Search a number
-
+
212202113199 = 31773313182101
BaseRepresentation
bin1100010110100000111…
…0110100100010101111
3202021201201201021000220
43011220032310202233
511434042220110244
6241252335422423
721221365126026
oct3055016644257
9667651637026
10212202113199
1181aa361947a
1235162084a13
131701a2caabb
14a3b08b18bd
1557be81a319
hex31683b48af

212202113199 has 32 divisors (see below), whose sum is σ = 304655189184. Its totient is φ = 130902220800.

The previous prime is 212202113197. The next prime is 212202113219. The reversal of 212202113199 is 991311202212.

212202113199 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 212202113199 - 21 = 212202113197 is a prime.

It is a super-2 number, since 2×2122021131992 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212202113197) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1074249 + ... + 1256349.

It is an arithmetic number, because the mean of its divisors is an integer number (9520474662).

Almost surely, 2212202113199 is an apocalyptic number.

212202113199 is a deficient number, since it is larger than the sum of its proper divisors (92453075985).

212202113199 is a wasteful number, since it uses less digits than its factorization.

212202113199 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182507.

The product of its (nonzero) digits is 3888, while the sum is 33.

The spelling of 212202113199 in words is "two hundred twelve billion, two hundred two million, one hundred thirteen thousand, one hundred ninety-nine".

Divisors: 1 3 17 51 73 219 313 939 1241 3723 5321 15963 22849 68547 182101 388433 546303 1165299 3095717 9287151 13293373 39880119 56997613 170992839 225987341 677962023 968959421 2906878263 4160825749 12482477247 70734037733 212202113199