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221211112020 = 223529887143329
BaseRepresentation
bin1100111000000100110…
…1011011001001010100
3210010222120201211002220
43032001031123021110
512111020021041040
6245342321502340
721660550266513
oct3160115331124
9703876654086
10221211112020
11858a69a6648
1236a571a19b0
1317b248ac032
14a9c718a67a
155b4a6c32d0
hex338135b254

221211112020 has 96 divisors (see below), whose sum is σ = 641476281600. Its totient is φ = 56890896384.

The previous prime is 221211112009. The next prime is 221211112021. The reversal of 221211112020 is 20211112122.

It is a super-2 number, since 2×2212111120202 (a number of 23 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 not an unprimeable number, because it can be changed into a prime (221211112021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1471716 + ... + 1615044.

It is an arithmetic number, because the mean of its divisors is an integer number (6682044600).

Almost surely, 2221211112020 is an apocalyptic number.

221211112020 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 221211112020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320738140800).

221211112020 is an abundant number, since it is smaller than the sum of its proper divisors (420265169580).

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

221211112020 is a wasteful number, since it uses less digits than its factorization.

221211112020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144257 (or 144255 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 221211112020 its reverse (20211112122), we get a palindrome (241422224142).

The spelling of 221211112020 in words is "two hundred twenty-one billion, two hundred eleven million, one hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 348 435 580 870 887 1740 1774 2661 3548 4435 5322 8870 10644 13305 17740 25723 26610 51446 53220 77169 102892 128615 143329 154338 257230 286658 308676 385845 429987 514460 573316 716645 771690 859974 1433290 1543380 1719948 2149935 2866580 4156541 4299870 8313082 8599740 12469623 16626164 20782705 24939246 41565410 49878492 62348115 83130820 124696230 127132823 249392460 254265646 381398469 508531292 635664115 762796938 1271328230 1525593876 1906992345 2542656460 3686851867 3813984690 7373703734 7627969380 11060555601 14747407468 18434259335 22121111202 36868518670 44242222404 55302778005 73737037340 110605556010 221211112020