Search a number
-
+
123031134402135 = 3566792026160611
BaseRepresentation
bin11011111110010101101011…
…000011111111011001010111
3121010121122212021220210221120
4123332111223003333121113
5112111220230401332020
61113355420050415023
734625464126405041
oct3376255303773127
9533548767823846
10123031134402135
1136224235a56043
1211970311b91473
135385a2b35921b
142254a4ad06a91
15e354c73a2740
hex6fe56b0ff657

123031134402135 has 32 divisors (see below), whose sum is σ = 196892253550080. Its totient is φ = 65602460246400.

The previous prime is 123031134402131. The next prime is 123031134402181. The reversal of 123031134402135 is 531204431130321.

It is not a de Polignac number, because 123031134402135 - 22 = 123031134402131 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 123031134402096 and 123031134402105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123031134402131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2029817980 + ... + 2029878590.

It is an arithmetic number, because the mean of its divisors is an integer number (6152882923440).

Almost surely, 2123031134402135 is an apocalyptic number.

123031134402135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

123031134402135 is a deficient number, since it is larger than the sum of its proper divisors (73861119147945).

123031134402135 is a wasteful number, since it uses less digits than its factorization.

123031134402135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87559.

The product of its (nonzero) digits is 25920, while the sum is 33.

Adding to 123031134402135 its reverse (531204431130321), we get a palindrome (654235565532456).

The spelling of 123031134402135 in words is "one hundred twenty-three trillion, thirty-one billion, one hundred thirty-four million, four hundred two thousand, one hundred thirty-five".

Divisors: 1 3 5 15 6679 20037 20261 33395 60611 60783 100185 101305 181833 303055 303915 909165 135323219 404820869 405969657 676616095 1214462607 1228039471 2024104345 2029848285 3684118413 6072313035 6140197355 18420592065 8202075626809 24606226880427 41010378134045 123031134402135