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1002112110 = 232529383951
BaseRepresentation
bin111011101110110…
…000010001101110
32120211122120101100
4323232300101232
54023020041420
6243234423530
733555545436
oct7356602156
92524576340
101002112110
1147473672a
1223b731ba6
1312c7c965c
149713b2c6
155ce9c190
hex3bbb046e

1002112110 has 48 divisors (see below), whose sum is σ = 2695343040. Its totient is φ = 258014400.

The previous prime is 1002112103. The next prime is 1002112121. The reversal of 1002112110 is 112112001.

It is a happy number.

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 = 1002112092 and 1002112101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 189366 + ... + 194585.

It is an arithmetic number, because the mean of its divisors is an integer number (56152980).

Almost surely, 21002112110 is an apocalyptic number.

1002112110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1002112110 is an abundant number, since it is smaller than the sum of its proper divisors (1693230930).

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

1002112110 is a wasteful number, since it uses less digits than its factorization.

1002112110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383993 (or 383990 counting only the distinct ones).

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

The square root of 1002112110 is about 31656.1543779405. The cubic root of 1002112110 is about 1000.7035415798.

Adding to 1002112110 its reverse (112112001), we get a palindrome (1114224111).

The spelling of 1002112110 in words is "one billion, two million, one hundred twelve thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 261 290 435 522 870 1305 2610 383951 767902 1151853 1919755 2303706 3455559 3839510 5759265 6911118 11134579 11518530 17277795 22269158 33403737 34555590 55672895 66807474 100211211 111345790 167018685 200422422 334037370 501056055 1002112110