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122330044102045 = 51324111331247417
BaseRepresentation
bin11011110100001000101110…
…110100101111010110011101
3121001010122020002211102122211
4123310020232310233112131
5112013223412242231140
61112101351344240421
734524024350235043
oct3364105664572635
9531118202742584
10122330044102045
1135a8397583789a
1211878470310111
13533489b056700
14222cb3ccaa393
15e2214272d2ea
hex6f422ed2f59d

122330044102045 has 48 divisors (see below), whose sum is σ = 164274675847632. Its totient is φ = 87352776376320.

The previous prime is 122330044102003. The next prime is 122330044102051. The reversal of 122330044102045 is 540201440033221.

It can be written as a sum of positive squares in 24 ways, for example, as 122001987793401 + 328056308644 = 11045451^2 + 572762^2 .

It is not a de Polignac number, because 122330044102045 - 229 = 122329507231133 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122330044101998 and 122330044102016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11708824 + ... + 19538593.

It is an arithmetic number, because the mean of its divisors is an integer number (3422389080159).

Almost surely, 2122330044102045 is an apocalyptic number.

It is an amenable number.

122330044102045 is a deficient number, since it is larger than the sum of its proper divisors (41944631745587).

122330044102045 is a wasteful number, since it uses less digits than its factorization.

122330044102045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31247602 (or 31247589 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

Adding to 122330044102045 its reverse (540201440033221), we get a palindrome (662531484135266).

The spelling of 122330044102045 in words is "one hundred twenty-two trillion, three hundred thirty billion, forty-four million, one hundred two thousand, forty-five".

Divisors: 1 5 13 41 65 113 169 205 533 565 845 1469 2665 4633 6929 7345 19097 23165 34645 60229 95485 301145 782977 3914885 31247417 156237085 406216421 1281144097 2031082105 3530958121 5280813473 6405720485 16654873261 17654790605 26404067365 45902455573 83274366305 144769282961 216513352393 229512277865 596731922449 723846414805 1082566761965 1882000678493 2983659612245 9410003392465 24466008820409 122330044102045