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211431440001 = 3836011412849
BaseRepresentation
bin1100010011101001001…
…0111011111010000001
3202012202000120000011010
43010322102323322001
511431002422040001
6241044045311133
721163316405265
oct3047222737201
9665660500133
10211431440001
1181738599281
1234b87b654a9
1316c26745662
14a33a3bc0a5
155776d378d6
hex313a4bbe81

211431440001 has 16 divisors (see below), whose sum is σ = 285779995200. Its totient is φ = 139024243200.

The previous prime is 211431439987. The next prime is 211431440021. The reversal of 211431440001 is 100044134112.

211431440001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 211431440001 - 27 = 211431439873 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 211431440001.

It is not an unprimeable number, because it can be changed into a prime (211431440021) 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 15 ways as a sum of consecutive naturals, for example, 556776 + ... + 856073.

It is an arithmetic number, because the mean of its divisors is an integer number (17861249700).

Almost surely, 2211431440001 is an apocalyptic number.

It is an amenable number.

211431440001 is a deficient number, since it is larger than the sum of its proper divisors (74348555199).

211431440001 is a wasteful number, since it uses less digits than its factorization.

211431440001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1413536.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 211431440001 its reverse (100044134112), we get a palindrome (311475574113).

The spelling of 211431440001 in words is "two hundred eleven billion, four hundred thirty-one million, four hundred forty thousand, one".

Divisors: 1 3 83 249 601 1803 49883 149649 1412849 4238547 117266467 351799401 849122249 2547366747 70477146667 211431440001