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122331300330 = 23559289723857
BaseRepresentation
bin111000111101110000…
…0111000000111101010
3102200202110220221100010
41301323200320013222
54001013303102310
6132110452152350
711560324616241
oct1617340700752
9380673827303
10122331300330
1147975914608
121b8606086b6
13b6c719b315
145cc6c01958
1532ae9ab320
hex1c7b8381ea

122331300330 has 64 divisors (see below), whose sum is σ = 298686890880. Its totient is φ = 32056356864.

The previous prime is 122331300319. The next prime is 122331300353. The reversal of 122331300330 is 33003133221.

It is a junction number, because it is equal to n+sod(n) for n = 122331300297 and 122331300306.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5115762 + ... + 5139618.

It is an arithmetic number, because the mean of its divisors is an integer number (4666982670).

Almost surely, 2122331300330 is an apocalyptic number.

122331300330 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 122331300330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149343445440).

122331300330 is an abundant number, since it is smaller than the sum of its proper divisors (176355590550).

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

122331300330 is a wasteful number, since it uses less digits than its factorization.

122331300330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26823.

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 122331300330 its reverse (33003133221), we get a palindrome (155334433551).

The spelling of 122331300330 in words is "one hundred twenty-two billion, three hundred thirty-one million, three hundred thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 59 118 177 295 354 590 885 1770 2897 5794 8691 14485 17382 23857 28970 43455 47714 71571 86910 119285 143142 170923 238570 341846 357855 512769 715710 854615 1025538 1407563 1709230 2563845 2815126 4222689 5127690 7037815 8445378 14075630 21113445 42226890 69113729 138227458 207341187 345568645 414682374 691137290 1036705935 2073411870 4077710011 8155420022 12233130033 20388550055 24466260066 40777100110 61165650165 122331300330