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212413031302410 = 23252981384303181
BaseRepresentation
bin110000010011000001000011…
…010001101100010100001010
31000212002111011100222021122200
4300103001003101230110022
5210320133342003134120
62031433111025501030
762512222634430411
oct6023010321542412
91025074140867580
10212413031302410
1161754951634964
121b9a709a4a1776
13916a602ccb513
143a64bba35c478
15198553c93ee90
hexc1304346c50a

212413031302410 has 48 divisors (see below), whose sum is σ = 571317808337640. Its totient is φ = 54690251736960.

The previous prime is 212413031302319. The next prime is 212413031302441. The reversal of 212413031302410 is 14203130314212.

212413031302410 is a `hidden beast` number, since 2 + 1 + 2 + 41 + 303 + 1 + 302 + 4 + 10 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 157798995105249 + 54614036197161 = 12561807^2 + 7390131^2 .

It is a super-2 number, since 2×2124130313024102 (a number of 29 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 40692148981 + ... + 40692154200.

Almost surely, 2212413031302410 is an apocalyptic number.

212413031302410 is an abundant number, since it is smaller than the sum of its proper divisors (358904777035230).

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

212413031302410 is a wasteful number, since it uses less digits than its factorization.

212413031302410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81384303223 (or 81384303220 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 212413031302410 its reverse (14203130314212), we get a palindrome (226616161616622).

The spelling of 212413031302410 in words is "two hundred twelve trillion, four hundred thirteen billion, thirty-one million, three hundred two thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 261 290 435 522 870 1305 2610 81384303181 162768606362 244152909543 406921515905 488305819086 732458728629 813843031810 1220764547715 1464917457258 2360144792249 2441529095430 3662293643145 4720289584498 7080434376747 7324587286290 11800723961245 14160868753494 21241303130241 23601447922490 35402171883735 42482606260482 70804343767470 106206515651205 212413031302410