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12314410432300 = 22522574073117643
BaseRepresentation
bin1011001100110010110000…
…0011110011011100101100
31121121020122102202221101101
42303030230003303130230
53103224403032313200
642105055000452444
72410454366415124
oct263145403633454
947536572687341
1012314410432300
113a1856a720189
12146a74717a124
136b4322b821c2
14308040915c84
151654d578726a
hexb332c0f372c

12314410432300 has 72 divisors (see below), whose sum is σ = 26833062792816. Its totient is φ = 4905351413760.

The previous prime is 12314410432273. The next prime is 12314410432307. The reversal of 12314410432300 is 323401441321.

It is a happy number.

12314410432300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12314410432307) 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, 104617279 + ... + 104734921.

It is an arithmetic number, because the mean of its divisors is an integer number (372681427678).

Almost surely, 212314410432300 is an apocalyptic number.

12314410432300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12314410432300 is an abundant number, since it is smaller than the sum of its proper divisors (14518652360516).

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

12314410432300 is a wasteful number, since it uses less digits than its factorization.

12314410432300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121987 (or 121980 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 12314410432300 its reverse (323401441321), we get a palindrome (12637811873621).

The spelling of 12314410432300 in words is "twelve trillion, three hundred fourteen billion, four hundred ten million, four hundred thirty-two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 257 514 1028 1285 2570 4073 5140 6425 8146 12850 16292 20365 25700 40730 81460 101825 117643 203650 235286 407300 470572 588215 1046761 1176430 2093522 2352860 2941075 4187044 5233805 5882150 10467610 11764300 20935220 26169025 30234251 52338050 60468502 104676100 120937004 151171255 302342510 479159939 604685020 755856275 958319878 1511712550 1916639756 2395799695 3023425100 4791599390 9583198780 11978998475 23957996950 47915993900 123144104323 246288208646 492576417292 615720521615 1231441043230 2462882086460 3078602608075 6157205216150 12314410432300