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112351412241 = 3229430465181
BaseRepresentation
bin110100010100010101…
…0101000000000010001
3101201222222000002120100
41220220222220000101
53320043430142431
6123340304403013
711055113150505
oct1505052500021
9351888002510
10112351412241
1143714496a12
1219936316469
13a7967031b3
14561b5d6305
152dc87724e6
hex1a28aa8011

112351412241 has 12 divisors (see below), whose sum is σ = 167881420980. Its totient is φ = 72318150240.

The previous prime is 112351412231. The next prime is 112351412269. The reversal of 112351412241 is 142214153211.

112351412241 is a `hidden beast` number, since 1 + 1 + 2 + 3 + 5 + 1 + 412 + 241 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 48799019025 + 63552393216 = 220905^2 + 252096^2 .

It is not a de Polignac number, because 112351412241 - 29 = 112351411729 is a prime.

It is not an unprimeable number, because it can be changed into a prime (112351412221) 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, 215232330 + ... + 215232851.

It is an arithmetic number, because the mean of its divisors is an integer number (13990118415).

Almost surely, 2112351412241 is an apocalyptic number.

It is an amenable number.

112351412241 is a deficient number, since it is larger than the sum of its proper divisors (55530008739).

112351412241 is a wasteful number, since it uses less digits than its factorization.

112351412241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430465216 (or 430465213 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

Adding to 112351412241 its reverse (142214153211), we get a palindrome (254565565452).

The spelling of 112351412241 in words is "one hundred twelve billion, three hundred fifty-one million, four hundred twelve thousand, two hundred forty-one".

Divisors: 1 3 9 29 87 261 430465181 1291395543 3874186629 12483490249 37450470747 112351412241