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131212446761 = 11131769118409
BaseRepresentation
bin111101000110011011…
…1110000110000101001
3110112200102100220220102
41322030313300300221
54122210341244021
6140140030035145
712323365252364
oct1721467606051
9415612326812
10131212446761
1150713007350
122151a948ab5
13c4b1136456
1464ca5190db
15362e50c00b
hex1e8cdf0c29

131212446761 has 16 divisors (see below), whose sum is σ = 144422308800. Its totient is φ = 118218547200.

The previous prime is 131212446727. The next prime is 131212446767. The reversal of 131212446761 is 167644212131.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131212446761 is a prime.

It is a super-2 number, since 2×1312124467612 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131212446767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1048925 + ... + 1167333.

It is an arithmetic number, because the mean of its divisors is an integer number (9026394300).

Almost surely, 2131212446761 is an apocalyptic number.

131212446761 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131212446761 is a deficient number, since it is larger than the sum of its proper divisors (13209862039).

131212446761 is a wasteful number, since it uses less digits than its factorization.

131212446761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119320.

The product of its digits is 48384, while the sum is 38.

Adding to 131212446761 its reverse (167644212131), we get a palindrome (298856658892).

The spelling of 131212446761 in words is "one hundred thirty-one billion, two hundred twelve million, four hundred forty-six thousand, seven hundred sixty-one".

Divisors: 1 11 131 769 1441 8459 100739 118409 1108129 1302499 15511579 91056521 170627369 1001621731 11928404251 131212446761