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21000221001020 = 2254125931053347
BaseRepresentation
bin1001100011001011111101…
…01101101000010100111100
32202100121020111201221112202
410301211332231220110330
510223031423034013040
6112355211321251032
74265134024163522
oct461457655502474
982317214657482
1021000221001020
11676716430a2a8
122431b97633a78
13b9440a2aa7c1
145285b7b92312
152663e5c04015
hex13197eb6853c

21000221001020 has 72 divisors (see below), whose sum is σ = 45278589332592. Its totient is φ = 8181380515840.

The previous prime is 21000221001007. The next prime is 21000221001041. The reversal of 21000221001020 is 2010012200012.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 21000221000992 and 21000221001010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19409987 + ... + 20463333.

It is an arithmetic number, because the mean of its divisors is an integer number (628869296286).

Almost surely, 221000221001020 is an apocalyptic number.

21000221001020 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 21000221001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22639294666296).

21000221001020 is an abundant number, since it is smaller than the sum of its proper divisors (24278368331572).

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

21000221001020 is a wasteful number, since it uses less digits than its factorization.

21000221001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054031 (or 1053988 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 21000221001020 its reverse (2010012200012), we get a palindrome (23010233201032).

The spelling of 21000221001020 in words is "twenty-one trillion, two hundred twenty-one million, one thousand, twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 593 820 1186 1681 2372 2965 3362 5930 6724 8405 11860 16810 24313 33620 48626 97252 121565 243130 486260 996833 1053347 1993666 2106694 3987332 4213388 4984165 5266735 9968330 10533470 19936660 21066940 43187227 86374454 172748908 215936135 431872270 624634771 863744540 1249269542 1770676307 2498539084 3123173855 3541352614 6246347710 7082705228 8853381535 12492695420 17706763070 25610025611 35413526140 51220051222 102440102444 128050128055 256100256110 512200512220 1050011050051 2100022100102 4200044200204 5250055250255 10500110500510 21000221001020