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131342040342300 = 22352437806801141
BaseRepresentation
bin11101110111010001110011…
…101010001001111100011100
3122020001011202121200101221210
4131313101303222021330130
5114203401444311423200
61143201411140024420
736444102125330604
oct3567216352117434
9566034677611853
10131342040342300
1138938934769867
1212892b73692110
1358396693627c8
142460dbacb1c04
15102b794186650
hex777473a89f1c

131342040342300 has 36 divisors (see below), whose sum is σ = 380016303391256. Its totient is φ = 35024544091200.

The previous prime is 131342040342283. The next prime is 131342040342397. The reversal of 131342040342300 is 3243040243131.

It is a happy number.

131342040342300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1313420403423002 (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 218903400271 + ... + 218903400870.

Almost surely, 2131342040342300 is an apocalyptic number.

131342040342300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131342040342300 is an abundant number, since it is smaller than the sum of its proper divisors (248674263048956).

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

131342040342300 is a wasteful number, since it uses less digits than its factorization.

131342040342300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437806801158 (or 437806801151 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 131342040342300 its reverse (3243040243131), we get a palindrome (134585080585431).

The spelling of 131342040342300 in words is "one hundred thirty-one trillion, three hundred forty-two billion, forty million, three hundred forty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 437806801141 875613602282 1313420403423 1751227204564 2189034005705 2626840806846 4378068011410 5253681613692 6567102017115 8756136022820 10945170028525 13134204034230 21890340057050 26268408068460 32835510085575 43780680114100 65671020171150 131342040342300