Search a number
-
+
12111022102101 = 3131817572266427
BaseRepresentation
bin1011000000111101000100…
…1010111001011001010101
31120212210122221202020122220
42300033101022321121111
53041411333124231401
641431420551012553
72356664263216326
oct260172112713125
946783587666586
1012111022102101
11394a28a27439a
12143724496a159
1369b0ab894b20
142dc26882444d
1516007eb13336
hexb03d12b9655

12111022102101 has 32 divisors (see below), whose sum is σ = 17509371105408. Its totient is φ = 7401966001920.

The previous prime is 12111022102033. The next prime is 12111022102121. The reversal of 12111022102101 is 10120122011121.

It is a happy number.

It is not a de Polignac number, because 12111022102101 - 29 = 12111022101589 is a prime.

It is a super-2 number, since 2×121110221021012 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12111022102121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4210450 + ... + 6476876.

It is an arithmetic number, because the mean of its divisors is an integer number (547167847044).

Almost surely, 212111022102101 is an apocalyptic number.

It is an amenable number.

12111022102101 is a deficient number, since it is larger than the sum of its proper divisors (5398349003307).

12111022102101 is a wasteful number, since it uses less digits than its factorization.

12111022102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2267381.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 12111022102101 its reverse (10120122011121), we get a palindrome (22231144113222).

The spelling of 12111022102101 in words is "twelve trillion, one hundred eleven billion, twenty-two million, one hundred two thousand, one hundred one".

Divisors: 1 3 13 39 181 543 757 2271 2353 7059 9841 29523 137017 411051 1781221 2266427 5343663 6799281 29463551 88390653 410223287 1230669861 1715685239 5147055717 5332902731 15998708193 22303908107 66911724321 310539028259 931617084777 4037007367367 12111022102101