Search a number
-
+
106314012 = 22337140627
BaseRepresentation
bin1100101011000…
…11100100011100
321102001022102000
412111203210130
5204204022022
614314402300
72430440250
oct625434434
9242038360
10106314012
1155014322
122b730390
13190446cc
1410196260
1595006ac
hex656391c

106314012 has 48 divisors (see below), whose sum is σ = 315006720. Its totient is φ = 30375216.

The previous prime is 106314001. The next prime is 106314041. The reversal of 106314012 is 210413601.

It is a happy number.

It is a super-2 number, since 2×1063140122 = 22605338295072288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69558 + ... + 71069.

It is an arithmetic number, because the mean of its divisors is an integer number (6562640).

Almost surely, 2106314012 is an apocalyptic number.

106314012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106314012 is an abundant number, since it is smaller than the sum of its proper divisors (208692708).

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

106314012 is a wasteful number, since it uses less digits than its factorization.

106314012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140647 (or 140639 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 106314012 is about 10310.8686346011. The cubic root of 106314012 is about 473.7292156303.

Adding to 106314012 its reverse (210413601), we get a palindrome (316727613).

The spelling of 106314012 in words is "one hundred six million, three hundred fourteen thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 140627 281254 421881 562508 843762 984389 1265643 1687524 1968778 2531286 2953167 3796929 3937556 5062572 5906334 7593858 8859501 11812668 15187716 17719002 26578503 35438004 53157006 106314012