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1021002012 = 2232196722279
BaseRepresentation
bin111100110110110…
…100000100011100
32122011012021110100
4330312310010130
54042334031022
6245151341100
734205242152
oct7466640434
92564167410
101021002012
11484368a18
12245b21790
131336b1704
14998573d2
155e97e1ac
hex3cdb411c

1021002012 has 72 divisors (see below), whose sum is σ = 2757372800. Its totient is φ = 317595168.

The previous prime is 1021002001. The next prime is 1021002029. The reversal of 1021002012 is 2102001201.

1021002012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 1021001985 and 1021002003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34689 + ... + 56967.

Almost surely, 21021002012 is an apocalyptic number.

1021002012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1021002012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1378686400).

1021002012 is an abundant number, since it is smaller than the sum of its proper divisors (1736370788).

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

1021002012 is a wasteful number, since it uses less digits than its factorization.

1021002012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22375 (or 22370 counting only the distinct ones).

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

The square root of 1021002012 is about 31953.1221009779. The cubic root of 1021002012 is about 1006.9522252228.

Adding to 1021002012 its reverse (2102001201), we get a palindrome (3123003213).

The spelling of 1021002012 in words is "one billion, twenty-one million, two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 67 76 114 134 171 201 228 268 342 402 603 684 804 1206 1273 2412 2546 3819 5092 7638 11457 15276 22279 22914 44558 45828 66837 89116 133674 200511 267348 401022 423301 802044 846602 1269903 1492693 1693204 2539806 2985386 3809709 4478079 5079612 5970772 7619418 8956158 13434237 15238836 17912316 26868474 28361167 53736948 56722334 85083501 113444668 170167002 255250503 340334004 510501006 1021002012