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10222211021 = 112833283717
BaseRepresentation
bin10011000010100101…
…01000111111001101
3222101101220010100012
421201102220333031
5131413341223041
64410201243005
7511213234331
oct114122507715
928341803305
1010222211021
114376198490
121b93493465
13c6ba50399
146cd8877c1
153ec6533eb
hex2614a8fcd

10222211021 has 8 divisors (see below), whose sum is σ = 11190910944. Its totient is φ = 9260079120.

The previous prime is 10222211009. The next prime is 10222211039. The reversal of 10222211021 is 12011222201.

10222211021 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 10222211021 - 214 = 10222194637 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10222210987 and 10222211005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10222211221) 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, 1638746 + ... + 1644971.

It is an arithmetic number, because the mean of its divisors is an integer number (1398863868).

Almost surely, 210222211021 is an apocalyptic number.

10222211021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10222211021 is a deficient number, since it is larger than the sum of its proper divisors (968699923).

10222211021 is a wasteful number, since it uses less digits than its factorization.

10222211021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3284011.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10222211021 its reverse (12011222201), we get a palindrome (22233433222).

The spelling of 10222211021 in words is "ten billion, two hundred twenty-two million, two hundred eleven thousand, twenty-one".

Divisors: 1 11 283 3113 3283717 36120887 929291911 10222211021