Search a number
-
+
112241601135 = 32552117532731
BaseRepresentation
bin110100010001000011…
…1101110101001101111
3101201201022101010001100
41220202013232221233
53314332322214020
6123321343014143
711052310603506
oct1504207565157
9351638333040
10112241601135
1143668504234
121990559a353
13a779a35b01
14560abad83d
152dbdcd0a90
hex1a221eea6f

112241601135 has 48 divisors (see below), whose sum is σ = 195108140448. Its totient is φ = 59691340800.

The previous prime is 112241601133. The next prime is 112241601137. The reversal of 112241601135 is 531106142211.

112241601135 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 41 + 601 + 13 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (112241601133) and next prime (112241601137).

It is not a de Polignac number, because 112241601135 - 21 = 112241601133 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 112241601099 and 112241601108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112241601133) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41097720 + ... + 41100450.

It is an arithmetic number, because the mean of its divisors is an integer number (4064752926).

Almost surely, 2112241601135 is an apocalyptic number.

112241601135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

112241601135 is a deficient number, since it is larger than the sum of its proper divisors (82866539313).

112241601135 is a wasteful number, since it uses less digits than its factorization.

112241601135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5016 (or 5013 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 112241601135 its reverse (531106142211), we get a palindrome (643347743346).

The spelling of 112241601135 in words is "one hundred twelve billion, two hundred forty-one million, six hundred one thousand, one hundred thirty-five".

Divisors: 1 3 5 9 15 45 521 1563 1753 2605 2731 4689 5259 7815 8193 8765 13655 15777 23445 24579 26295 40965 78885 122895 913313 1422851 2739939 4268553 4566565 4787443 7114255 8219817 12805659 13699695 14362329 21342765 23937215 41099085 43086987 64028295 71811645 215434935 2494257803 7482773409 12471289015 22448320227 37413867045 112241601135