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211230414200 = 23521381242467
BaseRepresentation
bin1100010010111001010…
…0000101010101111000
3202012020000021211121002
43010232110011111320
511430044441223300
6241012104504132
721155325616241
oct3045624052570
9665200254532
10211230414200
1181645075653
1234b3077b048
1316bc3bbc490
14a31b80dcc8
1557643795d5
hex312e505578

211230414200 has 48 divisors (see below), whose sum is σ = 528888466680. Its totient is φ = 77992767360.

The previous prime is 211230414121. The next prime is 211230414221. The reversal of 211230414200 is 2414032112.

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 (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40618634 + ... + 40623833.

Almost surely, 2211230414200 is an apocalyptic number.

211230414200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211230414200 is an abundant number, since it is smaller than the sum of its proper divisors (317658052480).

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

211230414200 is a wasteful number, since it uses less digits than its factorization.

211230414200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81242496 (or 81242487 counting only the distinct ones).

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

Adding to 211230414200 its reverse (2414032112), we get a palindrome (213644446312).

The spelling of 211230414200 in words is "two hundred eleven billion, two hundred thirty million, four hundred fourteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 81242467 162484934 324969868 406212335 649939736 812424670 1056152071 1624849340 2031061675 2112304142 3249698680 4062123350 4224608284 5280760355 8124246700 8449216568 10561520710 16248493400 21123041420 26403801775 42246082840 52807603550 105615207100 211230414200