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10221222001 = 1712710334583
BaseRepresentation
bin10011000010011101…
…10111100001110001
3222101100000212122211
421201032313201301
5131413113101001
64410124132121
7511201645024
oct114116674161
928340025584
1010221222001
114375682411
121b93097041
13c6b795173
146cd6ab1bb
153ec50a351
hex2613b7871

10221222001 has 16 divisors (see below), whose sum is σ = 10920628224. Its totient is φ = 9532905984.

The previous prime is 10221221993. The next prime is 10221222013. The reversal of 10221222001 is 10022212201.

It is a happy number.

10221222001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10221222001 - 23 = 10221221993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10221222041) 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 15 ways as a sum of consecutive naturals, for example, 2227956 + ... + 2232538.

It is an arithmetic number, because the mean of its divisors is an integer number (682539264).

Almost surely, 210221222001 is an apocalyptic number.

It is an amenable number.

10221222001 is a deficient number, since it is larger than the sum of its proper divisors (699406223).

10221222001 is a wasteful number, since it uses less digits than its factorization.

10221222001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5760.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 10221222001 its reverse (10022212201), we get a palindrome (20243434202).

The spelling of 10221222001 in words is "ten billion, two hundred twenty-one million, two hundred twenty-two thousand, one".

Divisors: 1 17 127 1033 2159 4583 17561 77911 131191 582041 2230247 4734239 9894697 80482063 601248353 10221222001