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211322441331 = 32171381192427
BaseRepresentation
bin1100010011001111001…
…1001000111001110011
3202012110102110022002100
43010303303020321303
511430242021110311
6241025153151443
721160524054021
oct3046363107163
9665412408070
10211322441331
1181692010a31
1234b5755b583
1316c09ca0cc1
14a329b27711
15576c4a6a56
hex3133cc8e73

211322441331 has 12 divisors (see below), whose sum is σ = 323199028152. Its totient is φ = 132594472896.

The previous prime is 211322441311. The next prime is 211322441339. The reversal of 211322441331 is 133144223112.

211322441331 is a `hidden beast` number, since 2 + 1 + 1 + 322 + 4 + 4 + 1 + 331 = 666.

It is not a de Polignac number, because 211322441331 - 222 = 211318247027 is a prime.

It is a super-2 number, since 2×2113224413312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211322441295 and 211322441304.

It is not an unprimeable number, because it can be changed into a prime (211322441339) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 690596061 + ... + 690596366.

It is an arithmetic number, because the mean of its divisors is an integer number (26933252346).

Almost surely, 2211322441331 is an apocalyptic number.

211322441331 is a deficient number, since it is larger than the sum of its proper divisors (111876586821).

211322441331 is a wasteful number, since it uses less digits than its factorization.

211322441331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1381192450 (or 1381192447 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 211322441331 its reverse (133144223112), we get a palindrome (344466664443).

It can be divided in two parts, 211322 and 441331, that added together give a triangular number (652653 = T1142).

The spelling of 211322441331 in words is "two hundred eleven billion, three hundred twenty-two million, four hundred forty-one thousand, three hundred thirty-one".

Divisors: 1 3 9 17 51 153 1381192427 4143577281 12430731843 23480271259 70440813777 211322441331