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123013301112 = 2332131717344687
BaseRepresentation
bin111001010010000101…
…0100000001101111000
3102202112000020011112100
41302210022200031320
54003412401113422
6132302253543400
711613245543562
oct1624412401570
9382460204470
10123013301112
114819588a919
121ba10aa4b60
13b7a5577b90
145d4d612332
1532ee7c57ac
hex1ca42a0378

123013301112 has 192 divisors, whose sum is σ = 382098487680. Its totient is φ = 35417051136.

The previous prime is 123013301107. The next prime is 123013301161. The reversal of 123013301112 is 211103310321.

123013301112 is a `hidden beast` number, since 12 + 301 + 330 + 11 + 12 = 666.

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 47 ways as a sum of consecutive naturals, for example, 2730433 + ... + 2775119.

It is an arithmetic number, because the mean of its divisors is an integer number (1990096290).

Almost surely, 2123013301112 is an apocalyptic number.

123013301112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123013301112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191049243840).

123013301112 is an abundant number, since it is smaller than the sum of its proper divisors (259085186568).

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

123013301112 is a wasteful number, since it uses less digits than its factorization.

123013301112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44902 (or 44895 counting only the distinct ones).

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

Adding to 123013301112 its reverse (211103310321), we get a palindrome (334116611433).

The spelling of 123013301112 in words is "one hundred twenty-three billion, thirteen million, three hundred one thousand, one hundred twelve".