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131332201 = 72111318743
BaseRepresentation
bin1111101001111…
…11100001101001
3100011010100220121
413310333201221
5232110112301
621010523241
73153206500
oct764774151
9304110817
10131332201
1168151910
1237b96521
1321293c80
1413629837
15b7e33a1
hex7d3f869

131332201 has 24 divisors (see below), whose sum is σ = 179492544. Its totient is φ = 94459680.

The previous prime is 131332177. The next prime is 131332211. The reversal of 131332201 is 102233131.

It is not a de Polignac number, because 131332201 - 29 = 131331689 is a prime.

It is a super-3 number, since 3×1313322013 (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (131332211) 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 23 ways as a sum of consecutive naturals, for example, 2365 + ... + 16378.

It is an arithmetic number, because the mean of its divisors is an integer number (7478856).

Almost surely, 2131332201 is an apocalyptic number.

131332201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131332201 is a deficient number, since it is larger than the sum of its proper divisors (48160343).

131332201 is a wasteful number, since it uses less digits than its factorization.

131332201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18781 (or 18774 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 131332201 is about 11460.0262216105. The cubic root of 131332201 is about 508.3042499769.

Adding to 131332201 its reverse (102233131), we get a palindrome (233565332).

The spelling of 131332201 in words is "one hundred thirty-one million, three hundred thirty-two thousand, two hundred one".

Divisors: 1 7 11 13 49 77 91 143 539 637 1001 7007 18743 131201 206173 243659 918407 1443211 1705613 2680249 10102477 11939291 18761743 131332201