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123013002330 = 23254133336857
BaseRepresentation
bin111001010010000100…
…1010111010001011010
3102202111222122222200100
41302210021113101122
54003412312033310
6132302243320230
711613243160521
oct1624411272132
9382458588610
10123013002330
11481956a6399
121ba10980076
13b7a54a1b9a
145d4d5754b8
1532ee766ec0
hex1ca425745a

123013002330 has 48 divisors (see below), whose sum is σ = 327634640424. Its totient is φ = 32003381760.

The previous prime is 123013002323. The next prime is 123013002347. The reversal of 123013002330 is 33200310321.

123013002330 is a `hidden beast` number, since 1 + 2 + 30 + 1 + 300 + 2 + 330 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 60579484641 + 62433517689 = 246129^2 + 249867^2 .

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 (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16664739 + ... + 16672118.

Almost surely, 2123013002330 is an apocalyptic number.

123013002330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

123013002330 is an abundant number, since it is smaller than the sum of its proper divisors (204621638094).

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

123013002330 is a wasteful number, since it uses less digits than its factorization.

123013002330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33336911 (or 33336908 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 123013002330 its reverse (33200310321), we get a palindrome (156213312651).

The spelling of 123013002330 in words is "one hundred twenty-three billion, thirteen million, two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 41 45 82 90 123 205 246 369 410 615 738 1230 1845 3690 33336857 66673714 100010571 166684285 200021142 300031713 333368570 500052855 600063426 1000105710 1366811137 1500158565 2733622274 3000317130 4100433411 6834055685 8200866822 12301300233 13668111370 20502167055 24602600466 41004334110 61506501165 123013002330