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1020002112 = 2633590279
BaseRepresentation
bin111100110010111…
…111111101000000
32122002022110212000
4330302333331000
54042110031422
6245114104000
734163606043
oct7462777500
92562273760
101020002112
11483845758
1224571b000
1313342155c
1499676c5a
155e832cac
hex3ccbff40

1020002112 has 56 divisors (see below), whose sum is σ = 2998622400. Its totient is φ = 340000128.

The previous prime is 1020002111. The next prime is 1020002143. The reversal of 1020002112 is 2112000201.

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 = 1020002094 and 1020002103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020002111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 293412 + ... + 296867.

Almost surely, 21020002112 is an apocalyptic number.

1020002112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1020002112 is an abundant number, since it is smaller than the sum of its proper divisors (1978620288).

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

1020002112 is an equidigital number, since it uses as much as digits as its factorization.

1020002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590300 (or 590284 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1020002112 is about 31937.4719099681. The cubic root of 1020002112 is about 1006.6234043267.

Adding to 1020002112 its reverse (2112000201), we get a palindrome (3132002313).

The spelling of 1020002112 in words is "one billion, twenty million, two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 590279 1180558 1770837 2361116 3541674 4722232 5312511 7083348 9444464 10625022 14166696 15937533 18888928 21250044 28333392 31875066 37777856 42500088 56666784 63750132 85000176 113333568 127500264 170000352 255000528 340000704 510001056 1020002112