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131133033331 = 17163124937889
BaseRepresentation
bin111101000100000100…
…0110100101101110011
3110112110212221022011021
41322020020310231303
54122030024031311
6140124112000311
712321412251346
oct1721010645563
9415425838137
10131133033331
11506821a6913
12214b8230097
13c49a850061
1464bdb6645d
153627572171
hex1e88234b73

131133033331 has 16 divisors (see below), whose sum is σ = 139814100000. Its totient is φ = 122560708608.

The previous prime is 131133033329. The next prime is 131133033397. The reversal of 131133033331 is 133330331131.

It is a cyclic number.

It is not a de Polignac number, because 131133033331 - 21 = 131133033329 is a prime.

It is a super-2 number, since 2×1311330333312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131133033296 and 131133033305.

It is not an unprimeable number, because it can be changed into a prime (131133030331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3442035 + ... + 3479923.

It is an arithmetic number, because the mean of its divisors is an integer number (8738381250).

Almost surely, 2131133033331 is an apocalyptic number.

131133033331 is a deficient number, since it is larger than the sum of its proper divisors (8681066669).

131133033331 is a wasteful number, since it uses less digits than its factorization.

131133033331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39318.

The product of its (nonzero) digits is 2187, while the sum is 25.

Adding to 131133033331 its reverse (133330331131), we get a palindrome (264463364462).

The spelling of 131133033331 in words is "one hundred thirty-one billion, one hundred thirty-three million, thirty-three thousand, three hundred thirty-one".

Divisors: 1 17 163 1249 2771 21233 37889 203587 644113 3460979 6175907 47323361 104990419 804497137 7713707843 131133033331