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2210010012 = 2232716135437
BaseRepresentation
bin1000001110111010…
…0001001110011100
312201000112010210200
42003232201032130
514011230310022
61003144103500
7105523526610
oct20356411634
95630463720
102210010012
11a34547261
12518164b90
13292b27942
1416d725340
15ce047bac
hex83ba139c

2210010012 has 72 divisors (see below), whose sum is σ = 6389606496. Its totient is φ = 630923904.

The previous prime is 2210010007. The next prime is 2210010017. The reversal of 2210010012 is 2100100122.

It is an interprime number because it is at equal distance from previous prime (2210010007) and next prime (2210010017).

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 = 2210009976 and 2210010003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2210010017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 403758 + ... + 409194.

Almost surely, 22210010012 is an apocalyptic number.

It is an amenable number.

2210010012 is an abundant number, since it is smaller than the sum of its proper divisors (4179596484).

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

2210010012 is a wasteful number, since it uses less digits than its factorization.

2210010012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7067 (or 7062 counting only the distinct ones).

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

The square root of 2210010012 is about 47010.7435805902. The cubic root of 2210010012 is about 1302.5610287213.

Adding to 2210010012 its reverse (2100100122), we get a palindrome (4310110134).

It can be divided in two parts, 2 and 210010012, that multiplied together give a palindrome (420020024).

The spelling of 2210010012 in words is "two billion, two hundred ten million, ten thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 1613 3226 4839 5437 6452 9678 10874 11291 14517 16311 19356 21748 22582 29034 32622 33873 38059 45164 48933 58068 65244 67746 76118 97866 101619 114177 135492 152236 195732 203238 228354 342531 406476 456708 685062 1370124 8769881 17539762 26309643 35079524 52619286 61389167 78928929 105238572 122778334 157857858 184167501 245556668 315715716 368335002 552502503 736670004 1105005006 2210010012