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12101331 = 3112173753
BaseRepresentation
bin101110001010…
…011011010011
3211202210220110
4232022123103
511044220311
61111212403
7204600564
oct56123323
924683813
1012101331
116915a00
124077103
132679168
14187016b
1510e08a6
hexb8a6d3

12101331 has 48 divisors (see below), whose sum is σ = 19649952. Its totient is φ = 6589440.

The previous prime is 12101329. The next prime is 12101357. The reversal of 12101331 is 13310121.

It is not a de Polignac number, because 12101331 - 21 = 12101329 is a prime.

It is a super-2 number, since 2×121013312 = 292884423943122, which contains 22 as substring.

12101331 is a modest number, since divided by 1331 gives 1210 as remainder.

It is not an unprimeable number, because it can be changed into a prime (12101731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 228301 + ... + 228353.

It is an arithmetic number, because the mean of its divisors is an integer number (409374).

Almost surely, 212101331 is an apocalyptic number.

12101331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12101331 is a deficient number, since it is larger than the sum of its proper divisors (7548621).

12101331 is a wasteful number, since it uses less digits than its factorization.

12101331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 12101331 is about 3478.6967387227. The cubic root of 12101331 is about 229.5854599828.

Adding to 12101331 its reverse (13310121), we get a palindrome (25411452).

The spelling of 12101331 in words is "twelve million, one hundred one thousand, three hundred thirty-one".

Divisors: 1 3 11 17 33 37 51 53 111 121 159 187 363 407 561 583 629 901 1221 1749 1887 1961 2057 2703 4477 5883 6171 6413 6919 9911 13431 19239 20757 21571 29733 33337 64713 76109 100011 109021 228327 237281 327063 366707 711843 1100121 4033777 12101331