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1010202220001 = 13210755864747
BaseRepresentation
bin11101011001101001011…
…11101001010111100001
310120120111201200220022002
432230310233221113201
5113022343232020001
62052025215253345
7132661516122452
oct16546457512741
93516451626262
101010202220001
1135a4738a9877
1214394a81a255
1374352b39900
1436c733a9129
151b42726b46b
hexeb34be95e1

1010202220001 has 12 divisors (see below), whose sum is σ = 1104110879472. Its totient is φ = 923779439856.

The previous prime is 1010202219841. The next prime is 1010202220007. The reversal of 1010202220001 is 1000222020101.

It is a happy number.

It is not a de Polignac number, because 1010202220001 - 230 = 1009128478177 is a prime.

It is a super-4 number, since 4×10102022200014 (a number of 49 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1010202220007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27914291 + ... + 27950456.

It is an arithmetic number, because the mean of its divisors is an integer number (92009239956).

Almost surely, 21010202220001 is an apocalyptic number.

It is an amenable number.

1010202220001 is a deficient number, since it is larger than the sum of its proper divisors (93908659471).

1010202220001 is a wasteful number, since it uses less digits than its factorization.

1010202220001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55864880 (or 55864867 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1010202220001 its reverse (1000222020101), we get a palindrome (2010424240102).

The spelling of 1010202220001 in words is "one trillion, ten billion, two hundred two million, two hundred twenty thousand, one".

Divisors: 1 13 107 169 1391 18083 55864747 726241711 5977527929 9441142243 77707863077 1010202220001