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212041501013430 = 232511587333646729
BaseRepresentation
bin110000001101100111000010…
…010110000111010110110110
31000210202222011210012002012100
4300031213002112013112312
5210243041443224412210
62030550304254202530
762443331031166344
oct6015470226072666
91023688153162170
10212041501013430
1161621328458860
121b9470917b3446
1391415739b963a
143a50c13298994
15197aa456415c0
hexc0d9c25875b6

212041501013430 has 96 divisors (see below), whose sum is σ = 601437207814560. Its totient is φ = 51403110935040.

The previous prime is 212041501013369. The next prime is 212041501013453. The reversal of 212041501013430 is 34310105140212.

212041501013430 is a `hidden beast` number, since 2 + 1 + 20 + 4 + 1 + 501 + 0 + 134 + 3 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 212041501013394 and 212041501013403.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 56322306 + ... + 59969034.

It is an arithmetic number, because the mean of its divisors is an integer number (6264970914735).

Almost surely, 2212041501013430 is an apocalyptic number.

212041501013430 is an abundant number, since it is smaller than the sum of its proper divisors (389395706801130).

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

212041501013430 is a wasteful number, since it uses less digits than its factorization.

212041501013430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3705486 (or 3705483 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 212041501013430 its reverse (34310105140212), we get a palindrome (246351606153642).

The spelling of 212041501013430 in words is "two hundred twelve trillion, forty-one billion, five hundred one million, thirteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 58733 117466 176199 293665 352398 528597 587330 646063 880995 1057194 1292126 1761990 1938189 2642985 3230315 3646729 3876378 5285970 5814567 6460630 7293458 9690945 10940187 11629134 18233645 19381890 21880374 29072835 32820561 36467290 40114019 54700935 58145670 65641122 80228038 109401870 120342057 164102805 200570095 240684114 328205610 361026171 401140190 601710285 722052342 1203420570 1805130855 3610261710 214183334357 428366668714 642550003071 1070916671785 1285100006142 1927650009213 2141833343570 2356016677927 3212750015355 3855300018426 4712033355854 6425500030710 7068050033781 9638250046065 11780083389635 14136100067562 19276500092130 21204150101343 23560166779270 35340250168905 42408300202686 70680500337810 106020750506715 212041501013430