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10022222001 = 311267412081
BaseRepresentation
bin10010101010101111…
…01111100010110001
3221212110120121222110
421111113233202301
5131011142101001
64334254555533
7503234324061
oct112527574261
927773517873
1010022222001
114283312800
121b38508ba9
13c3949b09c
146b10a93a1
153d9cec3d6
hex2555ef8b1

10022222001 has 24 divisors (see below), whose sum is σ = 14907478432. Its totient is φ = 5983401600.

The previous prime is 10022221997. The next prime is 10022222051.

10022222001 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10022222001 - 22 = 10022221997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10022222051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 181720 + ... + 230361.

Almost surely, 210022222001 is an apocalyptic number.

10022222001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10022222001 is a deficient number, since it is larger than the sum of its proper divisors (4885256431).

10022222001 is a wasteful number, since it uses less digits than its factorization.

10022222001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412173 (or 412162 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The spelling of 10022222001 in words is "ten billion, twenty-two million, two hundred twenty-two thousand, one".

Divisors: 1 3 11 33 67 121 201 363 737 2211 8107 24321 412081 1236243 4532891 13598673 27609427 49861801 82828281 149585403 303703697 911111091 3340740667 10022222001