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1110112002 = 23217312553
BaseRepresentation
bin100001000101010…
…1111011100000010
32212100212112101100
41002022233130002
54233142041002
6302053315230
736336540066
oct10212573402
92770775340
101110112002
1151a6a163a
1226b935b16
13148cb150c
14a7611aa6
15676d211c
hex422af702

1110112002 has 48 divisors (see below), whose sum is σ = 2555743320. Its totient is φ = 348242688.

The previous prime is 1110111991. The next prime is 1110112009. The reversal of 1110112002 is 2002110111.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1109489481 + 622521 = 33309^2 + 789^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1110112009) 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 23 ways as a sum of consecutive naturals, for example, 82158 + ... + 94710.

Almost surely, 21110112002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1110112002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1277871660).

1110112002 is an abundant number, since it is smaller than the sum of its proper divisors (1445631318).

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

1110112002 is a wasteful number, since it uses less digits than its factorization.

1110112002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12612 (or 12575 counting only the distinct ones).

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

The square root of 1110112002 is about 33318.3433261619. The cubic root of 1110112002 is about 1035.4336291231.

Adding to 1110112002 its reverse (2002110111), we get a palindrome (3112222113).

The spelling of 1110112002 in words is "one billion, one hundred ten million, one hundred twelve thousand, two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 289 306 578 867 1734 2601 4913 5202 9826 12553 14739 25106 29478 37659 44217 75318 88434 112977 213401 225954 426802 640203 1280406 1920609 3627817 3841218 7255634 10883451 21766902 32650353 61672889 65300706 123345778 185018667 370037334 555056001 1110112002