Search a number
-
+
222120102212100 = 22355273912369073
BaseRepresentation
bin110010100000010001011101…
…110010100011001000000100
31002010110110210211102221100000
4302200101131302203020010
5213103203432131241400
62104224322151521300
764533435124654401
oct6240213562431004
91063413724387300
10222120102212100
11648576740487a4
1220ab4444989230
1396c2ab322a971
143cbc9554832a8
151aa2cc0d48600
hexca045dca3204

222120102212100 has 216 divisors, whose sum is σ = 722986228662880. Its totient is φ = 59151870881280.

The previous prime is 222120102212023. The next prime is 222120102212161. The reversal of 222120102212100 is 1212201021222.

It is a happy number.

222120102212100 is a `hidden beast` number, since 2 + 221 + 2 + 0 + 10 + 221 + 210 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11773164 + ... + 24142236.

Almost surely, 2222120102212100 is an apocalyptic number.

222120102212100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222120102212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361493114331440).

222120102212100 is an abundant number, since it is smaller than the sum of its proper divisors (500866126450780).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

222120102212100 is a wasteful number, since it uses less digits than its factorization.

222120102212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12369841 (or 12369822 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 222120102212100 its reverse (1212201021222), we get a palindrome (223332303233322).

The spelling of 222120102212100 in words is "two hundred twenty-two trillion, one hundred twenty billion, one hundred two million, two hundred twelve thousand, one hundred".