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131311300230 = 233511291524571
BaseRepresentation
bin111101001001011000…
…0110110111010000110
3110112221022101012101000
41322102300312322012
54122411143101410
6140153520514130
712326005431045
oct1722260667206
9415838335330
10131311300230
1150763895430
1221547a7b946
13c4c8768126
1464d96cc55c
153638036dc0
hex1e92c36e86

131311300230 has 128 divisors (see below), whose sum is σ = 395169062400. Its totient is φ = 30735331200.

The previous prime is 131311300213. The next prime is 131311300231. The reversal of 131311300230 is 32003113131.

It is a happy number.

131311300230 is a `hidden beast` number, since 1 + 3 + 131 + 1 + 300 + 230 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131311300231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 676156 + ... + 848415.

It is an arithmetic number, because the mean of its divisors is an integer number (3087258300).

Almost surely, 2131311300230 is an apocalyptic number.

131311300230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131311300230 is an abundant number, since it is smaller than the sum of its proper divisors (263857762170).

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

131311300230 is a wasteful number, since it uses less digits than its factorization.

131311300230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1524627 (or 1524621 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 131311300230 its reverse (32003113131), we get a palindrome (163314413361).

The spelling of 131311300230 in words is "one hundred thirty-one billion, three hundred eleven million, three hundred thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 29 30 33 45 54 55 58 66 87 90 99 110 135 145 165 174 198 261 270 290 297 319 330 435 495 522 594 638 783 870 957 990 1305 1485 1566 1595 1914 2610 2871 2970 3190 3915 4785 5742 7830 8613 9570 14355 17226 28710 43065 86130 1524571 3049142 4573713 7622855 9147426 13721139 15245710 16770281 22868565 27442278 33540562 41163417 44212559 45737130 50310843 68605695 82326834 83851405 88425118 100621686 132637677 137211390 150932529 167702810 205817085 221062795 251554215 265275354 301865058 397913031 411634170 442125590 452797587 486338149 503108430 663188385 754662645 795826062 905595174 972676298 1193739093 1326376770 1459014447 1509325290 1989565155 2263987935 2387478186 2431690745 2918028894 3979130310 4377043341 4527975870 4863381490 5968695465 7295072235 8754086682 11937390930 13131130023 14590144470 21885216705 26262260046 43770433410 65655650115 131311300230