Search a number
-
+
123131322030 = 23531165779903
BaseRepresentation
bin111001010101100110…
…0101101111010101110
3102202211020022020210110
41302223030231322232
54004133104301110
6132322111320450
711616210653103
oct1625314557256
9382736266713
10123131322030
114824646a772
121ba44520126
13b7c3b5b042
145d61174aaa
153309d39a20
hex1cab32deae

123131322030 has 64 divisors (see below), whose sum is σ = 305235836928. Its totient is φ = 31756250880.

The previous prime is 123131322001. The next prime is 123131322073. The reversal of 123131322030 is 30223131321.

It is a super-2 number, since 2×1231313220302 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 123131321988 and 123131322006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1501059 + ... + 1580961.

It is an arithmetic number, because the mean of its divisors is an integer number (4769309952).

Almost surely, 2123131322030 is an apocalyptic number.

123131322030 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 123131322030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152617918464).

123131322030 is an abundant number, since it is smaller than the sum of its proper divisors (182104514898).

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

123131322030 is a wasteful number, since it uses less digits than its factorization.

123131322030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81601.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 123131322030 its reverse (30223131321), we get a palindrome (153354453351).

The spelling of 123131322030 in words is "one hundred twenty-three billion, one hundred thirty-one million, three hundred twenty-two thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 186 310 465 930 1657 3314 4971 8285 9942 16570 24855 49710 51367 79903 102734 154101 159806 239709 256835 308202 399515 479418 513670 770505 799030 1198545 1541010 2397090 2476993 4953986 7430979 12384965 14861958 24769930 37154895 74309790 132399271 264798542 397197813 661996355 794395626 1323992710 1985989065 3971978130 4104377401 8208754802 12313132203 20521887005 24626264406 41043774010 61565661015 123131322030