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10020221311 = 171931022357
BaseRepresentation
bin10010101010100000…
…00111000101111111
3221212022210222112211
421111100013011333
5131010134040221
64334144041251
7503211322132
oct112520070577
927768728484
1010020221311
114282176641
121b37903227
13c38c4a549
146b0b08219
153d9a546e1
hex25540717f

10020221311 has 8 divisors (see below), whose sum is σ = 11168048880. Its totient is φ = 8934438528.

The previous prime is 10020221269. The next prime is 10020221339. The reversal of 10020221311 is 11312202001.

10020221311 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10020221311 - 221 = 10018124159 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10020221291 and 10020221300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10020221011) 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 7 ways as a sum of consecutive naturals, for example, 15510856 + ... + 15511501.

It is an arithmetic number, because the mean of its divisors is an integer number (1396006110).

Almost surely, 210020221311 is an apocalyptic number.

10020221311 is a deficient number, since it is larger than the sum of its proper divisors (1147827569).

10020221311 is a wasteful number, since it uses less digits than its factorization.

10020221311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31022393.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 10020221311 its reverse (11312202001), we get a palindrome (21332423312).

The spelling of 10020221311 in words is "ten billion, twenty million, two hundred twenty-one thousand, three hundred eleven".

Divisors: 1 17 19 323 31022357 527380069 589424783 10020221311