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122310013131320 = 2357835262909343
BaseRepresentation
bin11011110011110110000100…
…111000101001101000111000
3121001001201112010000200120012
4123303312010320221220320
5112012411401330200240
61112044235551121052
734522415100630350
oct3363660470515070
9531051463020505
10122310013131320
1135a76426885033
12118745bbb13188
135332a28127001
14222bb9c841b60
15e2186dde5b65
hex6f3d84e29a38

122310013131320 has 64 divisors (see below), whose sum is σ = 318300757125120. Its totient is φ = 41429622340224.

The previous prime is 122310013131253. The next prime is 122310013131409. The reversal of 122310013131320 is 23131310013221.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2631431432 + ... + 2631477911.

It is an arithmetic number, because the mean of its divisors is an integer number (4973449330080).

Almost surely, 2122310013131320 is an apocalyptic number.

122310013131320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122310013131320 is an abundant number, since it is smaller than the sum of its proper divisors (195990743993800).

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

122310013131320 is a wasteful number, since it uses less digits than its factorization.

122310013131320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5262909444 (or 5262909440 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 122310013131320 its reverse (23131310013221), we get a palindrome (145441323144541).

The spelling of 122310013131320 in words is "one hundred twenty-two trillion, three hundred ten billion, thirteen million, one hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 83 140 166 280 332 415 581 664 830 1162 1660 2324 2905 3320 4648 5810 11620 23240 5262909343 10525818686 21051637372 26314546715 36840365401 42103274744 52629093430 73680730802 105258186860 147361461604 184201827005 210516373720 294722923208 368403654010 436821475469 736807308020 873642950938 1473614616040 1747285901876 2184107377345 3057750328283 3494571803752 4368214754690 6115500656566 8736429509380 12231001313132 15288751641415 17472859018760 24462002626264 30577503282830 61155006565660 122310013131320