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131155430441 = 7104920298803
BaseRepresentation
bin111101000100101111…
…0010000110000101001
3110112112110002012012212
41322021132100300221
54122101242233231
6140130232014505
712322103523140
oct1721136206051
9415473065185
10131155430441
1150693904122
1221503831435
13c4a2392599
1464c2b16757
1536294e842b
hex1e89790c29

131155430441 has 16 divisors (see below), whose sum is σ = 150125808000. Its totient is φ = 112243667328.

The previous prime is 131155430387. The next prime is 131155430477. The reversal of 131155430441 is 144034551131.

It is a cyclic number.

It is not a de Polignac number, because 131155430441 - 222 = 131151236137 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131155430398 and 131155430407.

It is not an unprimeable number, because it can be changed into a prime (131155430041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14894546 + ... + 14903348.

It is an arithmetic number, because the mean of its divisors is an integer number (9382863000).

Almost surely, 2131155430441 is an apocalyptic number.

It is an amenable number.

131155430441 is a deficient number, since it is larger than the sum of its proper divisors (18970377559).

131155430441 is a wasteful number, since it uses less digits than its factorization.

131155430441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11888.

The product of its (nonzero) digits is 14400, while the sum is 32.

Adding to 131155430441 its reverse (144034551131), we get a palindrome (275189981572).

The spelling of 131155430441 in words is "one hundred thirty-one billion, one hundred fifty-five million, four hundred thirty thousand, four hundred forty-one".

Divisors: 1 7 1049 2029 7343 8803 14203 61621 2128421 9234347 14898947 17861287 64640429 125029009 18736490063 131155430441