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123114031326 = 2331113113199709
BaseRepresentation
bin111001010101000101…
…0110000100011011110
3102202210000202210102000
41302222022300203132
54004114143000301
6132320252543130
711615610666636
oct1625212604336
9382700683360
10123114031326
114823772aa30
121ba3a781aa6
13b7c03b5b60
145d5cb536c6
153308571786
hex1caa2b08de

123114031326 has 256 divisors, whose sum is σ = 326350080000. Its totient is φ = 33913313280.

The previous prime is 123114031217. The next prime is 123114031357. The reversal of 123114031326 is 623130411321.

It is a happy number.

123114031326 is a `hidden beast` number, since 1 + 231 + 1 + 403 + 1 + 3 + 26 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 123114031326.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 173644260 + ... + 173644968.

It is an arithmetic number, because the mean of its divisors is an integer number (1274805000).

Almost surely, 2123114031326 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123114031326, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163175040000).

123114031326 is an abundant number, since it is smaller than the sum of its proper divisors (203236048674).

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

123114031326 is a wasteful number, since it uses less digits than its factorization.

123114031326 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 123114031326 its reverse (623130411321), we get a palindrome (746244442647).

The spelling of 123114031326 in words is "one hundred twenty-three billion, one hundred fourteen million, thirty-one thousand, three hundred twenty-six".