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122342131310 = 2572617157649
BaseRepresentation
bin111000111110000101…
…0001100011001101110
3102200210020022012122112
41301330022030121232
54001024041200220
6132111520244022
711560515646400
oct1617412143156
9380706265575
10122342131310
1147980a42033
121b864170612
13b6c94c1199
145cc8420b70
1532b08ea5c5
hex1c7c28c66e

122342131310 has 96 divisors (see below), whose sum is σ = 264040689600. Its totient is φ = 40676428800.

The previous prime is 122342131291. The next prime is 122342131313. The reversal of 122342131310 is 13131243221.

It is a super-2 number, since 2×1223421313102 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122342131313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2093366 + ... + 2151014.

It is an arithmetic number, because the mean of its divisors is an integer number (2750423850).

Almost surely, 2122342131310 is an apocalyptic number.

122342131310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122342131310 is an abundant number, since it is smaller than the sum of its proper divisors (141698558290).

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

122342131310 is a wasteful number, since it uses less digits than its factorization.

122342131310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57802 (or 57795 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 122342131310 its reverse (13131243221), we get a palindrome (135473374531).

The spelling of 122342131310 in words is "one hundred twenty-two billion, three hundred forty-two million, one hundred thirty-one thousand, three hundred ten".

Divisors: 1 2 5 7 10 14 35 49 61 70 71 98 122 142 245 305 355 427 490 497 610 710 854 994 2135 2485 2989 3479 4270 4331 4970 5978 6958 8662 14945 17395 21655 29890 30317 34790 43310 57649 60634 115298 151585 212219 288245 303170 403543 424438 576490 807086 1061095 2017715 2122190 2824801 3516589 4035430 4093079 5649602 7033178 8186158 14124005 17582945 20465395 24616123 28248010 28651553 35165890 40930790 49232246 57303106 123080615 143257765 172312861 200560871 246161230 249677819 286515530 344625722 401121742 499355638 861564305 1002804355 1248389095 1723128610 1747744733 2005608710 2496778190 3495489466 8738723665 12234213131 17477447330 24468426262 61171065655 122342131310