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10020002211 = 3685916001
BaseRepresentation
bin10010101010011110…
…10001100110100011
3221212022101212000000
421111033101212203
5131010110032321
64334135231043
7503206420302
oct112517214643
927768355000
1010020002211
114282036a6a
121b37818483
13c38ba18bb
146b0a8c439
153d9a0e826
hex2553d19a3

10020002211 has 28 divisors (see below), whose sum is σ = 15041559960. Its totient is φ = 6671808000.

The previous prime is 10020002197. The next prime is 10020002219. The reversal of 10020002211 is 11220002001.

10020002211 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 10020002211 - 218 = 10019740067 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10020002193 and 10020002202.

It is not an unprimeable number, because it can be changed into a prime (10020002219) 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 27 ways as a sum of consecutive naturals, for example, 618211 + ... + 634211.

It is an arithmetic number, because the mean of its divisors is an integer number (537198570).

Almost surely, 210020002211 is an apocalyptic number.

10020002211 is a deficient number, since it is larger than the sum of its proper divisors (5021557749).

10020002211 is an frugal number, since it uses more digits than its factorization.

10020002211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16878 (or 16863 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10020002211 its reverse (11220002001), we get a palindrome (21240004212).

The spelling of 10020002211 in words is "ten billion, twenty million, two thousand, two hundred eleven".

Divisors: 1 3 9 27 81 243 729 859 2577 7731 16001 23193 48003 69579 144009 208737 432027 626211 1296081 3888243 11664729 13744859 41234577 123703731 371111193 1113333579 3340000737 10020002211