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221020130211000 = 23353173425857669
BaseRepresentation
bin110010010000010001000010…
…010110010111010010111000
31001222120022120220001122212120
4302100101002112113102320
5212432143211313223000
62102023125054241240
764361114603142321
oct6220210226272270
91058508526048776
10221020130211000
116447312458079a
12209572224b6220
1396431551a68b3
143c816079c7448
151a84392a786a0
hexc904425974b8

221020130211000 has 128 divisors (see below), whose sum is σ = 693568835668800. Its totient is φ = 58598015116800.

The previous prime is 221020130210981. The next prime is 221020130211029. The reversal of 221020130211000 is 112031020122.

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, 212409835 + ... + 213447834.

Almost surely, 2221020130211000 is an apocalyptic number.

221020130211000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221020130211000 is an abundant number, since it is smaller than the sum of its proper divisors (472548705457800).

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

221020130211000 is a wasteful number, since it uses less digits than its factorization.

221020130211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425857866 (or 425857852 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 221020130211000 its reverse (112031020122), we get a palindrome (221132161231122).

The spelling of 221020130211000 in words is "two hundred twenty-one trillion, twenty billion, one hundred thirty million, two hundred eleven thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 173 200 250 300 346 375 500 519 600 692 750 865 1000 1038 1384 1500 1730 2076 2595 3000 3460 4152 4325 5190 6920 8650 10380 12975 17300 20760 21625 25950 34600 43250 51900 64875 86500 103800 129750 173000 259500 519000 425857669 851715338 1277573007 1703430676 2129288345 2555146014 3406861352 4258576690 5110292028 6387865035 8517153380 10220584056 10646441725 12775730070 17034306760 21292883450 25551460140 31939325175 42585766900 51102920280 53232208625 63878650350 73673376737 85171533800 106464417250 127757300700 147346753474 159696625875 212928834500 221020130211 255514601400 294693506948 319393251750 368366883685 425857669000 442040260422 589387013896 638786503500 736733767370 884080520844 1105100651055 1277573007000 1473467534740 1768161041688 1841834418425 2210201302110 2946935069480 3683668836850 4420402604220 5525503255275 7367337673700 8840805208440 9209172092125 11051006510550 14734675347400 18418344184250 22102013021100 27627516276375 36836688368500 44204026042200 55255032552750 73673376737000 110510065105500 221020130211000