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21121111000220 = 22571190671512629
BaseRepresentation
bin1001100110101101001000…
…10100011000010010011100
32202210011021112121012102112
410303112210110120102130
510232022013404001340
6112530523205413152
74306643551213010
oct463264424302234
982704245535375
1021121111000220
11680345a595a50
1224514b540a1b8
13ba29349994ca
145303a53b0540
1526961ddad065
hex1335a451849c

21121111000220 has 96 divisors (see below), whose sum is σ = 55305044282880. Its totient is φ = 6582473015040.

The previous prime is 21121111000097. The next prime is 21121111000279. The reversal of 21121111000220 is 2200011112112.

It is a super-2 number, since 2×211211110002202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 21121111000195 and 21121111000204.

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, 13206866 + ... + 14719494.

It is an arithmetic number, because the mean of its divisors is an integer number (576094211280).

Almost surely, 221121111000220 is an apocalyptic number.

21121111000220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21121111000220 is an abundant number, since it is smaller than the sum of its proper divisors (34183933282660).

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

21121111000220 is a wasteful number, since it uses less digits than its factorization.

21121111000220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1521723 (or 1521721 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 21121111000220 its reverse (2200011112112), we get a palindrome (23321122112332).

The spelling of 21121111000220 in words is "twenty-one trillion, one hundred twenty-one billion, one hundred eleven million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 9067 18134 36268 45335 63469 90670 99737 126938 181340 199474 253876 317345 398948 498685 634690 698159 997370 1269380 1396318 1512629 1994740 2792636 3025258 3490795 6050516 6981590 7563145 10588403 13963180 15126290 16638919 21176806 30252580 33277838 42353612 52942015 66555676 83194595 105884030 116472433 166389190 211768060 232944866 332778380 465889732 582362165 1164724330 2329448660 13715007143 27430014286 54860028572 68575035715 96005050001 137150071430 150865078573 192010100002 274300142860 301730157146 384020200004 480025250005 603460314292 754325392865 960050500010 1056055550011 1508650785730 1920101000020 2112111100022 3017301571460 4224222200044 5280277750055 10560555500110 21121111000220