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122422042314 = 2321113376912619
BaseRepresentation
bin111001000000011101…
…1000001111011001010
3102200222210200002221100
41302000323001323022
54001210020323224
6132123453122230
711562506122155
oct1620073017312
9380883602840
10122422042314
1147a12062390
121b886a89376
13b70cc1cbc0
145cd4ca2c9c
1532b7932ac9
hex1c80ec1eca

122422042314 has 96 divisors (see below), whose sum is σ = 311727124800. Its totient is φ = 34232129280.

The previous prime is 122422042297. The next prime is 122422042321. The reversal of 122422042314 is 413240224221.

It is a happy number.

122422042314 is a `hidden beast` number, since 1 + 2 + 2 + 4 + 220 + 423 + 14 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9695097 + ... + 9707715.

It is an arithmetic number, because the mean of its divisors is an integer number (3247157550).

Almost surely, 2122422042314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122422042314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155863562400).

122422042314 is an abundant number, since it is smaller than the sum of its proper divisors (189305082486).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122422042314 is a wasteful number, since it uses less digits than its factorization.

122422042314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16420 (or 16417 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 122422042314 its reverse (413240224221), we get a palindrome (535662266535).

The spelling of 122422042314 in words is "one hundred twenty-two billion, four hundred twenty-two million, forty-two thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 143 198 234 286 429 858 1287 2574 3769 7538 11307 12619 22614 25238 33921 37857 41459 48997 67842 75714 82918 97994 113571 124377 138809 146991 164047 227142 248754 277618 293982 328094 373131 416427 440973 492141 538967 746262 832854 881946 984282 1077934 1249281 1476423 1616901 1804517 2498562 2952846 3233802 3609034 4850703 5413551 9701406 10827102 16240653 32481306 47561011 95122022 142683033 285366066 428049099 523171121 618293143 856098198 1046342242 1236586286 1569513363 1854879429 3139026726 3709758858 4708540089 5564638287 6801224573 9417080178 11129276574 13602449146 20403673719 40807347438 61211021157 122422042314