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123311102130 = 232529377091801
BaseRepresentation
bin111001011010111101…
…0100001100010110010
3102210021202121000201200
41302311322201202302
54010020120232010
6132352012512030
711623523034246
oct1626572414262
9383252530650
10123311102130
11483289a2167
121ba9477b616
13b822185ab8
145d7adb2426
15331a9eccc0
hex1cb5ea18b2

123311102130 has 192 divisors, whose sum is σ = 341298079200. Its totient is φ = 30830284800.

The previous prime is 123311102129. The next prime is 123311102191. The reversal of 123311102130 is 31201113321.

123311102130 is a `hidden beast` number, since 12 + 331 + 110 + 213 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 2659774329 + 120651327801 = 51573^2 + 347349^2 .

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

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 95 ways as a sum of consecutive naturals, for example, 68467230 + ... + 68469030.

Almost surely, 2123311102130 is an apocalyptic number.

123311102130 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 123311102130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170649039600).

123311102130 is an abundant number, since it is smaller than the sum of its proper divisors (217986977070).

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

123311102130 is a wasteful number, since it uses less digits than its factorization.

123311102130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2589 (or 2586 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 123311102130 its reverse (31201113321), we get a palindrome (154512215451).

The spelling of 123311102130 in words is "one hundred twenty-three billion, three hundred eleven million, one hundred two thousand, one hundred thirty".