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131206761 = 3273192237
BaseRepresentation
bin1111101001000…
…00111001101001
3100010212222211200
413310200321221
5232042104021
621004114413
73152145000
oct764407151
9303788750
10131206761
1168076644
1237b35a09
132124bb4a
14135d5c37
15b7bb126
hex7d20e69

131206761 has 48 divisors (see below), whose sum is σ = 232752000. Its totient is φ = 70997472.

The previous prime is 131206741. The next prime is 131206771. The reversal of 131206761 is 167602131.

It is not a de Polignac number, because 131206761 - 29 = 131206249 is a prime.

It is a super-2 number, since 2×1312067612 = 34430428264222242, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (131206711) 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, 57535 + ... + 59771.

It is an arithmetic number, because the mean of its divisors is an integer number (4849000).

Almost surely, 2131206761 is an apocalyptic number.

It is an amenable number.

131206761 is a deficient number, since it is larger than the sum of its proper divisors (101545239).

131206761 is a wasteful number, since it uses less digits than its factorization.

131206761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2283 (or 2266 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 131206761 is about 11454.5519772709. The cubic root of 131206761 is about 508.1423653420.

Adding to 131206761 its reverse (167602131), we get a palindrome (298808892).

It can be divided in two parts, 13120 and 6761, that added together give a square (19881 = 1412).

The spelling of 131206761 in words is "one hundred thirty-one million, two hundred six thousand, seven hundred sixty-one".

Divisors: 1 3 7 9 19 21 49 57 63 133 147 171 343 399 441 931 1029 1197 2237 2793 3087 6517 6711 8379 15659 19551 20133 42503 46977 58653 109613 127509 140931 297521 328839 382527 767291 892563 986517 2082647 2301873 2677689 6247941 6905619 14578529 18743823 43735587 131206761