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212312212131 = 3187423377599
BaseRepresentation
bin1100010110111011001…
…0110100001010100011
3202022000101212212101010
43011232302310022203
511434303411242011
6241311311312003
721224203012125
oct3055662641243
9668011785333
10212312212131
118204a788428
1235192b1b603
13170370691b6
14a3c1371215
1557c93171a6
hex316ecb42a3

212312212131 has 8 divisors (see below), whose sum is σ = 283085209600. Its totient is φ = 141540344712.

The previous prime is 212312212103. The next prime is 212312212187. The reversal of 212312212131 is 131212213212.

212312212131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2k-212312212131 is a prime.

It is a super-3 number, since 3×2123122121313 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 212312212098 and 212312212107.

It is not an unprimeable number, because it can be changed into a prime (212312211131) 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 7 ways as a sum of consecutive naturals, for example, 373470 + ... + 751068.

It is an arithmetic number, because the mean of its divisors is an integer number (35385651200).

Almost surely, 2212312212131 is an apocalyptic number.

212312212131 is a deficient number, since it is larger than the sum of its proper divisors (70772997469).

212312212131 is a wasteful number, since it uses less digits than its factorization.

212312212131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565025.

The product of its digits is 288, while the sum is 21.

Adding to 212312212131 its reverse (131212213212), we get a palindrome (343524425343).

The spelling of 212312212131 in words is "two hundred twelve billion, three hundred twelve million, two hundred twelve thousand, one hundred thirty-one".

Divisors: 1 3 187423 377599 562269 1132797 70770737377 212312212131