Search a number
-
+
222101010001 = 131011481114217
BaseRepresentation
bin1100111011011001000…
…0000111011001010001
3210020021121020022122101
43032312100013121101
512114330324310001
6250010511240401
722021604302333
oct3166620073121
9706247208571
10222101010001
1186213259122
1237065219101
1317c370795a0
14aa6d437453
155b9d8a6a01
hex33b6407651

222101010001 has 16 divisors (see below), whose sum is σ = 241719096528. Its totient is φ = 202847616000.

The previous prime is 222101009953. The next prime is 222101010011. The reversal of 222101010001 is 100010101222.

It can be written as a sum of positive squares in 8 ways, for example, as 10570924225 + 211530085776 = 102815^2 + 459924^2 .

It is a cyclic number.

It is not a de Polignac number, because 222101010001 - 29 = 222101009489 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 222101010001.

It is not an unprimeable number, because it can be changed into a prime (222101010011) 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, 1887445 + ... + 2001661.

It is an arithmetic number, because the mean of its divisors is an integer number (15107443533).

Almost surely, 2222101010001 is an apocalyptic number.

It is an amenable number.

222101010001 is a deficient number, since it is larger than the sum of its proper divisors (19618086527).

222101010001 is a wasteful number, since it uses less digits than its factorization.

222101010001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115812.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 222101010001 its reverse (100010101222), we get a palindrome (322111111223).

The spelling of 222101010001 in words is "two hundred twenty-two billion, one hundred one million, ten thousand, one".

Divisors: 1 13 101 1313 1481 19253 114217 149581 1484821 1944553 11535917 149966921 169155377 2199019901 17084693077 222101010001