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21213543315000 = 233543174461313
BaseRepresentation
bin1001101001011001010011…
…01101101011011000111000
32210002222212022022022011110
410310230221231223120320
510240030314042040000
6113041211155000320
74316425244012211
oct464545155533070
983088768268143
1021213543315000
116839682190143
1224673b08990a0
13bab5756acbaa
14534a53340408
1526bc2da45850
hex134b29b6b638

21213543315000 has 160 divisors (see below), whose sum is σ = 66480181344720. Its totient is φ = 5639098368000.

The previous prime is 21213543314923. The next prime is 21213543315053. The reversal of 21213543315000 is 51334531212.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 2524344 + ... + 6985656.

Almost surely, 221213543315000 is an apocalyptic number.

21213543315000 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 21213543315000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33240090672360).

21213543315000 is an abundant number, since it is smaller than the sum of its proper divisors (45266638029720).

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

21213543315000 is a wasteful number, since it uses less digits than its factorization.

21213543315000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4461659 (or 4461640 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 21213543315000 its reverse (51334531212), we get a palindrome (21264877846212).

The spelling of 21213543315000 in words is "twenty-one trillion, two hundred thirteen billion, five hundred forty-three million, three hundred fifteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 317 375 500 600 625 634 750 951 1000 1250 1268 1500 1585 1875 1902 2500 2536 3000 3170 3750 3804 4755 5000 6340 7500 7608 7925 9510 12680 15000 15850 19020 23775 31700 38040 39625 47550 63400 79250 95100 118875 158500 190200 198125 237750 317000 396250 475500 594375 792500 951000 1188750 1585000 2377500 4461313 4755000 8922626 13383939 17845252 22306565 26767878 35690504 44613130 53535756 66919695 89226260 107071512 111532825 133839390 178452520 223065650 267678780 334598475 446131300 535357560 557664125 669196950 892262600 1115328250 1338393900 1414236221 1672992375 2230656500 2676787800 2788320625 2828472442 3345984750 4242708663 4461313000 5576641250 5656944884 6691969500 7071181105 8364961875 8485417326 11153282500 11313889768 13383939000 14142362210 16729923750 16970834652 21213543315 22306565000 28284724420 33459847500 33941669304 35355905525 42427086630 56569448840 66919695000 70711811050 84854173260 106067716575 141423622100 169708346520 176779527625 212135433150 282847244200 353559055250 424270866300 530338582875 707118110500 848541732600 883897638125 1060677165750 1414236221000 1767795276250 2121354331500 2651692914375 3535590552500 4242708663000 5303385828750 7071181105000 10606771657500 21213543315000