Search a number
-
+
211011210200 = 23527150722293
BaseRepresentation
bin1100010010000100111…
…1111000101111011000
3202011122201211010020102
43010201033320233120
511424122332211300
6240534234314532
721150024456440
oct3044117705730
9664581733212
10211011210200
118154236641a
1234a8b288a48
1316b8a67017b
14a2da66d120
15574eeca0d5
hex31213f8bd8

211011210200 has 48 divisors (see below), whose sum is σ = 560686933680. Its totient is φ = 72346700160.

The previous prime is 211011210181. The next prime is 211011210239. The reversal of 211011210200 is 2012110112.

211011210200 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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 11 ways as a sum of consecutive naturals, for example, 75359747 + ... + 75362546.

It is an arithmetic number, because the mean of its divisors is an integer number (11680977785).

Almost surely, 2211011210200 is an apocalyptic number.

211011210200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211011210200 is an abundant number, since it is smaller than the sum of its proper divisors (349675723480).

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

211011210200 is a wasteful number, since it uses less digits than its factorization.

211011210200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150722316 (or 150722307 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 211011210200 its reverse (2012110112), we get a palindrome (213023320312).

The spelling of 211011210200 in words is "two hundred eleven billion, eleven million, two hundred ten thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 150722293 301444586 602889172 753611465 1055056051 1205778344 1507222930 2110112102 3014445860 3768057325 4220224204 5275280255 6028891720 7536114650 8440448408 10550560510 15072229300 21101121020 26376401275 30144458600 42202242040 52752802550 105505605100 211011210200