Search a number
-
+
12000012010 = 257171428743
BaseRepresentation
bin10110010110100000…
…11010011011101010
31010222022010202211021
423023100122123222
5144034000341020
65302425523054
7603241263520
oct131320323352
933868122737
1012000012010
1150a876a6a8
1223aa94348a
13119316a12c
1481ba22310
154a37741aa
hex2cb41a6ea

12000012010 has 16 divisors (see below), whose sum is σ = 24685739136. Its totient is φ = 4114289808.

The previous prime is 12000011861. The next prime is 12000012023. The reversal of 12000012010 is 1021000021.

12000012010 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 (7).

It is a junction number, because it is equal to n+sod(n) for n = 12000011984 and 12000012002.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 85714302 + ... + 85714441.

It is an arithmetic number, because the mean of its divisors is an integer number (1542858696).

Almost surely, 212000012010 is an apocalyptic number.

12000012010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12000012010 is an abundant number, since it is smaller than the sum of its proper divisors (12685727126).

12000012010 is a wasteful number, since it uses less digits than its factorization.

12000012010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171428757.

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 12000012010 its reverse (1021000021), we get a palindrome (13021012031).

The spelling of 12000012010 in words is "twelve billion, twelve thousand, ten".

Divisors: 1 2 5 7 10 14 35 70 171428743 342857486 857143715 1200001201 1714287430 2400002402 6000006005 12000012010