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211341402321 = 3731978133191
BaseRepresentation
bin1100010011010011101…
…1011110000011010001
3202012111202010121200020
43010310323132003101
511430311344333241
6241031111414053
721161144164620
oct3046473360321
9665452117606
10211341402321
11816a1791675
1234b61984329
1316c10bac51a
14a32c4616b7
15576de9eb66
hex3134ede0d1

211341402321 has 32 divisors (see below), whose sum is σ = 332476563456. Its totient is φ = 116855352000.

The previous prime is 211341402289. The next prime is 211341402331. The reversal of 211341402321 is 123204143112.

211341402321 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 211341402321 - 25 = 211341402289 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 211341402291 and 211341402300.

It is not an unprimeable number, because it can be changed into a prime (211341402331) 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, 6350836 + ... + 6384026.

It is an arithmetic number, because the mean of its divisors is an integer number (10389892608).

Almost surely, 2211341402321 is an apocalyptic number.

211341402321 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

211341402321 is a deficient number, since it is larger than the sum of its proper divisors (121135161135).

211341402321 is a wasteful number, since it uses less digits than its factorization.

211341402321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43013.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 211341402321 its reverse (123204143112), we get a palindrome (334545545433).

The spelling of 211341402321 in words is "two hundred eleven billion, three hundred forty-one million, four hundred two thousand, three hundred twenty-one".

Divisors: 1 3 7 21 31 93 217 651 9781 29343 33191 68467 99573 205401 232337 303211 697011 909633 1028921 2122477 3086763 6367431 7202447 21607341 324641171 973923513 2272488197 6817464591 10063876301 30191628903 70447134107 211341402321