Search a number
-
+
21343241400 = 23352132736313
BaseRepresentation
bin10011111000001010…
…000000010010111000
32001002110002000001020
4103320022000102320
5322202332211100
613445511422440
71353622362405
oct237012002270
961073060036
1021343241400
119062781188
124177984a20
132021a72930
1410668612ac
1584db4d5a0
hex4f82804b8

21343241400 has 96 divisors (see below), whose sum is σ = 71253616560. Its totient is φ = 5253719040.

The previous prime is 21343241377. The next prime is 21343241471. The reversal of 21343241400 is 414234312.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1360357 + ... + 1375956.

Almost surely, 221343241400 is an apocalyptic number.

21343241400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21343241400 is an abundant number, since it is smaller than the sum of its proper divisors (49910375160).

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

21343241400 is a wasteful number, since it uses less digits than its factorization.

21343241400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2736345 (or 2736336 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 21343241400 its reverse (414234312), we get a palindrome (21757475712).

The spelling of 21343241400 in words is "twenty-one billion, three hundred forty-three million, two hundred forty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 130 150 156 195 200 260 300 312 325 390 520 600 650 780 975 1300 1560 1950 2600 3900 7800 2736313 5472626 8208939 10945252 13681565 16417878 21890504 27363130 32835756 35572069 41044695 54726260 65671512 68407825 71144138 82089390 106716207 109452520 136815650 142288276 164178780 177860345 205223475 213432414 273631300 284576552 328357560 355720690 410446950 426864828 533581035 547262600 711441380 820893900 853729656 889301725 1067162070 1422882760 1641787800 1778603450 2134324140 2667905175 3557206900 4268648280 5335810350 7114413800 10671620700 21343241400