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212807180385 = 325194331318493
BaseRepresentation
bin1100011000110001001…
…0111110000001100001
3202100021220020212011200
43012030102332001201
511441312114233020
6241432352231413
721242363121222
oct3061422760141
9670256225150
10212807180385
11822841183a8
12352b083b569
13170b577bc17
14a42adb7249
1558079d9590
hex318c4be061

212807180385 has 96 divisors (see below), whose sum is σ = 398600442240. Its totient is φ = 104681880576.

The previous prime is 212807180317. The next prime is 212807180491. The reversal of 212807180385 is 583081708212.

212807180385 is a `hidden beast` number, since 2 + 12 + 80 + 7 + 180 + 385 = 666.

It is not a de Polignac number, because 212807180385 - 221 = 212805083233 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 212807180385.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11498199 + ... + 11516691.

It is an arithmetic number, because the mean of its divisors is an integer number (4152087940).

Almost surely, 2212807180385 is an apocalyptic number.

It is an amenable number.

212807180385 is a deficient number, since it is larger than the sum of its proper divisors (185793261855).

212807180385 is a wasteful number, since it uses less digits than its factorization.

212807180385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18879 (or 18876 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

Adding to 212807180385 its reverse (583081708212), we get a palindrome (795888888597).

The spelling of 212807180385 in words is "two hundred twelve billion, eight hundred seven million, one hundred eighty thousand, three hundred eighty-five".

Divisors: 1 3 5 9 15 19 43 45 57 95 129 171 215 285 313 387 645 817 855 939 1565 1935 2451 2817 4085 4695 5947 7353 12255 13459 14085 17841 18493 29735 36765 40377 53523 55479 67295 89205 92465 121131 166437 201885 255721 267615 277395 351367 605655 767163 795199 832185 1054101 1278605 1756835 2301489 2385597 3162303 3835815 3975995 5270505 5788309 7156791 11507445 11927985 15108781 15811515 17364927 28941545 35783955 45326343 52094781 75543905 86824635 109977871 135979029 226631715 248897287 260473905 329933613 549889355 679895145 746691861 989800839 1244486435 1649668065 2240075583 3733459305 4729048453 4949004195 11200377915 14187145359 23645242265 42561436077 70935726795 212807180385