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131144130033 = 37247711012647
BaseRepresentation
bin111101000100011001…
…1001001110111110001
3110112111122211001222020
41322020303021313301
54122040344130113
6140125145502053
712321605466300
oct1721063116761
9415448731866
10131144130033
1150688495a44
12214bbaa1929
13c49cc36b57
1464c1414437
153628515023
hex1e88cc9df1

131144130033 has 96 divisors (see below), whose sum is σ = 212827004928. Its totient is φ = 71569008000.

The previous prime is 131144129993. The next prime is 131144130037. The reversal of 131144130033 is 330031441131.

It is not a de Polignac number, because 131144130033 - 26 = 131144129969 is a prime.

It is a super-2 number, since 2×1311441300332 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131144129985 and 131144130012.

It is not an unprimeable number, because it can be changed into a prime (131144130037) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49543116 + ... + 49545762.

It is an arithmetic number, because the mean of its divisors is an integer number (2216947968).

Almost surely, 2131144130033 is an apocalyptic number.

It is an amenable number.

131144130033 is a deficient number, since it is larger than the sum of its proper divisors (81682874895).

131144130033 is a wasteful number, since it uses less digits than its factorization.

131144130033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2883 (or 2876 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 131144130033 its reverse (330031441131), we get a palindrome (461175571164).

The spelling of 131144130033 in words is "one hundred thirty-one billion, one hundred forty-four million, one hundred thirty thousand, thirty-three".

Divisors: 1 3 7 21 47 49 71 101 141 147 213 303 329 497 707 987 1491 2121 2303 2647 3337 3479 4747 4949 6909 7171 7941 10011 10437 14241 14847 18529 21513 23359 33229 50197 55587 70077 99687 124409 129703 150591 163513 187937 232603 267347 337037 351379 373227 389109 490539 563811 697809 802041 870863 1011111 1054137 1315559 1871429 2359259 2612589 3946677 5614287 6096041 7077777 8833039 9208913 12565309 13100003 16514813 18288123 18981637 26499117 27626739 37695927 39300009 49544439 56944911 61831273 87957163 132871459 185493819 263871489 398614377 432818911 615700141 892136939 930100213 1298456733 1847100423 2676410817 2790300639 6244958573 18734875719 43714710011 131144130033