Search a number
-
+
1022010100221 = 311112327577919
BaseRepresentation
bin11101101111101001000…
…11001000100111111101
310121200222122022100212010
432313310203020213331
5113221034041201341
62101301023201433
7133560235342305
oct16676443104775
93550878270763
101022010100221
1136448306aa70
121460a5146279
13754b5245b96
1437673696605
151b8b8bdc716
hexedf48c89fd

1022010100221 has 16 divisors (see below), whose sum is σ = 1487883939840. Its totient is φ = 618848479920.

The previous prime is 1022010100127. The next prime is 1022010100249. The reversal of 1022010100221 is 1220010102201.

It is not a de Polignac number, because 1022010100221 - 225 = 1021976545789 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1022010100197 and 1022010100206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022010100421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13751901 + ... + 13826018.

It is an arithmetic number, because the mean of its divisors is an integer number (92992746240).

Almost surely, 21022010100221 is an apocalyptic number.

1022010100221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1022010100221 is a deficient number, since it is larger than the sum of its proper divisors (465873839619).

1022010100221 is a wasteful number, since it uses less digits than its factorization.

1022010100221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27579056.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1022010100221 its reverse (1220010102201), we get a palindrome (2242020202422).

The spelling of 1022010100221 in words is "one trillion, twenty-two billion, ten million, one hundred thousand, two hundred twenty-one".

Divisors: 1 3 11 33 1123 3369 12353 37059 27577919 82733757 303357109 910071327 30970003037 92910009111 340670033407 1022010100221