Search a number
-
+
1022021000221 = 1319193120117851
BaseRepresentation
bin11101101111101010011…
…00101101110000011101
310121201000101211010211211
432313311030231300131
5113221044334001341
62101302052544421
7133560430110604
oct16676514556035
93551011733754
101022021000221
11364489235331
121460a8922111
13754b75912a0
1437674cd2a3b
151b8b9b42181
hexedf532dc1d

1022021000221 has 32 divisors (see below), whose sum is σ = 1165604209280. Its totient is φ = 888330240000.

The previous prime is 1022021000213. The next prime is 1022021000227. The reversal of 1022021000221 is 1220001202201.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1022021000221 - 23 = 1022021000213 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022021000227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57243946 + ... + 57261796.

It is an arithmetic number, because the mean of its divisors is an integer number (36425131540).

Almost surely, 21022021000221 is an apocalyptic number.

It is an amenable number.

1022021000221 is a deficient number, since it is larger than the sum of its proper divisors (143583209059).

1022021000221 is a wasteful number, since it uses less digits than its factorization.

1022021000221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19277.

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

Adding to 1022021000221 its reverse (1220001202201), we get a palindrome (2242022202422).

The spelling of 1022021000221 in words is "one trillion, twenty-two billion, twenty-one million, two hundred twenty-one", and thus it is an aban number.

Divisors: 1 13 19 193 247 1201 2509 3667 15613 17851 22819 47671 231793 232063 296647 339169 3013309 3445243 4404067 4409197 21439051 44788159 57252871 65459617 278707663 407341969 850975021 4137736843 5295445597 53790578959 78617000017 1022021000221