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213100112220 = 22351929838417
BaseRepresentation
bin1100011001110111000…
…0011010100101011100
3202101001022110100002220
43012131300122211130
511442412112042340
6241521414545340
721252551032002
oct3063560324534
9671038410086
10213100112220
1182414504426
1235372968250
1317131373778
14a457c6aa72
15582359ded0
hex319dc1a95c

213100112220 has 72 divisors (see below), whose sum is σ = 629737459344. Its totient is φ = 53835812352.

The previous prime is 213100112207. The next prime is 213100112237. The reversal of 213100112220 is 22211001312.

213100112220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 213100112220.

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 23 ways as a sum of consecutive naturals, for example, 4897549 + ... + 4940868.

It is an arithmetic number, because the mean of its divisors is an integer number (8746353602).

Almost surely, 2213100112220 is an apocalyptic number.

213100112220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213100112220 is an abundant number, since it is smaller than the sum of its proper divisors (416637347124).

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

213100112220 is a wasteful number, since it uses less digits than its factorization.

213100112220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9838467 (or 9838446 counting only the distinct ones).

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

Adding to 213100112220 its reverse (22211001312), we get a palindrome (235311113532).

The spelling of 213100112220 in words is "two hundred thirteen billion, one hundred million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 361 380 570 722 1083 1140 1444 1805 2166 3610 4332 5415 7220 10830 21660 9838417 19676834 29515251 39353668 49192085 59030502 98384170 118061004 147576255 186929923 196768340 295152510 373859846 560789769 590305020 747719692 934649615 1121579538 1869299230 2243159076 2803948845 3551668537 3738598460 5607897690 7103337074 10655005611 11215795380 14206674148 17758342685 21310011222 35516685370 42620022444 53275028055 71033370740 106550056110 213100112220