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211132012322 = 272112953791613
BaseRepresentation
bin1100010010100001110…
…0101101011100100010
3202011222011010111121002
43010220130231130202
511424344243343242
6240554231432002
721153022331300
oct3045034553442
9664864114532
10211132012322
11815a4575890
1234b03825602
1316ba96b820a
14a30c717270
15575a8dd432
hex312872d722

211132012322 has 192 divisors, whose sum is σ = 429225868800. Its totient is φ = 76890078720.

The previous prime is 211132012321. The next prime is 211132012393. The reversal of 211132012322 is 223210231112.

It is a junction number, because it is equal to n+sod(n) for n = 211132012294 and 211132012303.

It is not an unprimeable number, because it can be changed into a prime (211132012321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 130893188 + ... + 130894800.

It is an arithmetic number, because the mean of its divisors is an integer number (2235551400).

Almost surely, 2211132012322 is an apocalyptic number.

211132012322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

211132012322 is an abundant number, since it is smaller than the sum of its proper divisors (218093856478).

211132012322 is a wasteful number, since it uses less digits than its factorization.

211132012322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1801 (or 1794 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 211132012322 its reverse (223210231112), we get a palindrome (434342243434).

The spelling of 211132012322 in words is "two hundred eleven billion, one hundred thirty-two million, twelve thousand, three hundred twenty-two".