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123013130310 = 232572323935521
BaseRepresentation
bin111001010010000100…
…1110110100001000110
3102202111222220111020100
41302210021312201012
54003412330132220
6132302250144530
711613244232610
oct1624411664106
9382458814210
10123013130310
1148195783564
121ba10a22146
13b7a5518205
145d4d5a9db0
1532ee78ed90
hex1ca4276846

123013130310 has 192 divisors, whose sum is σ = 383023779840. Its totient is φ = 26781511680.

The previous prime is 123013130257. The next prime is 123013130341. The reversal of 123013130310 is 13031310321.

It is a happy number.

123013130310 is a `hidden beast` number, since 1 + 230 + 131 + 303 + 1 + 0 = 666.

It is a super-2 number, since 2×1230131303102 (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 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, 3445350 + ... + 3480870.

It is an arithmetic number, because the mean of its divisors is an integer number (1994915520).

Almost surely, 2123013130310 is an apocalyptic number.

123013130310 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 123013130310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191511889920).

123013130310 is an abundant number, since it is smaller than the sum of its proper divisors (260010649530).

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

123013130310 is a wasteful number, since it uses less digits than its factorization.

123013130310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35803 (or 35800 counting only the distinct ones).

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

Adding to 123013130310 its reverse (13031310321), we get a palindrome (136044440631).

The spelling of 123013130310 in words is "one hundred twenty-three billion, thirteen million, one hundred thirty thousand, three hundred ten".