Search a number
-
+
111112112110122 = 23353174122299391
BaseRepresentation
bin11001010000111001001101…
…111110001111101000101010
3112120102012210010200111101000
4121100321031332033220222
5104030430101200010442
61032152111041535430
732255404501501524
oct3120711576175052
9476365703614330
10111112112110122
1132449422665852
1210566331644576
1349cca9a504ba6
141d61bd7c8aa14
15cca4336cbd4c
hex650e4df8fa2a

111112112110122 has 64 divisors (see below), whose sum is σ = 251719104798720. Its totient is φ = 36317678529600.

The previous prime is 111112112110117. The next prime is 111112112110171. The reversal of 111112112110122 is 221011211211111.

111112112110122 is a `hidden beast` number, since 11 + 111 + 211 + 211 + 0 + 122 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 111112112110095 and 111112112110104.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6166954 + ... + 16132437.

It is an arithmetic number, because the mean of its divisors is an integer number (3933111012480).

Almost surely, 2111112112110122 is an apocalyptic number.

111112112110122 is an abundant number, since it is smaller than the sum of its proper divisors (140606992688598).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

111112112110122 is a wasteful number, since it uses less digits than its factorization.

111112112110122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22301196 (or 22301190 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 18.

Adding to 111112112110122 its reverse (221011211211111), we get a palindrome (332123323321233).

The spelling of 111112112110122 in words is "one hundred eleven trillion, one hundred twelve billion, one hundred twelve million, one hundred ten thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 53 54 106 159 318 477 954 1431 1741 2862 3482 5223 10446 15669 31338 47007 92273 94014 184546 276819 553638 830457 1660914 2491371 4982742 22299391 44598782 66898173 133796346 200694519 401389038 602083557 1181867723 1204167114 2363735446 3545603169 7091206338 10636809507 21273619014 31910428521 38823239731 63820857042 77646479462 116469719193 232939438386 349409157579 698818315158 1048227472737 2057631705743 2096454945474 4115263411486 6172895117229 12345790234458 18518685351687 37037370703374 55556056055061 111112112110122