Search a number
-
+
21431036000 = 255311244279
BaseRepresentation
bin10011111101011000…
…111010100001100000
32001022120021102121002
4103331120322201200
5322342321123000
613502325251132
71356036541343
oct237530724140
961276242532
1021431036000
1190a8296600
1241a1263aa8
132037001aba
14107439645a
158566e18d5
hex4fd63a860

21431036000 has 144 divisors (see below), whose sum is σ = 57879450720. Its totient is φ = 7792928000.

The previous prime is 21431035943. The next prime is 21431036021. The reversal of 21431036000 is 63013412.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 461861 + ... + 506139.

It is an arithmetic number, because the mean of its divisors is an integer number (401940630).

Almost surely, 221431036000 is an apocalyptic number.

21431036000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21431036000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28939725360).

21431036000 is an abundant number, since it is smaller than the sum of its proper divisors (36448414720).

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

21431036000 is a wasteful number, since it uses less digits than its factorization.

21431036000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44326 (or 44297 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 21431036000 its reverse (63013412), we get a palindrome (21494049412).

The spelling of 21431036000 in words is "twenty-one billion, four hundred thirty-one million, thirty-six thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 121 125 160 176 200 220 242 250 275 352 400 440 484 500 550 605 800 880 968 1000 1100 1210 1375 1760 1936 2000 2200 2420 2750 3025 3872 4000 4400 4840 5500 6050 8800 9680 11000 12100 15125 19360 22000 24200 30250 44000 44279 48400 60500 88558 96800 121000 177116 221395 242000 354232 442790 484000 487069 708464 885580 974138 1106975 1416928 1771160 1948276 2213950 2435345 3542320 3896552 4427900 4870690 5357759 5534875 7084640 7793104 8855800 9741380 10715518 11069750 12176725 15586208 17711600 19482760 21431036 22139500 24353450 26788795 35423200 38965520 42862072 44279000 48706900 53577590 60883625 77931040 85724144 88558000 97413800 107155180 121767250 133943975 171448288 177116000 194827600 214310360 243534500 267887950 389655200 428620720 487069000 535775900 669719875 857241440 974138000 1071551800 1339439750 1948276000 2143103600 2678879500 4286207200 5357759000 10715518000 21431036000