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212230113333030 = 233513331182671963
BaseRepresentation
bin110000010000010110101100…
…100001000000111100100110
31000211110000000111112122221000
4300100112230201000330212
5210304134233003124110
62031213100150534130
762463056024356062
oct6020265441007446
91024400014478830
10212230113333030
1161694316170141
121b97774b667346
1391562a1994190
143a59dc6bd0aa2
1519808d3e981c0
hexc105ac840f26

212230113333030 has 128 divisors (see below), whose sum is σ = 611322687843840. Its totient is φ = 52083429805440.

The previous prime is 212230113332989. The next prime is 212230113333041. The reversal of 212230113333030 is 30333311032212.

212230113333030 is a `hidden beast` number, since 2 + 1 + 2 + 23 + 0 + 1 + 1 + 333 + 303 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 212230113332985 and 212230113333003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 90174172 + ... + 92497791.

It is an arithmetic number, because the mean of its divisors is an integer number (4775958498780).

Almost surely, 2212230113333030 is an apocalyptic number.

212230113333030 is an abundant number, since it is smaller than the sum of its proper divisors (399092574510810).

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

212230113333030 is a wasteful number, since it uses less digits than its factorization.

212230113333030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182672323 (or 182672317 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 212230113333030 its reverse (30333311032212), we get a palindrome (242563424365242).

The spelling of 212230113333030 in words is "two hundred twelve trillion, two hundred thirty billion, one hundred thirteen million, three hundred thirty-three thousand, thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 195 234 270 331 351 390 585 662 702 993 1170 1655 1755 1986 2979 3310 3510 4303 4965 5958 8606 8937 9930 12909 14895 17874 21515 25818 29790 38727 43030 44685 64545 77454 89370 116181 129090 193635 232362 387270 580905 1161810 182671963 365343926 548015889 913359815 1096031778 1644047667 1826719630 2374735519 2740079445 3288095334 4749471038 4932143001 5480158890 7124206557 8220238335 9864286002 11873677595 14248413114 16440476670 21372619671 23747355190 24660715005 35621032785 42745239342 49321430010 60464419753 64117859013 71242065570 106863098355 120928839506 128235718026 181393259259 213726196710 302322098765 320589295065 362786518518 544179777777 604644197530 641178590130 786037456789 906966296295 1088359555554 1572074913578 1632539333331 1813932592590 2358112370367 2720898888885 3265078666662 3930187283945 4716224740734 5441797777770 7074337111101 7860374567890 8162696666655 11790561851835 14148674222202 16325393333310 21223011333303 23581123703670 35371685555505 42446022666606 70743371111010 106115056666515 212230113333030