Search a number
-
+
122341042032 = 24311297217157
BaseRepresentation
bin111000111110000011…
…0000010011101110000
3102200210011020212102220
41301330012002131300
54001023301321112
6132111441041040
711560503461556
oct1617406023560
9380704225386
10122341042032
1147980368700
121b863926180
13b6c91cc441
145cc8219bd6
1532b078298c
hex1c7c182770

122341042032 has 120 divisors (see below), whose sum is σ = 350974234128. Its totient is φ = 36690677760.

The previous prime is 122341042027. The next prime is 122341042039. The reversal of 122341042032 is 230240143221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 122341041993 and 122341042011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122341042039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 454798 + ... + 671954.

Almost surely, 2122341042032 is an apocalyptic number.

122341042032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122341042032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175487117064).

122341042032 is an abundant number, since it is smaller than the sum of its proper divisors (228633192096).

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

122341042032 is a wasteful number, since it uses less digits than its factorization.

122341042032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217287 (or 217270 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 122341042032 its reverse (230240143221), we get a palindrome (352581185253).

The spelling of 122341042032 in words is "one hundred twenty-two billion, three hundred forty-one million, forty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 97 121 132 176 194 242 264 291 363 388 484 528 582 726 776 968 1067 1164 1452 1552 1936 2134 2328 2904 3201 4268 4656 5808 6402 8536 11737 12804 17072 23474 25608 35211 46948 51216 70422 93896 140844 187792 217157 281688 434314 563376 651471 868628 1302942 1737256 2388727 2605884 3474512 4777454 5211768 7166181 9554908 10423536 14332362 19109816 21064229 26275997 28664724 38219632 42128458 52551994 57329448 63192687 78827991 84256916 105103988 114658896 126385374 157655982 168513832 210207976 231706519 252770748 315311964 337027664 420415952 463413038 505541496 630623928 695119557 926826076 1011082992 1261247856 1390239114 1853652152 2548771709 2780478228 3707304304 5097543418 5560956456 7646315127 10195086836 11121912912 15292630254 20390173672 30585260508 40780347344 61170521016 122341042032