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131211000333 = 347233058957
BaseRepresentation
bin111101000110011001…
…0001111101000001101
3110112200022122102210000
41322030302033220031
54122210004002313
6140135535034513
712323350046400
oct1721462175015
9415608572700
10131211000333
1150712209656
122151a36ba39
13c4b0a4ac8a
1464ca25dd37
15362e323673
hex1e8cc8fa0d

131211000333 has 30 divisors (see below), whose sum is σ = 228007633326. Its totient is φ = 74977712208.

The previous prime is 131211000307. The next prime is 131211000353. The reversal of 131211000333 is 333000112131.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 127194229449 + 4016770884 = 356643^2 + 63378^2 .

It is not a de Polignac number, because 131211000333 - 220 = 131209951757 is a prime.

It is a super-2 number, since 2×1312110003332 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131211000353) 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 29 ways as a sum of consecutive naturals, for example, 16525510 + ... + 16533447.

Almost surely, 2131211000333 is an apocalyptic number.

It is an amenable number.

131211000333 is a deficient number, since it is larger than the sum of its proper divisors (96796632993).

131211000333 is an equidigital number, since it uses as much as digits as its factorization.

131211000333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33058983 (or 33058967 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 131211000333 its reverse (333000112131), we get a palindrome (464211112464).

The spelling of 131211000333 in words is "one hundred thirty-one billion, two hundred eleven million, three hundred thirty-three", and thus it is an aban number.

Divisors: 1 3 7 9 21 27 49 63 81 147 189 441 567 1323 3969 33058957 99176871 231412699 297530613 694238097 892591839 1619888893 2082714291 2677775517 4859666679 6248142873 14579000037 18744428619 43737000111 131211000333