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112342512105 = 325171947164449
BaseRepresentation
bin110100010100000100…
…0101011000111101001
3101201222100020220212200
41220220020223013221
53320034140341410
6123335345530413
711054644411545
oct1505010530751
9351870226780
10112342512105
114370a46812a
1219933343a09
13a794908145
14561a35aa25
152dc7ab53c0
hex1a2822b1e9

112342512105 has 96 divisors (see below), whose sum is σ = 221652288000. Its totient is φ = 52286570496.

The previous prime is 112342512101. The next prime is 112342512109. The reversal of 112342512105 is 501215243211.

It is a happy number.

112342512105 is a `hidden beast` number, since 1 + 1 + 2 + 3 + 42 + 512 + 105 = 666.

It is an interprime number because it is at equal distance from previous prime (112342512101) and next prime (112342512109).

It is not a de Polignac number, because 112342512105 - 22 = 112342512101 is a prime.

It is not an unprimeable number, because it can be changed into a prime (112342512101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 600921 + ... + 765369.

It is an arithmetic number, because the mean of its divisors is an integer number (2308878000).

Almost surely, 2112342512105 is an apocalyptic number.

112342512105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

112342512105 is a deficient number, since it is larger than the sum of its proper divisors (109309775895).

112342512105 is a wasteful number, since it uses less digits than its factorization.

112342512105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164543 (or 164540 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 112342512105 its reverse (501215243211), we get a palindrome (613557755316).

The spelling of 112342512105 in words is "one hundred twelve billion, three hundred forty-two million, five hundred twelve thousand, one hundred five".

Divisors: 1 3 5 9 15 17 19 45 47 51 57 85 95 141 153 171 235 255 285 323 423 705 765 799 855 893 969 1615 2115 2397 2679 2907 3995 4465 4845 7191 8037 11985 13395 14535 15181 35955 40185 45543 75905 136629 164449 227715 493347 683145 822245 1480041 2466735 2795633 3124531 7400205 7729103 8386899 9373593 13978165 15622655 23187309 25160697 28120779 38645515 41934495 46867965 53117027 69561927 115936545 125803485 131394751 140603895 146852957 159351081 265585135 347809635 394184253 440558871 478053243 656973755 734264785 796755405 1182552759 1321676613 1970921265 2202794355 2390266215 2496500269 5912763795 6608383065 7489500807 12482501345 22468502421 37447504035 112342512105