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212214034100 = 22522122140341
BaseRepresentation
bin1100010110100011110…
…0010010111010110100
3202021202120010220102202
43011220330102322310
511434103243042400
6241253443124032
721221601345605
oct3055074227264
9667676126382
10212214034100
1181aaa320862
1235166073618
131701c912aa3
14a3b22d5dac
1557c08c24d5
hex3168f12eb4

212214034100 has 18 divisors (see below), whose sum is σ = 460504454214. Its totient is φ = 84885613600.

The previous prime is 212214034063. The next prime is 212214034111. The reversal of 212214034100 is 1430412212.

212214034100 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 3 ways, for example, as 35286119716 + 176927914384 = 187846^2 + 420628^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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 5 ways as a sum of consecutive naturals, for example, 1061070071 + ... + 1061070270.

Almost surely, 2212214034100 is an apocalyptic number.

212214034100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212214034100 is an abundant number, since it is smaller than the sum of its proper divisors (248290420114).

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

212214034100 is a wasteful number, since it uses less digits than its factorization.

212214034100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2122140355 (or 2122140348 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 212214034100 its reverse (1430412212), we get a palindrome (213644446312).

The spelling of 212214034100 in words is "two hundred twelve billion, two hundred fourteen million, thirty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2122140341 4244280682 8488561364 10610701705 21221403410 42442806820 53053508525 106107017050 212214034100