reverse (102313113221), we get a palindrome (224624426422).

The spelling of 122311313201 in words is "one hundred twenty-two billion, three hundred eleven million, three hundred thirteen thousand, two hundred one".

Divisors: 1 7 11 41 49 77 101 287 451 539 707 1111 2009 3157 4141 4949 7777 22099 28987 45551 54439 54799 202909 318857 383593 602789 2231999 2246759 2685151 4219523 5534699 15727313 24714349 29536661 38742893 60881689 110091191 173000443 226922659 271200251 426171823 1211003101 1588458613 2496149249 2983202761 11119210291 17473044743 122311313201