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122322202132113 = 33113185532160971
BaseRepresentation
bin11011110100000001011011…
…011001111111111010010001
3121001002212222120210002021000
4123310001123121333322101
5112013111332221211423
61112054013251452213
734523326125500664
oct3364013331777221
9531085876702230
10122322202132113
1135a80611196805
1211876a41bb7069
135333c1b494509
14222c5d75bb6db
15e21d3404b843
hex6f405b67fe91

122322202132113 has 32 divisors (see below), whose sum is σ = 182831715665280. Its totient is φ = 80822075927040.

The previous prime is 122322202132037. The next prime is 122322202132121. The reversal of 122322202132113 is 311231202223221.

122322202132113 is a `hidden beast` number, since 1 + 2 + 2 + 322 + 2 + 0 + 2 + 1 + 321 + 13 = 666.

It is not a de Polignac number, because 122322202132113 - 29 = 122322202131601 is a prime.

It is a super-2 number, since 2×1223222021321132 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (122322202132133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55524718 + ... + 57685688.

It is an arithmetic number, because the mean of its divisors is an integer number (5713491114540).

Almost surely, 2122322202132113 is an apocalyptic number.

It is an amenable number.

122322202132113 is a deficient number, since it is larger than the sum of its proper divisors (60509513533167).

122322202132113 is a wasteful number, since it uses less digits than its factorization.

122322202132113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2179646 (or 2179640 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 122322202132113 its reverse (311231202223221), we get a palindrome (433553404355334).

The spelling of 122322202132113 in words is "one hundred twenty-two trillion, three hundred twenty-two billion, two hundred two million, one hundred thirty-two thousand, one hundred thirteen".

Divisors: 1 3 9 27 113 339 1017 3051 18553 55659 166977 500931 2096489 2160971 6289467 6482913 18868401 19448739 56605203 58346217 244189723 732569169 2197707507 6593122521 40092494963 120277484889 360832454667 1082497364001 4530451930819 13591355792457 40774067377371 122322202132113