Search a number
-
+
21221324012040 = 2335191925886737
BaseRepresentation
bin1001101001100111110010…
…11110101011101000001000
32210010201221120001122221220
410310303321132223220020
510240142232421341130
6113044535222202040
74320122122601145
oct464637136535010
983121846048856
1021221324012040
116841a05190a79
122468a02583320
13bac21566a939
1453519083d3cc
1526c036b72410
hex134cf97aba08

21221324012040 has 64 divisors (see below), whose sum is σ = 63997291330560. Its totient is φ = 5629391354880.

The previous prime is 21221324011999. The next prime is 21221324012059. The reversal of 21221324012040 is 4021042312212.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 21221324012040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 462920449 + ... + 462966288.

It is an arithmetic number, because the mean of its divisors is an integer number (999957677040).

Almost surely, 221221324012040 is an apocalyptic number.

21221324012040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21221324012040 is an abundant number, since it is smaller than the sum of its proper divisors (42775967318520).

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

21221324012040 is a wasteful number, since it uses less digits than its factorization.

21221324012040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925886942 (or 925886938 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 21221324012040 its reverse (4021042312212), we get a palindrome (25242366324252).

The spelling of 21221324012040 in words is "twenty-one trillion, two hundred twenty-one billion, three hundred twenty-four million, twelve thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 191 382 573 764 955 1146 1528 1910 2292 2865 3820 4584 5730 7640 11460 22920 925886737 1851773474 2777660211 3703546948 4629433685 5555320422 7407093896 9258867370 11110640844 13888301055 18517734740 22221281688 27776602110 37035469480 55553204220 111106408440 176844366767 353688733534 530533100301 707377467068 884221833835 1061066200602 1414754934136 1768443667670 2122132401204 2652665501505 3536887335340 4244264802408 5305331003010 7073774670680 10610662006020 21221324012040