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1022210101001 = 6737092142293
BaseRepresentation
bin11101110000000000111…
…10000100111100001001
310121201111120122110100102
432320000132010330021
5113221441241213001
62101332530015145
7133565214332045
oct16700036047411
93551446573312
101022210101001
11364575a53571
121461401174b5
137551780063b
1437692079025
151b8cb546e6b
hexee00784f09

1022210101001 has 8 divisors (see below), whose sum is σ = 1025173370760. Its totient is φ = 1019251118592.

The previous prime is 1022210100883. The next prime is 1022210101007. The reversal of 1022210101001 is 1001010122201.

It can be written as a sum of positive squares in 4 ways, for example, as 81610776976 + 940599324025 = 285676^2 + 969845^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1022210101001 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1022210101007) 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, 593990 + ... + 1548303.

It is an arithmetic number, because the mean of its divisors is an integer number (128146671345).

Almost surely, 21022210101001 is an apocalyptic number.

It is an amenable number.

1022210101001 is a deficient number, since it is larger than the sum of its proper divisors (2963269759).

1022210101001 is an equidigital number, since it uses as much as digits as its factorization.

1022210101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2143675.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1022210101001 its reverse (1001010122201), we get a palindrome (2023220223202).

It can be divided in two parts, 1022210 and 101001, that added together give a palindrome (1123211).

The spelling of 1022210101001 in words is "one trillion, twenty-two billion, two hundred ten million, one hundred one thousand, one".

Divisors: 1 673 709 477157 2142293 1441763189 1518885737 1022210101001