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21421330000 = 24547243717
BaseRepresentation
bin10011111100110011…
…111000111001010000
32001021220000022110121
4103330303320321100
5322332330030000
613501341240024
71355561205100
oct237463707120
961256008417
1021421330000
1190a2867314
124199b63014
132034cb3cc5
141072d8b200
15855925b1a
hex4fccf8e50

21421330000 has 150 divisors (see below), whose sum is σ = 60332020386. Its totient is φ = 7344288000.

The previous prime is 21421329997. The next prime is 21421330003. The reversal of 21421330000 is 3312412.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21421329997) and next prime (21421330003).

It can be written as a sum of positive squares in 5 ways, for example, as 2024640016 + 19396689984 = 44996^2 + 139272^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21421330003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 468142 + ... + 511858.

Almost surely, 221421330000 is an apocalyptic number.

21421330000 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 21421330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30166010193).

21421330000 is an abundant number, since it is smaller than the sum of its proper divisors (38910690386).

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

21421330000 is an equidigital number, since it uses as much as digits as its factorization.

21421330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43759 (or 43731 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 21421330000 its reverse (3312412), we get a palindrome (21424642412).

The spelling of 21421330000 in words is "twenty-one billion, four hundred twenty-one million, three hundred thirty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 49 50 56 70 80 98 100 112 125 140 175 196 200 245 250 280 350 392 400 490 500 560 625 700 784 875 980 1000 1225 1250 1400 1750 1960 2000 2450 2500 2800 3500 3920 4375 4900 5000 6125 7000 8750 9800 10000 12250 14000 17500 19600 24500 30625 35000 43717 49000 61250 70000 87434 98000 122500 174868 218585 245000 306019 349736 437170 490000 612038 699472 874340 1092925 1224076 1530095 1748680 2142133 2185850 2448152 3060190 3497360 4284266 4371700 4896304 5464625 6120380 7650475 8568532 8743400 10710665 10929250 12240760 15300950 17137064 17486800 21421330 21858500 24481520 27323125 30601900 34274128 38252375 42842660 43717000 53553325 54646250 61203800 76504750 85685320 87434000 107106650 109292500 122407600 153009500 171370640 191261875 214213300 218585000 267766625 306019000 382523750 428426600 437170000 535533250 612038000 765047500 856853200 1071066500 1338833125 1530095000 2142133000 2677666250 3060190000 4284266000 5355332500 10710665000 21421330000