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123314302301340 = 22357939476591253
BaseRepresentation
bin11100000010011101011001…
…001011110011010010011100
3121011121201202202021112012010
4130002131121023303102130
5112130340142342120330
61114133450341311220
734655110240005303
oct3402353113632234
9534551682245163
10123314302301340
1136323335940937
12119b717a405510
1353a6647bbc777
14226463079343a
15e3ca4bea23b0
hex7027592f349c

123314302301340 has 96 divisors (see below), whose sum is σ = 349739319444480. Its totient is φ = 32459332329216.

The previous prime is 123314302301297. The next prime is 123314302301357. The reversal of 123314302301340 is 43103203413321.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 123314302301298 and 123314302301307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15413154 + ... + 22004406.

It is an arithmetic number, because the mean of its divisors is an integer number (3643117910880).

Almost surely, 2123314302301340 is an apocalyptic number.

123314302301340 is a gapful number since it is divisible by the number (10) 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 123314302301340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174869659722240).

123314302301340 is an abundant number, since it is smaller than the sum of its proper divisors (226425017143140).

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

123314302301340 is a wasteful number, since it uses less digits than its factorization.

123314302301340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6595291 (or 6595289 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 123314302301340 its reverse (43103203413321), we get a palindrome (166417505714661).

The spelling of 123314302301340 in words is "one hundred twenty-three trillion, three hundred fourteen billion, three hundred two million, three hundred one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 79 158 237 316 395 474 790 948 1185 1580 2370 3947 4740 7894 11841 15788 19735 23682 39470 47364 59205 78940 118410 236820 311813 623626 935439 1247252 1559065 1870878 3118130 3741756 4677195 6236260 6591253 9354390 13182506 18708780 19773759 26365012 32956265 39547518 65912530 79095036 98868795 131825060 197737590 395475180 520708987 1041417974 1562126961 2082835948 2603544935 3124253922 5207089870 6248507844 7810634805 10414179740 15621269610 26015675591 31242539220 52031351182 78047026773 104062702364 130078377955 156094053546 260156755910 312188107092 390235133865 520313511820 780470267730 1560940535460 2055238371689 4110476743378 6165715115067 8220953486756 10276191858445 12331430230134 20552383716890 24662860460268 30828575575335 41104767433780 61657151150670 123314302301340