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21220111111020 = 223517160912929789
BaseRepresentation
bin1001101001100101100010…
…01011110101001101101100
32210010121211000202220112220
410310302301023311031230
510240132241421023040
6113044215013355340
74320050064241443
oct464626113651554
983117730686486
1021220111111020
116841442573538
122468724338b50
13bac0812aa323
145350b7711d5a
1526beb54392d0
hex134cb12f536c

21220111111020 has 96 divisors (see below), whose sum is σ = 62950492785600. Its totient is φ = 5322521370624.

The previous prime is 21220111111019. The next prime is 21220111111021. The reversal of 21220111111020 is 2011111102212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21220111111019) and next prime (21220111111021).

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

It is not an unprimeable number, because it can be changed into a prime (21220111111021) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4823715 + ... + 8106074.

It is an arithmetic number, because the mean of its divisors is an integer number (655734299850).

Almost surely, 221220111111020 is an apocalyptic number.

21220111111020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21220111111020 is an abundant number, since it is smaller than the sum of its proper divisors (41730381674580).

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

21220111111020 is a wasteful number, since it uses less digits than its factorization.

21220111111020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12931427 (or 12931425 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 21220111111020 its reverse (2011111102212), we get a palindrome (23231222213232).

The spelling of 21220111111020 in words is "twenty-one trillion, two hundred twenty billion, one hundred eleven million, one hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 1609 3218 4827 6436 8045 9654 16090 19308 24135 27353 32180 48270 54706 82059 96540 109412 136765 164118 273530 328236 410295 547060 820590 1641180 12929789 25859578 38789367 51719156 64648945 77578734 129297890 155157468 193946835 219806413 258595780 387893670 439612826 659419239 775787340 879225652 1099032065 1318838478 2198064130 2637676956 3297096195 4396128260 6594192390 13188384780 20804030501 41608061002 62412091503 83216122004 104020152505 124824183006 208040305010 249648366012 312060457515 353668518517 416080610020 624120915030 707337037034 1061005555551 1248241830060 1414674074068 1768342592585 2122011111102 3536685185170 4244022222204 5305027777755 7073370370340 10610055555510 21220111111020