Search a number
-
+
2221206605101 = 112311312145131
BaseRepresentation
bin100000010100101010001…
…110110000110100101101
321212100022201002200202001
4200110222032300310231
5242343012342330401
64420224102132301
7316322366424061
oct40245216606455
97770281080661
102221206605101
11787010249300
122ba599721091
131315c7225b93
14797151c5aa1
153cba30b0601
hex2052a3b0d2d

2221206605101 has 24 divisors (see below), whose sum is σ = 2520497274624. Its totient is φ = 1953948480000.

The previous prime is 2221206605099. The next prime is 2221206605131. The reversal of 2221206605101 is 1015066021222.

It is not a de Polignac number, because 2221206605101 - 21 = 2221206605099 is a prime.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2221206605101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2221206605131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49194306 + ... + 49239436.

It is an arithmetic number, because the mean of its divisors is an integer number (105020719776).

Almost surely, 22221206605101 is an apocalyptic number.

It is an amenable number.

2221206605101 is a deficient number, since it is larger than the sum of its proper divisors (299290669523).

2221206605101 is a wasteful number, since it uses less digits than its factorization.

2221206605101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58305 (or 58294 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The spelling of 2221206605101 in words is "two trillion, two hundred twenty-one billion, two hundred six million, six hundred five thousand, one hundred one".

Divisors: 1 11 31 121 341 3751 13121 45131 144331 406751 496441 1399061 1587641 4474261 5460851 15389671 49216871 169286381 592163851 6513802361 18357079381 71651825971 201927873191 2221206605101