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21231331000 = 2353114913931
BaseRepresentation
bin10011110001011111…
…000110011010111000
32000210122111100211121
4103301133012122320
5321440210043000
613430433035024
71351063223125
oct236137063270
960718440747
1021231331000
119005595250
1241463b5a74
13200481bb69
141055a4d74c
15843de4b1a
hex4f17c66b8

21231331000 has 128 divisors (see below), whose sum is σ = 54321995520. Its totient is φ = 7702800000.

The previous prime is 21231330971. The next prime is 21231331021. The reversal of 21231331000 is 13313212.

It is a super-2 number, since 2×212313310002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5399035 + ... + 5402965.

It is an arithmetic number, because the mean of its divisors is an integer number (424390590).

Almost surely, 221231331000 is an apocalyptic number.

21231331000 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 21231331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27160997760).

21231331000 is an abundant number, since it is smaller than the sum of its proper divisors (33090664520).

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

21231331000 is a wasteful number, since it uses less digits than its factorization.

21231331000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4454 (or 4440 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 21231331000 its reverse (13313212), we get a palindrome (21244644212).

The spelling of 21231331000 in words is "twenty-one billion, two hundred thirty-one million, three hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 491 500 550 982 1000 1100 1375 1964 2200 2455 2750 3928 3931 4910 5401 5500 7862 9820 10802 11000 12275 15724 19640 19655 21604 24550 27005 31448 39310 43208 43241 49100 54010 61375 78620 86482 98200 98275 108020 122750 135025 157240 172964 196550 216040 216205 245500 270050 345928 393100 432410 491000 491375 540100 675125 786200 864820 982750 1080200 1081025 1350250 1729640 1930121 1965500 2162050 2700500 3860242 3931000 4324100 5401000 5405125 7720484 8648200 9650605 10810250 15440968 19301210 21231331 21620500 38602420 42462662 43241000 48253025 77204840 84925324 96506050 106156655 169850648 193012100 212313310 241265125 386024200 424626620 482530250 530783275 849253240 965060500 1061566550 1930121000 2123133100 2653916375 4246266200 5307832750 10615665500 21231331000