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131330632461 = 3723768335353
BaseRepresentation
bin111101001001111101…
…0100110101100001101
3110112222122202101012120
41322103322212230031
54122431120214321
6140155451123153
712326331646200
oct1722372465415
9415878671176
10131330632461
1150773799a86
12215524434b9
13c4cc776612
1464dc0c1937
153639aa4ec6
hex1e93ea6b0d

131330632461 has 48 divisors (see below), whose sum is σ = 209514026304. Its totient is φ = 72908833536.

The previous prime is 131330632453. The next prime is 131330632483. The reversal of 131330632461 is 164236033131.

It is not a de Polignac number, because 131330632461 - 23 = 131330632453 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131330632441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3697161 + ... + 3732513.

It is an arithmetic number, because the mean of its divisors is an integer number (4364875548).

Almost surely, 2131330632461 is an apocalyptic number.

It is an amenable number.

131330632461 is a deficient number, since it is larger than the sum of its proper divisors (78183393843).

131330632461 is a wasteful number, since it uses less digits than its factorization.

131330632461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36090 (or 36083 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 33.

Adding to 131330632461 its reverse (164236033131), we get a palindrome (295566665592).

The spelling of 131330632461 in words is "one hundred thirty-one billion, three hundred thirty million, six hundred thirty-two thousand, four hundred sixty-one".

Divisors: 1 3 7 21 37 49 111 147 259 683 777 1813 2049 4781 5439 14343 25271 33467 35353 75813 100401 106059 176897 247471 530691 742413 1238279 1308061 1732297 3714837 3924183 5196891 9156427 24146099 27469281 64094989 72438297 169022693 192284967 507068079 893405663 1183158851 2680216989 3549476553 6253839641 18761518923 43776877487 131330632461