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112356144405 = 32517314737767
BaseRepresentation
bin110100010100011110…
…0101011010100010101
3101202000021220111212200
41220220330223110111
53320101133110110
6123340554035113
711055201320061
oct1505074532425
9352007814780
10112356144405
114371712929a
1219937a18a99
13a79769c0ab
14561c0a8aa1
152dc8da96c0
hex1a28f2b515

112356144405 has 48 divisors (see below), whose sum is σ = 212858440704. Its totient is φ = 54579064320.

The previous prime is 112356144401. The next prime is 112356144431. The reversal of 112356144405 is 504441653211.

112356144405 is a `hidden beast` number, since 1 + 1 + 2 + 35 + 614 + 4 + 4 + 0 + 5 = 666.

It is not a de Polignac number, because 112356144405 - 22 = 112356144401 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 112356144405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112356144401) 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, 2345169 + ... + 2392598.

It is an arithmetic number, because the mean of its divisors is an integer number (4434550848).

Almost surely, 2112356144405 is an apocalyptic number.

112356144405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

112356144405 is a deficient number, since it is larger than the sum of its proper divisors (100502296299).

112356144405 is a wasteful number, since it uses less digits than its factorization.

112356144405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4737826 (or 4737823 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 112356144405 its reverse (504441653211), we get a palindrome (616797797616).

The spelling of 112356144405 in words is "one hundred twelve billion, three hundred fifty-six million, one hundred forty-four thousand, four hundred five".

Divisors: 1 3 5 9 15 17 31 45 51 85 93 153 155 255 279 465 527 765 1395 1581 2635 4743 7905 23715 4737767 14213301 23688835 42639903 71066505 80542039 146870777 213199515 241626117 402710195 440612331 724878351 734353885 1208130585 1321836993 2203061655 2496803209 3624391755 6609184965 7490409627 12484016045 22471228881 37452048135 112356144405