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111102000021 = 3229426199901
BaseRepresentation
bin110011101111000110…
…0011111101110010101
3101121202220000101012200
41213132030133232111
53310014103000041
6123012313235113
711012132263335
oct1473614375625
9347686011180
10111102000021
1143133201031
1219647a02a99
13a6278cb01c
14553d6c30c5
152d53c261b6
hex19de31fb95

111102000021 has 24 divisors (see below), whose sum is σ = 166055106360. Its totient is φ = 71496432000.

The previous prime is 111102000001. The next prime is 111102000029. The reversal of 111102000021 is 120000201111.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 80261723025 + 30840276996 = 283305^2 + 175614^2 .

It is not a de Polignac number, because 111102000021 - 25 = 111101999989 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 111101999967 and 111102000012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111102000029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1062171 + ... + 1162071.

It is an arithmetic number, because the mean of its divisors is an integer number (6918962765).

Almost surely, 2111102000021 is an apocalyptic number.

It is an amenable number.

111102000021 is a deficient number, since it is larger than the sum of its proper divisors (54953106339).

111102000021 is a wasteful number, since it uses less digits than its factorization.

111102000021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104197 (or 104194 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 111102000021 its reverse (120000201111), we get a palindrome (231102201132).

The spelling of 111102000021 in words is "one hundred eleven billion, one hundred two million, twenty-one", and thus it is an aban number.

Divisors: 1 3 9 29 87 261 4261 12783 38349 99901 123569 299703 370707 899109 1112121 2897129 8691387 26074161 425678161 1277034483 3831103449 12344666669 37034000007 111102000021