Search a number
-
+
10001220012012 = 22313920112981569
BaseRepresentation
bin1001000110001001011100…
…1010101000011111101100
31022102002220012220021200110
42101202113022220133230
52302324444310341022
633134255210100020
72051364361311525
oct221422712503754
938362805807613
1010001220012012
113206547a69109
12115637841a610
13577159b38718
142680c118b84c
1512524c0d300c
hex918972a87ec

10001220012012 has 48 divisors (see below), whose sum is σ = 23515761852800. Its totient is φ = 3308109327360.

The previous prime is 10001220012011. The next prime is 10001220012013. The reversal of 10001220012012 is 21021002210001.

It is an interprime number because it is at equal distance from previous prime (10001220012011) and next prime (10001220012013).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (10001220012011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1863564 + ... + 4845132.

Almost surely, 210001220012012 is an apocalyptic number.

10001220012012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10001220012012 is an abundant number, since it is smaller than the sum of its proper divisors (13514541840788).

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

10001220012012 is a wasteful number, since it uses less digits than its factorization.

10001220012012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2983726 (or 2983724 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10001220012012 its reverse (21021002210001), we get a palindrome (31022222222013).

The spelling of 10001220012012 in words is "ten trillion, one billion, two hundred twenty million, twelve thousand, twelve".

Divisors: 1 2 3 4 6 12 139 278 417 556 834 1668 2011 4022 6033 8044 12066 24132 279529 559058 838587 1118116 1677174 2981569 3354348 5963138 8944707 11926276 17889414 35778828 414438091 828876182 1243314273 1657752364 2486628546 4973257092 5995935259 11991870518 17987805777 23983741036 35975611554 71951223108 833435001001 1666870002002 2500305003003 3333740004004 5000610006006 10001220012012