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111162133431 = 3323988719421
BaseRepresentation
bin110011110000111000…
…1111000101110110111
3101121221002011110202000
41213201301320232313
53310130001232211
6123022302150343
711013462354366
oct1474161705667
9347832143660
10111162133431
1143164143168
1219663b823b3
13a6371c391b
1455476977dd
152d59153656
hex19e1c78bb7

111162133431 has 32 divisors (see below), whose sum is σ = 165568665600. Its totient is φ = 73711018080.

The previous prime is 111162133417. The next prime is 111162133517. The reversal of 111162133431 is 134331261111.

111162133431 is a `hidden beast` number, since 1 + 1 + 1 + 1 + 621 + 3 + 3 + 4 + 31 = 666.

It is not a de Polignac number, because 111162133431 - 26 = 111162133367 is a prime.

It is a super-4 number, since 4×1111621334314 (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 111162133395 and 111162133404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111162133231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5714101 + ... + 5733521.

It is an arithmetic number, because the mean of its divisors is an integer number (5174020800).

Almost surely, 2111162133431 is an apocalyptic number.

111162133431 is a deficient number, since it is larger than the sum of its proper divisors (54406532169).

111162133431 is a wasteful number, since it uses less digits than its factorization.

111162133431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20556 (or 20550 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

Adding to 111162133431 its reverse (134331261111), we get a palindrome (245493394542).

The spelling of 111162133431 in words is "one hundred eleven billion, one hundred sixty-two million, one hundred thirty-three thousand, four hundred thirty-one".

Divisors: 1 3 9 27 239 717 887 2151 2661 6453 7983 19421 23949 58263 174789 211993 524367 635979 1907937 4641619 5723811 13924857 17226427 41774571 51679281 125323713 155037843 465113529 4117116053 12351348159 37054044477 111162133431