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10221323331 = 315792157763
BaseRepresentation
bin10011000010011110…
…10000010001000011
3222101100020000122210
421201033100101003
5131413124321311
64410130233203
7511202546322
oct114117202103
928340200583
1010221323331
11437574155a
121b93125803
13c6b7cc31b
146cd6d60b9
153ec52a3a6
hex2613d0443

10221323331 has 8 divisors (see below), whose sum is σ = 13637068480. Its totient is φ = 6809896872.

The previous prime is 10221323327. The next prime is 10221323341. The reversal of 10221323331 is 13332312201.

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

It is not a de Polignac number, because 10221323331 - 22 = 10221323327 is a prime.

It is a super-3 number, since 3×102213233313 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10221323298 and 10221323307.

It is not an unprimeable number, because it can be changed into a prime (10221323311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1074145 + ... + 1083618.

It is an arithmetic number, because the mean of its divisors is an integer number (1704633560).

Almost surely, 210221323331 is an apocalyptic number.

10221323331 is a deficient number, since it is larger than the sum of its proper divisors (3415745149).

10221323331 is a wasteful number, since it uses less digits than its factorization.

10221323331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2159345.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 10221323331 its reverse (13332312201), we get a palindrome (23553635532).

The spelling of 10221323331 in words is "ten billion, two hundred twenty-one million, three hundred twenty-three thousand, three hundred thirty-one".

Divisors: 1 3 1579 4737 2157763 6473289 3407107777 10221323331