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211330020321 = 32712343271769
BaseRepresentation
bin1100010011010001000…
…0000011001111100001
3202012110221201100111200
43010310100003033201
511430300441122241
6241030023431413
721160645351140
oct3046420031741
9665427640450
10211330020321
1181696318162
1234b59bb5569
1316c0b725904
14a32ab3b757
15576cea24b6
hex31344033e1

211330020321 has 24 divisors (see below), whose sum is σ = 348891803520. Its totient is φ = 120749783616.

The previous prime is 211330020311. The next prime is 211330020329. The reversal of 211330020321 is 123020033112.

211330020321 is a `hidden beast` number, since 2 + 11 + 330 + 0 + 2 + 0 + 321 = 666.

It is not a de Polignac number, because 211330020321 - 26 = 211330020257 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 211330020294 and 211330020303.

It is not an unprimeable number, because it can be changed into a prime (211330020329) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 641725 + ... + 913493.

It is an arithmetic number, because the mean of its divisors is an integer number (14537158480).

Almost surely, 2211330020321 is an apocalyptic number.

211330020321 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

211330020321 is a deficient number, since it is larger than the sum of its proper divisors (137561783199).

211330020321 is a wasteful number, since it uses less digits than its factorization.

211330020321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284125 (or 284122 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 211330020321 its reverse (123020033112), we get a palindrome (334350053433).

The spelling of 211330020321 in words is "two hundred eleven billion, three hundred thirty million, twenty thousand, three hundred twenty-one".

Divisors: 1 3 7 9 21 63 12343 37029 86401 111087 259203 271769 777609 815307 1902383 2445921 5707149 17121447 3354444767 10063334301 23481113369 30190002903 70443340107 211330020321