Search a number
-
+
100044213131112 = 2334168508880463
BaseRepresentation
bin10110101111110101011011…
…110010010001011101101000
3111010020010121020010022011020
4112233311123302101131220
5101103111022030143422
6552435402123332440
730033645602434155
oct2657653362213550
9433203536108136
10100044213131112
112997157018aa58
12b2792a4681120
1343a918a020ca3
141a9c246b7322c
15b875a60cb95c
hex5afd5bc91768

100044213131112 has 16 divisors (see below), whose sum is σ = 250110532827840. Its totient is φ = 33348071043696.

The previous prime is 100044213131111. The next prime is 100044213131201. The reversal of 100044213131112 is 211131312440001.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 4168508880463 = 100044213131112 / (1 + 0 + 0 + 0 + 4 + 4 + 2 + 1 + 3 + 1 + 3 + 1 + 1 + 1 + 2).

It is not an unprimeable number, because it can be changed into a prime (100044213131111) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2084254440208 + ... + 2084254440255.

It is an arithmetic number, because the mean of its divisors is an integer number (15631908301740).

Almost surely, 2100044213131112 is an apocalyptic number.

100044213131112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100044213131112 is an abundant number, since it is smaller than the sum of its proper divisors (150066319696728).

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

100044213131112 is a wasteful number, since it uses less digits than its factorization.

100044213131112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4168508880472 (or 4168508880468 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 100044213131112 its reverse (211131312440001), we get a palindrome (311175525571113).

The spelling of 100044213131112 in words is "one hundred trillion, forty-four billion, two hundred thirteen million, one hundred thirty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 4168508880463 8337017760926 12505526641389 16674035521852 25011053282778 33348071043704 50022106565556 100044213131112