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212322011100 = 22352739695069
BaseRepresentation
bin1100010110111101100…
…0001100011111011100
3202022001002022201000220
43011233120030133130
511434313413323400
6241312301321340
721224352213423
oct3055730143734
9668032281026
10212322011100
1182055270551
1235196266250
13170390ba3c4
14a3c27a22ba
1557ca1007a0
hex316f60c7dc

212322011100 has 72 divisors (see below), whose sum is σ = 622733736240. Its totient is φ = 55843591680.

The previous prime is 212322011089. The next prime is 212322011107. The reversal of 212322011100 is 1110223212.

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 212322011100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212322011107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4825635 + ... + 4869434.

It is an arithmetic number, because the mean of its divisors is an integer number (8649079670).

Almost surely, 2212322011100 is an apocalyptic number.

212322011100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212322011100 is an abundant number, since it is smaller than the sum of its proper divisors (410411725140).

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

212322011100 is a wasteful number, since it uses less digits than its factorization.

212322011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9695159 (or 9695152 counting only the distinct ones).

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

Adding to 212322011100 its reverse (1110223212), we get a palindrome (213432234312).

The spelling of 212322011100 in words is "two hundred twelve billion, three hundred twenty-two million, eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 73 75 100 146 150 219 292 300 365 438 730 876 1095 1460 1825 2190 3650 4380 5475 7300 10950 21900 9695069 19390138 29085207 38780276 48475345 58170414 96950690 116340828 145426035 193901380 242376725 290852070 484753450 581704140 707740037 727130175 969506900 1415480074 1454260350 2123220111 2830960148 2908520700 3538700185 4246440222 7077400370 8492880444 10616100555 14154800740 17693500925 21232201110 35387001850 42464402220 53080502775 70774003700 106161005550 212322011100