Search a number
-
+
122310010330332 = 223115915704931989
BaseRepresentation
bin11011110011110110000100…
…101101111101110011011100
3121001001201111220202101022220
4123303312010231331303130
5112012411400121032312
61112044235411105340
734522415035053246
oct3363660455756334
9531051456671286
10122310010330332
1135a76425241670
12118745baba2250
135332a27686116
14222bb9c313096
15e2186da40c8c
hex6f3d84b7dcdc

122310010330332 has 48 divisors (see below), whose sum is σ = 316611428918400. Its totient is φ = 36435442212160.

The previous prime is 122310010330297. The next prime is 122310010330367. The reversal of 122310010330332 is 233033010013221.

122310010330332 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (122310010330297) and next prime (122310010330367).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7852458207 + ... + 7852473782.

It is an arithmetic number, because the mean of its divisors is an integer number (6596071435800).

Almost surely, 2122310010330332 is an apocalyptic number.

122310010330332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122310010330332 is an abundant number, since it is smaller than the sum of its proper divisors (194301418588068).

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

122310010330332 is a wasteful number, since it uses less digits than its factorization.

122310010330332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15704932066 (or 15704932064 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 122310010330332 its reverse (233033010013221), we get a palindrome (355343020343553).

The spelling of 122310010330332 in words is "one hundred twenty-two trillion, three hundred ten billion, ten million, three hundred thirty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 59 66 118 132 177 236 354 649 708 1298 1947 2596 3894 7788 15704931989 31409863978 47114795967 62819727956 94229591934 172754251879 188459183868 345508503758 518262755637 691017007516 926590987351 1036525511274 1853181974702 2073051022548 2779772962053 3706363949404 5559545924106 10192500860861 11119091848212 20385001721722 30577502582583 40770003443444 61155005165166 122310010330332