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10213112220 = 2235374797883
BaseRepresentation
bin10011000001011111…
…11011100110011100
3222100202202212010120
421200233323212130
5131404024042340
64405234234540
7511043010243
oct114057734634
928322685116
1010213112220
114371043413
121b90425a50
13c69bb5a8c
146cc59995a
153eb9574d0
hex260bfb99c

10213112220 has 96 divisors (see below), whose sum is σ = 29994789888. Its totient is φ = 2593481472.

The previous prime is 10213112213. The next prime is 10213112251. The reversal of 10213112220 is 2221131201.

It is a super-2 number, since 2×102131122202 (a number of 21 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10213112220.

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, 55399 + ... + 153281.

It is an arithmetic number, because the mean of its divisors is an integer number (312445728).

Almost surely, 210213112220 is an apocalyptic number.

10213112220 is a gapful number since it is divisible by the number (10) 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 10213112220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14997394944).

10213112220 is an abundant number, since it is smaller than the sum of its proper divisors (19781677668).

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

10213112220 is a wasteful number, since it uses less digits than its factorization.

10213112220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97979 (or 97977 counting only the distinct ones).

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

Adding to 10213112220 its reverse (2221131201), we get a palindrome (12434243421).

The spelling of 10213112220 in words is "ten billion, two hundred thirteen million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 47 60 74 94 111 141 148 185 188 222 235 282 370 444 470 555 564 705 740 940 1110 1410 1739 2220 2820 3478 5217 6956 8695 10434 17390 20868 26085 34780 52170 97883 104340 195766 293649 391532 489415 587298 978830 1174596 1468245 1957660 2936490 3621671 4600501 5872980 7243342 9201002 10865013 13801503 14486684 18108355 18402004 21730026 23002505 27603006 36216710 43460052 46005010 54325065 55206012 69007515 72433420 92010020 108650130 138015030 170218537 217300260 276030060 340437074 510655611 680874148 851092685 1021311222 1702185370 2042622444 2553278055 3404370740 5106556110 10213112220