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111200133121 = 7112959844043
BaseRepresentation
bin110011110010000001…
…0110110000000000001
3101122000201200001111221
41213210002312000001
53310214213224441
6123030140435041
711014433351560
oct1474402660001
9348021601457
10111200133121
1143183637970
1219674848a81
13a642039b4c
14554c749bd7
152d5c65c8d1
hex19e40b6001

111200133121 has 32 divisors (see below), whose sum is σ = 145850803200. Its totient is φ = 82243452480.

The previous prime is 111200133119. The next prime is 111200133199. The reversal of 111200133121 is 121331002111.

It is a happy number.

It is not a de Polignac number, because 111200133121 - 21 = 111200133119 is a prime.

It is a super-2 number, since 2×1112001331212 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 111200133095 and 111200133104.

It is not an unprimeable number, because it can be changed into a prime (111200133721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 290275 + ... + 553768.

It is an arithmetic number, because the mean of its divisors is an integer number (4557837600).

Almost surely, 2111200133121 is an apocalyptic number.

111200133121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

111200133121 is a deficient number, since it is larger than the sum of its proper divisors (34650670079).

111200133121 is a wasteful number, since it uses less digits than its factorization.

111200133121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844149.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 111200133121 its reverse (121331002111), we get a palindrome (232531135232).

The spelling of 111200133121 in words is "one hundred eleven billion, two hundred million, one hundred thirty-three thousand, one hundred twenty-one".

Divisors: 1 7 11 29 59 77 203 319 413 649 1711 2233 4543 11977 18821 131747 844043 5908301 9284473 24477247 49798537 64991311 171340729 269249717 348589759 547783907 1444157573 1884748019 3834487349 10109103011 15885733303 111200133121