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122212312313 = 7132129180021
BaseRepresentation
bin111000111010001101…
…0111110010011111001
3102200110012000201110112
41301310122332103321
54000242322443223
6132051001554105
711554351341350
oct1616432762371
9380405021415
10122212312313
1147914734103
121b8287a5935
13b6a8639c00
145cb50aa997
1532a4305778
hex1c746be4f9

122212312313 has 24 divisors (see below), whose sum is σ = 151360652736. Its totient is φ = 96619348800.

The previous prime is 122212312309. The next prime is 122212312337. The reversal of 122212312313 is 313213212221.

It is not a de Polignac number, because 122212312313 - 22 = 122212312309 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122212312363) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1487243 + ... + 1567263.

It is an arithmetic number, because the mean of its divisors is an integer number (6306693864).

Almost surely, 2122212312313 is an apocalyptic number.

122212312313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

122212312313 is a deficient number, since it is larger than the sum of its proper divisors (29148340423).

122212312313 is a wasteful number, since it uses less digits than its factorization.

122212312313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81345 (or 81332 counting only the distinct ones).

The product of its digits is 864, while the sum is 23.

Adding to 122212312313 its reverse (313213212221), we get a palindrome (435425524534).

The spelling of 122212312313 in words is "one hundred twenty-two billion, two hundred twelve million, three hundred twelve thousand, three hundred thirteen".

Divisors: 1 7 13 91 169 1183 1291 9037 16783 80021 117481 218179 560147 1040273 1527253 7281911 13523549 94664843 103307111 723149777 1342992443 9400947101 17458901759 122212312313