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100002012 = 223112832677
BaseRepresentation
bin1011111010111…
…10100011011100
320222011121222020
411331132203130
5201100031022
613531220140
72323001025
oct575364334
9228147866
10100002012
11514a2aa0
12295a7650
13179446b6
14d3d1c4c
158ba535c
hex5f5e8dc

100002012 has 48 divisors (see below), whose sum is σ = 255545472. Its totient is φ = 30185280.

The previous prime is 100002011. The next prime is 100002013. The reversal of 100002012 is 210200001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100002011) and next prime (100002013).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100002011) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 36018 + ... + 38694.

It is an arithmetic number, because the mean of its divisors is an integer number (5323864).

Almost surely, 2100002012 is an apocalyptic number.

100002012 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 100002012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127772736).

100002012 is an abundant number, since it is smaller than the sum of its proper divisors (155543460).

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

100002012 is a wasteful number, since it uses less digits than its factorization.

100002012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2978 (or 2976 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 100002012 is about 10000.1005994940. The cubic root of 100002012 is about 464.1619962993.

Adding to 100002012 its reverse (210200001), we get a palindrome (310202013).

The spelling of 100002012 in words is "one hundred million, two thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 283 566 849 1132 1698 2677 3113 3396 5354 6226 8031 9339 10708 12452 16062 18678 29447 32124 37356 58894 88341 117788 176682 353364 757591 1515182 2272773 3030364 4545546 8333501 9091092 16667002 25000503 33334004 50001006 100002012