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12111202101 = 3173596531013
BaseRepresentation
bin10110100011110001…
…00100011100110101
31011021001100210221210
423101320210130311
5144300431431401
65321441032033
7606061343055
oct132170443465
934231323853
1012111202101
115155504439
122420025619
1311b01cb09b
1482c6c7565
154ad3d94d6
hex2d1e24735

12111202101 has 32 divisors (see below), whose sum is σ = 17189003520. Its totient is φ = 7558943744.

The previous prime is 12111202087. The next prime is 12111202127. The reversal of 12111202101 is 10120211121.

12111202101 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 12111202101 - 214 = 12111185717 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12111202151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11955271 + ... + 11956283.

It is an arithmetic number, because the mean of its divisors is an integer number (537156360).

Almost surely, 212111202101 is an apocalyptic number.

It is an amenable number.

12111202101 is a deficient number, since it is larger than the sum of its proper divisors (5077801419).

12111202101 is a wasteful number, since it uses less digits than its factorization.

12111202101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2045.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12111202101 its reverse (10120211121), we get a palindrome (22231413222).

The spelling of 12111202101 in words is "twelve billion, one hundred eleven million, two hundred two thousand, one hundred one".

Divisors: 1 3 17 51 359 653 1013 1077 1959 3039 6103 11101 17221 18309 33303 51663 234427 363667 661489 703281 1091001 1984467 3985259 6182339 11245313 11955777 18547017 33735939 237474551 712423653 4037067367 12111202101