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122102313213213 = 3259636322749439
BaseRepresentation
bin11011110000110100101001…
…000000010101110100011101
3121000022212102010222122010200
4123300310221000111310131
5112001011014140310323
61111405010041054113
734501413101513454
oct3360645100256435
9530285363878120
10122102313213213
11359a6333676453
12118402b5787339
1353192777c0b98
142221ad7c8bb9b
15e1b26499e443
hex6f0d29015d1d

122102313213213 has 12 divisors (see below), whose sum is σ = 176370311470080. Its totient is φ = 81401402067336.

The previous prime is 122102313213143. The next prime is 122102313213277. The reversal of 122102313213213 is 312312313201221.

122102313213213 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 0 + 2 + 313 + 21 + 321 + 3 = 666.

It is not a de Polignac number, because 122102313213213 - 29 = 122102313212701 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122102313211213) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6007453 + ... + 16741986.

It is an arithmetic number, because the mean of its divisors is an integer number (14697525955840).

Almost surely, 2122102313213213 is an apocalyptic number.

It is an amenable number.

122102313213213 is a deficient number, since it is larger than the sum of its proper divisors (54267998256867).

122102313213213 is a wasteful number, since it uses less digits than its factorization.

122102313213213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23345808 (or 23345805 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 122102313213213 its reverse (312312313201221), we get a palindrome (434414626414434).

The spelling of 122102313213213 in words is "one hundred twenty-two trillion, one hundred two billion, three hundred thirteen million, two hundred thirteen thousand, two hundred thirteen".

Divisors: 1 3 9 596363 1789089 5367267 22749439 68248317 204744951 13566923690357 40700771071071 122102313213213