Search a number
-
+
12211020201101 = 2312715127684931
BaseRepresentation
bin1011000110110001100110…
…0001010111110010001101
31121020100202222211000020012
42301230121201113302031
53100031132132413401
641545355405203005
72400134315066501
oct261543141276215
947210688730205
1012211020201101
113988734621217
1214526b1b60465
136a7656b8a1c7
1430303350c301
15162983ac48bb
hexb1b19857c8d

12211020201101 has 16 divisors (see below), whose sum is σ = 12927312887808. Its totient is φ = 11511393894000.

The previous prime is 12211020201091. The next prime is 12211020201119. The reversal of 12211020201101 is 10110202011221.

12211020201101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 12211020201101 - 210 = 12211020200077 is a prime.

It is a super-2 number, since 2×122110202011012 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12211020201131) 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, 13401395 + ... + 14283536.

It is an arithmetic number, because the mean of its divisors is an integer number (807957055488).

Almost surely, 212211020201101 is an apocalyptic number.

It is an amenable number.

12211020201101 is a deficient number, since it is larger than the sum of its proper divisors (716292686707).

12211020201101 is a wasteful number, since it uses less digits than its factorization.

12211020201101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27685232.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 12211020201101 its reverse (10110202011221), we get a palindrome (22321222212322).

The spelling of 12211020201101 in words is "twelve trillion, two hundred eleven billion, twenty million, two hundred one thousand, one hundred one".

Divisors: 1 23 127 151 2921 3473 19177 441071 27684931 636753413 3515986237 4180424581 80867683451 96149765363 530913921787 12211020201101