Search a number
-
+
1022211122201 = 1990075973197
BaseRepresentation
bin11101110000000001000…
…01111110010000011001
310121201111122120100011122
432320000201332100121
5113221442021402301
62101333003535025
7133565226114233
oct16700041762031
93551448510148
101022211122201
11364576590835
1214614052a475
1375517a9a3b9
1437692263253
151b8cb69981b
hexee0087e419

1022211122201 has 8 divisors (see below), whose sum is σ = 1076131351680. Its totient is φ = 968302857168.

The previous prime is 1022211122167. The next prime is 1022211122209.

1022211122201 is nontrivially palindromic in base 10.

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

It is not a de Polignac number, because 1022211122201 - 222 = 1022206927897 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1022211122201.

It is not an unprimeable number, because it can be changed into a prime (1022211122209) 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, 2815466 + ... + 3157731.

It is an arithmetic number, because the mean of its divisors is an integer number (134516418960).

Almost surely, 21022211122201 is an apocalyptic number.

It is an amenable number.

1022211122201 is a deficient number, since it is larger than the sum of its proper divisors (53920229479).

1022211122201 is an equidigital number, since it uses as much as digits as its factorization.

1022211122201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5982223.

The product of its (nonzero) digits is 64, while the sum is 17.

The spelling of 1022211122201 in words is "one trillion, twenty-two billion, two hundred eleven million, one hundred twenty-two thousand, two hundred one".

Divisors: 1 19 9007 171133 5973197 113490743 53800585379 1022211122201