Search a number
-
+
202002022003212 = 2232291071808303989
BaseRepresentation
bin101101111011100001000010…
…110000111111001000001100
3222111020012112020020022111100
4231323201002300333020030
5202434100120113100322
61553342240421023100
760356110262465634
oct5573410260771014
9874205466208440
10202002022003212
115940063826a072
121a7a5418554a90
13889392a702752
1437c4d42c596c4
151854809828dac
hexb7b842c3f20c

202002022003212 has 72 divisors (see below), whose sum is σ = 533160348411600. Its totient is φ = 64404554836608.

The previous prime is 202002022003121. The next prime is 202002022003217. The reversal of 202002022003212 is 212300220200202.

202002022003212 is a `hidden beast` number, since 20 + 200 + 202 + 200 + 32 + 12 = 666.

202002022003212 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2020020220032122 (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 not an unprimeable number, because it can be changed into a prime (202002022003217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 904040287 + ... + 904263702.

It is an arithmetic number, because the mean of its divisors is an integer number (7405004839050).

Almost surely, 2202002022003212 is an apocalyptic number.

It is an amenable number.

202002022003212 is an abundant number, since it is smaller than the sum of its proper divisors (331158326408388).

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

202002022003212 is a wasteful number, since it uses less digits than its factorization.

202002022003212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1808304135 (or 1808304130 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 202002022003212 its reverse (212300220200202), we get a palindrome (414302242203414).

The spelling of 202002022003212 in words is "two hundred two trillion, two billion, twenty-two million, three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 107 116 174 214 261 321 348 428 522 642 963 1044 1284 1926 3103 3852 6206 9309 12412 18618 27927 37236 55854 111708 1808303989 3616607978 5424911967 7233215956 10849823934 16274735901 21699647868 32549471802 52440815681 65098943604 104881631362 157322447043 193488526823 209763262724 314644894086 386977053646 471967341129 580465580469 629289788172 773954107292 943934682258 1160931160938 1741396741407 1887869364516 2321862321876 3482793482814 5611167277867 6965586965628 11222334555734 16833501833601 22444669111468 33667003667202 50500505500803 67334007334404 101001011001606 202002022003212