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213110010 = 23253763997
BaseRepresentation
bin11001011001111…
…00110011111010
3112212000002222100
430230330303322
5414024010020
633051404230
75165255661
oct1454746372
9485002870
10213110010
11aa327783
125b453676
13351c75c9
1420435dd8
1513a98a90
hexcb3ccfa

213110010 has 48 divisors (see below), whose sum is σ = 569070216. Its totient is φ = 55292544.

The previous prime is 213109993. The next prime is 213110033. The reversal of 213110010 is 10011312.

It can be written as a sum of positive squares in 4 ways, for example, as 211789809 + 1320201 = 14553^2 + 1149^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 213109974 and 213110001.

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, 28669 + ... + 35328.

Almost surely, 2213110010 is an apocalyptic number.

213110010 is an abundant number, since it is smaller than the sum of its proper divisors (355960206).

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

213110010 is a wasteful number, since it uses less digits than its factorization.

213110010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64047 (or 64044 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 213110010 is about 14598.2879133137. The cubic root of 213110010 is about 597.3120596093.

Adding to 213110010 its reverse (10011312), we get a palindrome (223121322).

The spelling of 213110010 in words is "two hundred thirteen million, one hundred ten thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1110 1665 3330 63997 127994 191991 319985 383982 575973 639970 959955 1151946 1919910 2367889 2879865 4735778 5759730 7103667 11839445 14207334 21311001 23678890 35518335 42622002 71036670 106555005 213110010