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131330630333 = 7596183181347
BaseRepresentation
bin111101001001111101…
…0100110001010111101
3110112222122202021021202
41322103322212022331
54122431120132313
6140155451105245
712326331640040
oct1722372461275
9415878667252
10131330630333
1150773798421
1221552442225
13c4cc775666
1464dc0c0c57
153639aa4558
hex1e93ea62bd

131330630333 has 64 divisors (see below), whose sum is σ = 158329866240. Its totient is φ = 106633324800.

The previous prime is 131330630329. The next prime is 131330630393. The reversal of 131330630333 is 333036033131.

It is a cyclic number.

It is not a de Polignac number, because 131330630333 - 22 = 131330630329 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131330630296 and 131330630305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131330630393) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 378474266 + ... + 378474612.

It is an arithmetic number, because the mean of its divisors is an integer number (2473904160).

Almost surely, 2131330630333 is an apocalyptic number.

It is an amenable number.

131330630333 is a deficient number, since it is larger than the sum of its proper divisors (26999235907).

131330630333 is a wasteful number, since it uses less digits than its factorization.

131330630333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738.

The product of its (nonzero) digits is 13122, while the sum is 29.

Adding to 131330630333 its reverse (333036033131), we get a palindrome (464366663464).

The spelling of 131330630333 in words is "one hundred thirty-one billion, three hundred thirty million, six hundred thirty thousand, three hundred thirty-three".

Divisors: 1 7 59 61 83 181 347 413 427 581 1267 2429 3599 4897 5063 10679 11041 15023 20473 21167 25193 28801 34279 35441 62807 74753 77287 105161 143311 148169 201607 298717 439649 651419 886357 916403 1248853 1699259 1756861 2091019 3705613 3831227 4559933 5212981 6204499 6414821 8741971 11894813 12298027 25939291 26818589 36490867 54067777 103654799 226042393 307565879 317991841 378474439 725583593 1582296751 2152961153 2225942887 18761518619 131330630333