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122340042330 = 235112118728393
BaseRepresentation
bin111000111110000001…
…0001110011001011010
3102200210002101002002220
41301330002032121122
54001023022323310
6132111403404510
711560462126152
oct1617402163132
9380702332086
10122340042330
114797a845600
121b863523736
13b6c8c3c3bc
145cc8039762
1532b0636670
hex1c7c08e65a

122340042330 has 96 divisors (see below), whose sum is σ = 323018321472. Its totient is φ = 29632162560.

The previous prime is 122340042317. The next prime is 122340042367. The reversal of 122340042330 is 33240043221.

It is a self number, because there is not a number n which added to its sum of digits gives 122340042330.

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, 4294614 + ... + 4323006.

It is an arithmetic number, because the mean of its divisors is an integer number (3364774182).

Almost surely, 2122340042330 is an apocalyptic number.

122340042330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122340042330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161509160736).

122340042330 is an abundant number, since it is smaller than the sum of its proper divisors (200678279142).

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

122340042330 is a wasteful number, since it uses less digits than its factorization.

122340042330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29612 (or 29601 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 122340042330 its reverse (33240043221), we get a palindrome (155580085551).

The spelling of 122340042330 in words is "one hundred twenty-two billion, three hundred forty million, forty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 121 165 242 330 363 605 726 1187 1210 1815 2374 3561 3630 5935 7122 11870 13057 17805 26114 28393 35610 39171 56786 65285 78342 85179 130570 141965 143627 170358 195855 283930 287254 312323 391710 425895 430881 624646 718135 851790 861762 936969 1436270 1561615 1873938 2154405 3123230 3435553 4308810 4684845 6871106 9369690 10306659 17177765 20613318 33702491 34355530 51533295 67404982 101107473 103066590 168512455 202214946 337024910 370727401 505537365 741454802 1011074730 1112182203 1853637005 2224364406 3707274010 4078001411 5560911015 8156002822 11121822030 12234004233 20390007055 24468008466 40780014110 61170021165 122340042330