Search a number
-
+
123131103030 = 2325131921126251
BaseRepresentation
bin111001010101100101…
…1111000011100110110
3102202211012220010101100
41302223023320130312
54004133030244110
6132322102510530
711616206051445
oct1625313703466
9382735803340
10123131103030
1148246330181
121ba44435446
13b7c3ab2460
145d61118d5c
153309ce4bc0
hex1cab2f8736

123131103030 has 192 divisors, whose sum is σ = 364646580480. Its totient is φ = 28576800000.

The previous prime is 123131103001. The next prime is 123131103097. The reversal of 123131103030 is 30301131321.

It is a happy number.

It is a super-2 number, since 2×1231311030302 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 123131102994 and 123131103012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4677405 + ... + 4703655.

It is an arithmetic number, because the mean of its divisors is an integer number (1899200940).

Almost surely, 2123131103030 is an apocalyptic number.

123131103030 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 123131103030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182323290240).

123131103030 is an abundant number, since it is smaller than the sum of its proper divisors (241515477450).

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

123131103030 is a wasteful number, since it uses less digits than its factorization.

123131103030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26507 (or 26504 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 123131103030 its reverse (30301131321), we get a palindrome (153432234351).

The spelling of 123131103030 in words is "one hundred twenty-three billion, one hundred thirty-one million, one hundred three thousand, thirty".