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212203413333100 = 225271512007600883
BaseRepresentation
bin110000001111111101110101…
…000100100110010001101100
31000211100110002201210010121201
4300033331311010212101230
5210303220042303124400
62031152522521135244
762461122255202510
oct6017756504462154
91024313081703551
10212203413333100
1161683a64770aa2
121b97253992a524
1391539081b1457
143a589b2b62140
15197ed6ee2206a
hexc0ff7512646c

212203413333100 has 72 divisors (see below), whose sum is σ = 529749660462848. Its totient is φ = 72273631752000.

The previous prime is 212203413333089. The next prime is 212203413333103. The reversal of 212203413333100 is 1333314302212.

212203413333100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2122034133331002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (212203413333103) 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, 1003694742 + ... + 1003906141.

Almost surely, 2212203413333100 is an apocalyptic number.

212203413333100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212203413333100 is an abundant number, since it is smaller than the sum of its proper divisors (317546247129748).

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

212203413333100 is a wasteful number, since it uses less digits than its factorization.

212203413333100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2007601055 (or 2007601048 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 212203413333100 its reverse (1333314302212), we get a palindrome (213536727635312).

The spelling of 212203413333100 in words is "two hundred twelve trillion, two hundred three billion, four hundred thirteen million, three hundred thirty-three thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 151 175 302 350 604 700 755 1057 1510 2114 3020 3775 4228 5285 7550 10570 15100 21140 26425 52850 105700 2007600883 4015201766 8030403532 10038004415 14053206181 20076008830 28106412362 40152017660 50190022075 56212824724 70266030905 100380044150 140532061810 200760088300 281064123620 303147733333 351330154525 606295466666 702660309050 1212590933332 1405320618100 1515738666665 2122034133331 3031477333330 4244068266662 6062954666660 7578693333325 8488136533324 10610170666655 15157386666650 21220341333310 30314773333300 42440682666620 53050853333275 106101706666550 212203413333100