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212201330193 = 32234723339349
BaseRepresentation
bin1100010110100000101…
…1110101011000010001
3202021201200020110221200
43011220023311120101
511434042020031233
6241252310541413
721221355355146
oct3055013653021
9667650213850
10212201330193
1181aa3134166
1235161967869
131701a0b5598
14a3b074a3cd
1557be713313
hex31682f5611

212201330193 has 48 divisors (see below), whose sum is σ = 326819750400. Its totient is φ = 132366782592.

The previous prime is 212201330189. The next prime is 212201330207. The reversal of 212201330193 is 391033102212.

212201330193 is a `hidden beast` number, since 21 + 220 + 1 + 330 + 1 + 93 = 666.

It is not a de Polignac number, because 212201330193 - 22 = 212201330189 is a prime.

It is a super-2 number, since 2×2122013301932 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (212201330183) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 22693083 + ... + 22702431.

It is an arithmetic number, because the mean of its divisors is an integer number (6808744800).

Almost surely, 2212201330193 is an apocalyptic number.

212201330193 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

212201330193 is a deficient number, since it is larger than the sum of its proper divisors (114618420207).

212201330193 is a wasteful number, since it uses less digits than its factorization.

212201330193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11758 (or 11755 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 212201330193 in words is "two hundred twelve billion, two hundred one million, three hundred thirty thousand, one hundred ninety-three".

Divisors: 1 3 9 23 47 69 141 207 423 1081 2333 3243 6999 9349 9729 20997 28047 53659 84141 109651 160977 215027 328953 439403 482931 645081 986859 1318209 1935243 2521973 3954627 7565919 10106269 21811217 22697757 30318807 65433651 90956421 196300953 501657991 1025127199 1504973973 3075381597 4514921919 9226144791 23577925577 70733776731 212201330193