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211431433331 = 3753613135647
BaseRepresentation
bin1100010011101001001…
…0111010010001110011
3202012202000112200000002
43010322102322101303
511431002421331311
6241044045220215
721163316346656
oct3047222722163
9665660480002
10211431433331
1181738594268
1234b87b6166b
1316c26742601
14a33a3b989d
155776d3593b
hex313a4ba473

211431433331 has 32 divisors (see below), whose sum is σ = 225628201728. Its totient is φ = 197857520640.

The previous prime is 211431433319. The next prime is 211431433357. The reversal of 211431433331 is 133334134112.

211431433331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 211431433331 - 218 = 211431171187 is a prime.

It is a super-2 number, since 2×2114314333312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 211431433294 and 211431433303.

It is not an unprimeable number, because it can be changed into a prime (211431433231) 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 31 ways as a sum of consecutive naturals, for example, 37438550 + ... + 37444196.

It is an arithmetic number, because the mean of its divisors is an integer number (7050881304).

Almost surely, 2211431433331 is an apocalyptic number.

211431433331 is a deficient number, since it is larger than the sum of its proper divisors (14196768397).

211431433331 is a wasteful number, since it uses less digits than its factorization.

211431433331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6111.

The product of its digits is 7776, while the sum is 29.

Adding to 211431433331 its reverse (133334134112), we get a palindrome (344765567443).

The spelling of 211431433331 in words is "two hundred eleven billion, four hundred thirty-one million, four hundred thirty-three thousand, three hundred thirty-one".

Divisors: 1 37 53 61 313 1961 2257 3233 5647 11581 16589 19093 119621 208939 299291 344467 613793 706441 1011929 1767511 11073767 12745279 18256751 37441373 65397907 93678083 107818171 675499787 3466089071 3989272327 5714363063 211431433331