Search a number
-
+
21223102332000 = 253531768591861
BaseRepresentation
bin1001101001101011000110…
…11110011011110001100000
32210010220112111021200100010
410310311203132123301200
510240204403144111000
6113045431505524520
74320214155221352
oct464654336336140
983126474250303
1021223102332000
116842737a88098
12246921a043740
13bac439c0997a
145352bcab10d2
1526c0dcd46d50
hex134d6379bc60

21223102332000 has 96 divisors (see below), whose sum is σ = 69526883278944. Its totient is φ = 5659493952000.

The previous prime is 21223102331911. The next prime is 21223102332001. The reversal of 21223102332000 is 23320132212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21223102332001) by changing a digit.

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, 884283931 + ... + 884307930.

It is an arithmetic number, because the mean of its divisors is an integer number (724238367489).

Almost surely, 221223102332000 is an apocalyptic number.

21223102332000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21223102332000 is an abundant number, since it is smaller than the sum of its proper divisors (48303780946944).

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

21223102332000 is a wasteful number, since it uses less digits than its factorization.

21223102332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1768591889 (or 1768591871 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 21223102332000 its reverse (23320132212), we get a palindrome (21246422464212).

The spelling of 21223102332000 in words is "twenty-one trillion, two hundred twenty-three billion, one hundred two million, three hundred thirty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 6000 12000 1768591861 3537183722 5305775583 7074367444 8842959305 10611551166 14148734888 17685918610 21223102332 26528877915 28297469776 35371837220 42446204664 44214796525 53057755830 56594939552 70743674440 84892409328 88429593050 106115511660 132644389575 141487348880 169784818656 176859186100 212231023320 221073982625 265288779150 282974697760 353718372200 424462046640 442147965250 530577558300 663221947875 707436744400 848924093280 884295930500 1061155116600 1326443895750 1414873488800 1768591861000 2122310233200 2652887791500 3537183722000 4244620466400 5305775583000 7074367444000 10611551166000 21223102332000