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211023333223231 = 5416532274126267
BaseRepresentation
bin101111111110110010110010…
…110100001110101100111111
31000200011122002220212021210211
4233332302302310032230333
5210124401241301120411
62024450440405013251
762306634626602054
oct5776626264165477
91020148086767724
10211023333223231
1161269547268221
121b80189b3b4227
139099551802ca9
143a1782602902b
15195e303e2b221
hexbfecb2d0eb3f

211023333223231 has 16 divisors (see below), whose sum is σ = 211754524072608. Its totient is φ = 210293454787200.

The previous prime is 211023333223211. The next prime is 211023333223247. The reversal of 211023333223231 is 132322333320112.

It is a cyclic number.

It is not a de Polignac number, because 211023333223231 - 27 = 211023333223103 is a prime.

It is a super-2 number, since 2×2110233332232312 (a number of 29 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 = 211023333223193 and 211023333223202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211023333223211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8033768160 + ... + 8033794426.

It is an arithmetic number, because the mean of its divisors is an integer number (13234657754538).

Almost surely, 2211023333223231 is an apocalyptic number.

211023333223231 is a deficient number, since it is larger than the sum of its proper divisors (731190849377).

211023333223231 is a wasteful number, since it uses less digits than its factorization.

211023333223231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50202.

The product of its (nonzero) digits is 23328, while the sum is 31.

Adding to 211023333223231 its reverse (132322333320112), we get a palindrome (343345666543343).

The spelling of 211023333223231 in words is "two hundred eleven trillion, twenty-three billion, three hundred thirty-three million, two hundred twenty-three thousand, two hundred thirty-one".

Divisors: 1 541 653 22741 26267 353273 12302881 14210447 14849873 17152351 597337847 8033781293 9279421891 323159775227 390061614091 211023333223231