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122312105122231 = 2414211249965179
BaseRepresentation
bin11011110011111000000001…
…100100111101100110110111
3121001001220220220110211121001
4123303320001210331212313
5112012430142402402411
61112045223321504131
734522520662356253
oct3363700144754667
9531056826424531
10122312105122231
1135a772aa742842
1211874aa4642047
135332c9c66c55b
14222bd1a605263
15e219428c9dc1
hex6f3e0193d9b7

122312105122231 has 16 divisors (see below), whose sum is σ = 123210052900000. Its totient is φ = 121417848115200.

The previous prime is 122312105122211. The next prime is 122312105122303. The reversal of 122312105122231 is 132221501213221.

It is a cyclic number.

It is not a de Polignac number, because 122312105122231 - 215 = 122312105089463 is a prime.

It is a super-2 number, since 2×1223121051222312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 122312105122231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122312105122211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126242200 + ... + 127207378.

It is an arithmetic number, because the mean of its divisors is an integer number (7700628306250).

Almost surely, 2122312105122231 is an apocalyptic number.

122312105122231 is a deficient number, since it is larger than the sum of its proper divisors (897947777769).

122312105122231 is a wasteful number, since it uses less digits than its factorization.

122312105122231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967090.

The product of its (nonzero) digits is 2880, while the sum is 28.

Adding to 122312105122231 its reverse (132221501213221), we get a palindrome (254533606335452).

The spelling of 122312105122231 in words is "one hundred twenty-two trillion, three hundred twelve billion, one hundred five million, one hundred twenty-two thousand, two hundred thirty-one".

Divisors: 1 241 421 1249 101461 301009 525829 965179 126724789 232608139 406340359 1205508571 97928026519 290527565611 507519108391 122312105122231