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211243202000 = 2453105621601
BaseRepresentation
bin1100010010111100010…
…0110111010111010000
3202012020220100112011022
43010233010313113100
511430111224431000
6241013242535012
721155542406405
oct3045704672720
9665226315138
10211243202000
118165130a286
1234b34b07468
1316bc6748c1c
14a31d3bc2ac
155765553585
hex312f1375d0

211243202000 has 40 divisors (see below), whose sum is σ = 510786067272. Its totient is φ = 84497280000.

The previous prime is 211243201991. The next prime is 211243202069. The reversal of 211243202000 is 202342112.

211243202000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 46140758416 + 165102443584 = 214804^2 + 406328^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 211243202000.

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 7 ways as a sum of consecutive naturals, for example, 52808801 + ... + 52812800.

Almost surely, 2211243202000 is an apocalyptic number.

211243202000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211243202000 is an abundant number, since it is smaller than the sum of its proper divisors (299542865272).

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

211243202000 is a wasteful number, since it uses less digits than its factorization.

211243202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105621624 (or 105621608 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 211243202000 its reverse (202342112), we get a palindrome (211445544112).

The spelling of 211243202000 in words is "two hundred eleven billion, two hundred forty-three million, two hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 105621601 211243202 422486404 528108005 844972808 1056216010 1689945616 2112432020 2640540025 4224864040 5281080050 8449728080 10562160100 13202700125 21124320200 26405400250 42248640400 52810800500 105621601000 211243202000