Search a number
-
+
200133021101112 = 23331184231069487
BaseRepresentation
bin101101100000010100011001…
…101000010110110000111000
3222020121112022100022010211000
4231200110121220112300320
5202212434411400213422
61545351501325205000
760104063555111031
oct5540243150266070
9866545270263730
10200133021101112
115884aa34a55460
121a543153a00760
1387896030255b8
14375c6c0429a88
151820dbc263cac
hexb60519a16c38

200133021101112 has 64 divisors (see below), whose sum is σ = 606463700313600. Its totient is φ = 60646370029920.

The previous prime is 200133021101099. The next prime is 200133021101113. The reversal of 200133021101112 is 211101120331002.

200133021101112 is a `hidden beast` number, since 200 + 1 + 330 + 2 + 110 + 11 + 12 = 666.

It is a super-2 number, since 2×2001330211011122 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200133021101113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42115532368 + ... + 42115537119.

It is an arithmetic number, because the mean of its divisors is an integer number (9475995317400).

Almost surely, 2200133021101112 is an apocalyptic number.

200133021101112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

200133021101112 is an abundant number, since it is smaller than the sum of its proper divisors (406330679212488).

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

200133021101112 is a wasteful number, since it uses less digits than its factorization.

200133021101112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84231069513 (or 84231069503 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 200133021101112 its reverse (211101120331002), we get a palindrome (411234141432114).

The spelling of 200133021101112 in words is "two hundred trillion, one hundred thirty-three billion, twenty-one million, one hundred one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 1188 2376 84231069487 168462138974 252693208461 336924277948 505386416922 673848555896 758079625383 926541764357 1010772833844 1516159250766 1853083528714 2021545667688 2274238876149 2779625293071 3032318501532 3706167057428 4548477752298 5559250586142 6064637003064 7412334114856 8338875879213 9096955504596 11118501172284 16677751758426 18193911009192 22237002344568 25016627637639 33355503516852 50033255275278 66711007033704 100066510550556 200133021101112