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12112311310101 = 327691317497853
BaseRepresentation
bin1011000001000001111000…
…0000110101011100010101
31120212220222210121210120100
42300100132000311130111
53041422003143410401
641432152523124313
72360041236261252
oct260203600653425
946786883553510
1012112311310101
11394a890a70452
121437544673699
1369b2559c18b2
142dc34bb36429
15160107dc0b86
hexb041e035715

12112311310101 has 12 divisors (see below), whose sum is σ = 17495789253228. Its totient is φ = 8074768758144.

The previous prime is 12112311310027. The next prime is 12112311310103. The reversal of 12112311310101 is 10101311321121.

12112311310101 is a `hidden beast` number, since 1 + 21 + 1 + 231 + 1 + 310 + 101 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5495203314225 + 6617107995876 = 2344185^2 + 2572374^2 .

It is not a de Polignac number, because 12112311310101 - 226 = 12112244201237 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12112311310103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8056710 + ... + 9441143.

It is an arithmetic number, because the mean of its divisors is an integer number (1457982437769).

Almost surely, 212112311310101 is an apocalyptic number.

It is an amenable number.

12112311310101 is a deficient number, since it is larger than the sum of its proper divisors (5383477943127).

12112311310101 is a wasteful number, since it uses less digits than its factorization.

12112311310101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17574772 (or 17574769 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 12112311310101 its reverse (10101311321121), we get a palindrome (22213622631222).

The spelling of 12112311310101 in words is "twelve trillion, one hundred twelve billion, three hundred eleven million, three hundred ten thousand, one hundred one".

Divisors: 1 3 9 76913 230739 692217 17497853 52493559 157480677 1345812367789 4037437103367 12112311310101