Search a number
-
+
1022010000201 = 32113556666689
BaseRepresentation
bin11101101111101001000…
…10110000001101001001
310121200222122010021122200
432313310202300031021
5113221034030001301
62101301021110413
7133560234444561
oct16676442601511
93550878107580
101022010000201
11364483001903
121460a50b8409
13754b520c4b8
143767366bda1
151b8b8bbcc86
hexedf48b0349

1022010000201 has 6 divisors (see below), whose sum is σ = 1476236666970. Its totient is φ = 681340000128.

The previous prime is 1022010000173. The next prime is 1022010000211. The reversal of 1022010000201 is 1020000102201.

1022010000201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1006410240000 + 15599760201 = 1003200^2 + 124899^2 .

It is not a de Polignac number, because 1022010000201 - 25 = 1022010000169 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 113556666689 = 1022010000201 / (1 + 0 + 2 + 2 + 0 + 1 + 0 + 0 + 0 + 0 + 2 + 0 + 1).

It is not an unprimeable number, because it can be changed into a prime (1022010000211) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 56778333336 + ... + 56778333353.

It is an arithmetic number, because the mean of its divisors is an integer number (246039444495).

Almost surely, 21022010000201 is an apocalyptic number.

It is an amenable number.

1022010000201 is a deficient number, since it is larger than the sum of its proper divisors (454226666769).

1022010000201 is a wasteful number, since it uses less digits than its factorization.

1022010000201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113556666695 (or 113556666692 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1022010000201 its reverse (1020000102201), we get a palindrome (2042010102402).

It can be divided in two parts, 102 and 2010000201, that multiplied together give a palindrome (205020020502).

The spelling of 1022010000201 in words is "one trillion, twenty-two billion, ten million, two hundred one", and thus it is an aban number.

Divisors: 1 3 9 113556666689 340670000067 1022010000201