Search a number
-
+
11222101222101 = 3271116193508257
BaseRepresentation
bin1010001101001101100101…
…0110110110001011010101
31110201211012112021202220100
42203103121112312023111
52432330330403101401
635511210115324313
72235525062341230
oct243233126661325
943654175252810
1011222101222101
1136372a2642420
121312b02bb0699
13635316546033
142ab21ca26417
15146da50a3b86
hexa34d95b62d5

11222101222101 has 24 divisors (see below), whose sum is σ = 20209498305984. Its totient is φ = 5829662972160.

The previous prime is 11222101222093. The next prime is 11222101222133. The reversal of 11222101222101 is 10122210122211.

11222101222101 is a `hidden beast` number, since 1 + 122 + 210 + 122 + 210 + 1 = 666.

It is not a de Polignac number, because 11222101222101 - 23 = 11222101222093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11222101222301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8096753436 + ... + 8096754821.

It is an arithmetic number, because the mean of its divisors is an integer number (842062429416).

Almost surely, 211222101222101 is an apocalyptic number.

11222101222101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11222101222101 is a deficient number, since it is larger than the sum of its proper divisors (8987397083883).

11222101222101 is a wasteful number, since it uses less digits than its factorization.

11222101222101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16193508281 (or 16193508278 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 11222101222101 its reverse (10122210122211), we get a palindrome (21344311344312).

It can be divided in two parts, 1122210122210 and 1, that added together give a palindrome (1122210122211).

The spelling of 11222101222101 in words is "eleven trillion, two hundred twenty-two billion, one hundred one million, two hundred twenty-two thousand, one hundred one".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 693 16193508257 48580524771 113354557799 145741574313 178128590827 340063673397 534385772481 1020191020191 1246900135789 1603157317443 3740700407367 11222101222101