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131323030201332 = 2232139914231832381
BaseRepresentation
bin11101110111000000000110…
…100100001110001111110100
3122012222100200202202012000200
4131313000012210032033310
5114203044031212420312
61143144544530440500
736442530052650234
oct3567000644161764
9565870622665020
10131323030201332
1138930869a67562
121288b349133130
135837929a84298
1424600d6257cc4
15102b0302970dc
hex77700690e3f4

131323030201332 has 72 divisors (see below), whose sum is σ = 332426344723200. Its totient is φ = 43712289783360.

The previous prime is 131323030201303. The next prime is 131323030201333. The reversal of 131323030201332 is 233102030323131.

131323030201332 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 2 + 303 + 0 + 20 + 1 + 332 = 666.

It is a super-2 number, since 2×1313230302013322 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131323030201296 and 131323030201305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131323030201333) 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 23 ways as a sum of consecutive naturals, for example, 70751782 + ... + 72584162.

It is an arithmetic number, because the mean of its divisors is an integer number (4617032565600).

Almost surely, 2131323030201332 is an apocalyptic number.

131323030201332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131323030201332 is an abundant number, since it is smaller than the sum of its proper divisors (201103314521868).

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

131323030201332 is a wasteful number, since it uses less digits than its factorization.

131323030201332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1835213 (or 1835208 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 131323030201332 its reverse (233102030323131), we get a palindrome (364425060524463).

The spelling of 131323030201332 in words is "one hundred thirty-one trillion, three hundred twenty-three billion, thirty million, two hundred one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 1399 1423 2798 2846 4197 4269 5596 5692 8394 8538 12591 12807 16788 17076 25182 25614 50364 51228 1832381 1990777 3664762 3981554 5497143 5972331 7329524 7963108 10994286 11944662 16491429 17916993 21988572 23889324 32982858 35833986 65965716 71667972 2563501019 2607478163 5127002038 5214956326 7690503057 7822434489 10254004076 10429912652 15381006114 15644868978 23071509171 23467303467 30762012228 31289737956 46143018342 46934606934 92286036684 93869213868 3647861950037 7295723900074 10943585850111 14591447800148 21887171700222 32830757550333 43774343400444 65661515100666 131323030201332