Search a number
-
+
211211021021 = 71113211000021
BaseRepresentation
bin1100010010110100101…
…0000110101011011101
3202012011122210120011012
43010231022012223131
511430030010133041
6241010133105005
721155002025330
oct3045512065335
9665148716135
10211211021021
118163512a230
1234b26188165
1316bbcb8c320
14a319002617
1557627e83eb
hex312d286add

211211021021 has 16 divisors (see below), whose sum is σ = 283584029568. Its totient is φ = 151920014400.

The previous prime is 211211020991. The next prime is 211211021027. The reversal of 211211021021 is 120120112112.

211211021021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-211211021021 is a prime.

It is a super-2 number, since 2×2112110210212 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211211020987 and 211211021005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211211021027) 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, 105499010 + ... + 105501011.

It is an arithmetic number, because the mean of its divisors is an integer number (17724001848).

Almost surely, 2211211021021 is an apocalyptic number.

It is an amenable number.

211211021021 is a deficient number, since it is larger than the sum of its proper divisors (72373008547).

211211021021 is a wasteful number, since it uses less digits than its factorization.

211211021021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211000052.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 211211021021 its reverse (120120112112), we get a palindrome (331331133133).

The spelling of 211211021021 in words is "two hundred eleven billion, two hundred eleven million, twenty-one thousand, twenty-one".

Divisors: 1 7 11 13 77 91 143 1001 211000021 1477000147 2321000231 2743000273 16247001617 19201001911 30173003003 211211021021