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21202111131000 = 2335317903394759
BaseRepresentation
bin1001101001000100000000…
…10011010110110101111000
32210001220100120122011221020
410310202000103112311320
510234333410422143000
6113032040531342440
74315542036031542
oct464420023266570
983056316564836
1021202111131000
116834845aa5098
122465140151a20
13baa473085b87
1453428accc692
1526b7b0086ba0
hex1348804d6d78

21202111131000 has 128 divisors (see below), whose sum is σ = 66154449254400. Its totient is φ = 5653566172800.

The previous prime is 21202111130923. The next prime is 21202111131029. The reversal of 21202111131000 is 13111120212.

It is a super-2 number, since 2×212021111310002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 53511621 + ... + 53906379.

It is an arithmetic number, because the mean of its divisors is an integer number (516831634800).

Almost surely, 221202111131000 is an apocalyptic number.

21202111131000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21202111131000 is an abundant number, since it is smaller than the sum of its proper divisors (44952338123400).

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

21202111131000 is a wasteful number, since it uses less digits than its factorization.

21202111131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412686 (or 412672 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 21202111131000 its reverse (13111120212), we get a palindrome (21215222251212).

The spelling of 21202111131000 in words is "twenty-one trillion, two hundred two billion, one hundred eleven million, one hundred thirty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 17903 35806 53709 71612 89515 107418 143224 179030 214836 268545 358060 394759 429672 447575 537090 716120 789518 895150 1074180 1184277 1342725 1579036 1790300 1973795 2148360 2237875 2368554 2685450 3158072 3580600 3947590 4475750 4737108 5370900 5921385 6713625 7895180 8951500 9474216 9868975 10741800 11842770 13427250 15790360 17903000 19737950 23685540 26854500 29606925 39475900 47371080 49344875 53709000 59213850 78951800 98689750 118427700 148034625 197379500 236855400 296069250 394759000 592138500 1184277000 7067370377 14134740754 21202111131 28269481508 35336851885 42404222262 56538963016 70673703770 84808444524 106010555655 141347407540 169616889048 176684259425 212021111310 282694815080 353368518850 424042222620 530052778275 706737037700 848084445240 883421297125 1060105556550 1413474075400 1766842594250 2120211113100 2650263891375 3533685188500 4240422226200 5300527782750 7067370377000 10601055565500 21202111131000