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123113312442 = 23267491920753
BaseRepresentation
bin111001010101000100…
…0000001000010111010
3102202202222102021021200
41302222020001002322
54004114001444232
6132320225315030
711615601614031
oct1625210010272
9382688367250
10123113312442
114823728990a
121ba3a495a76
13b7c01c3893
145d5ca07718
15330847d77c
hex1caa2010ba

123113312442 has 48 divisors (see below), whose sum is σ = 270794871360. Its totient is φ = 40415101056.

The previous prime is 123113312423. The next prime is 123113312449. The reversal of 123113312442 is 244213311321.

123113312442 is a `hidden beast` number, since 12 + 311 + 331 + 2 + 4 + 4 + 2 = 666.

It is a super-3 number, since 3×1231133124423 (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (123113312449) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5921938 + ... + 5942690.

It is an arithmetic number, because the mean of its divisors is an integer number (5641559820).

Almost surely, 2123113312442 is an apocalyptic number.

123113312442 is an abundant number, since it is smaller than the sum of its proper divisors (147681558918).

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

123113312442 is a wasteful number, since it uses less digits than its factorization.

123113312442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25747 (or 25744 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 123113312442 its reverse (244213311321), we get a palindrome (367326623763).

The spelling of 123113312442 in words is "one hundred twenty-three billion, one hundred thirteen million, three hundred twelve thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 67 134 201 402 603 1206 4919 9838 14757 20753 29514 41506 44271 62259 88542 124518 186777 329573 373554 659146 988719 1390451 1977438 2780902 2966157 4171353 5932314 8342706 12514059 25028118 102084007 204168014 306252021 612504042 918756063 1837512126 6839628469 13679256938 20518885407 41037770814 61556656221 123113312442