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131423330142 = 233131761180533
BaseRepresentation
bin111101001100101110…
…0001101111101011110
3110120020010011220112000
41322121130031331132
54123123333031032
6140213002023130
712331535605626
oct1723134157536
9416203156460
10131423330142
1150811053135
12215794a7aa6
13c515a31410
14650a531886
153642cb5e7c
hex1e9970df5e

131423330142 has 128 divisors (see below), whose sum is σ = 338479585920. Its totient is φ = 37435115520.

The previous prime is 131423330141. The next prime is 131423330209. The reversal of 131423330142 is 241033324131.

It is a happy number.

131423330142 is a `hidden beast` number, since 1 + 314 + 2 + 3 + 3 + 301 + 42 = 666.

It is a super-2 number, since 2×1314233301422 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131423330141) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 637708 + ... + 818240.

It is an arithmetic number, because the mean of its divisors is an integer number (2644371765).

Almost surely, 2131423330142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131423330142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169239792960).

131423330142 is an abundant number, since it is smaller than the sum of its proper divisors (207056255778).

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

131423330142 is a wasteful number, since it uses less digits than its factorization.

131423330142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180635 (or 180629 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 131423330142 its reverse (241033324131), we get a palindrome (372456654273).

The spelling of 131423330142 in words is "one hundred thirty-one billion, four hundred twenty-three million, three hundred thirty thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 13 17 18 26 27 34 39 51 54 61 78 102 117 122 153 183 221 234 306 351 366 442 459 549 663 702 793 918 1037 1098 1326 1586 1647 1989 2074 2379 3111 3294 3978 4758 5967 6222 7137 9333 11934 13481 14274 18666 21411 26962 27999 40443 42822 55998 80886 121329 180533 242658 361066 363987 541599 727974 1083198 1624797 2346929 3069061 3249594 4693858 4874391 6138122 7040787 9207183 9748782 11012513 14081574 18414366 21122361 22025026 27621549 33037539 39897793 42244722 55243098 63367083 66075078 79795586 82864647 99112617 119693379 126734166 143162669 165729294 187212721 198225234 239386758 286325338 297337851 359080137 374425442 429488007 561638163 594675702 718160274 858976014 1077240411 1123276326 1288464021 1684914489 2154480822 2433765373 2576928042 3369828978 3865392063 4867530746 5054743467 7301296119 7730784126 10109486934 14602592238 21903888357 43807776714 65711665071 131423330142