Search a number
-
+
100222211221 = 1110190209011
BaseRepresentation
bin101110101010110110…
…1011001010010010101
3100120200122202211201221
41131111231121102111
53120223341224341
6114012541450341
710145412511426
oct1352555312225
9316618684657
10100222211221
113955a909740
12175102709b1
1395b2872782
144bca78564d
1529189ceed1
hex1755b59495

100222211221 has 8 divisors (see below), whose sum is σ = 110415830688. Its totient is φ = 90209010000.

The previous prime is 100222211191. The next prime is 100222211239. The reversal of 100222211221 is 122112222001.

It is a happy number.

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-100222211221 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100222211195 and 100222211204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100222211021) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45103395 + ... + 45105616.

It is an arithmetic number, because the mean of its divisors is an integer number (13801978836).

Almost surely, 2100222211221 is an apocalyptic number.

100222211221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100222211221 is a deficient number, since it is larger than the sum of its proper divisors (10193619467).

100222211221 is a wasteful number, since it uses less digits than its factorization.

100222211221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90209123.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 100222211221 its reverse (122112222001), we get a palindrome (222334433222).

The spelling of 100222211221 in words is "one hundred billion, two hundred twenty-two million, two hundred eleven thousand, two hundred twenty-one".

Divisors: 1 11 101 1111 90209011 992299121 9111110111 100222211221