Search a number
-
+
213400310240 = 25513102596303
BaseRepresentation
bin1100011010111110100…
…1100101000111100000
3202101211020022222101002
43012233221211013200
511444020434411430
6242011301131132
721263154464615
oct3065751450740
9671736288332
10213400310240
1182558a03667
12354373b9aa8
131717b610730
14a485a9250c
15583eaeb845
hex31afa651e0

213400310240 has 48 divisors (see below), whose sum is σ = 542939640768. Its totient is φ = 78793959936.

The previous prime is 213400310239. The next prime is 213400310269. The reversal of 213400310240 is 42013004312.

213400310240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51296072 + ... + 51300231.

It is an arithmetic number, because the mean of its divisors is an integer number (11311242516).

Almost surely, 2213400310240 is an apocalyptic number.

213400310240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213400310240 is an abundant number, since it is smaller than the sum of its proper divisors (329539330528).

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

213400310240 is a wasteful number, since it uses less digits than its factorization.

213400310240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102596331 (or 102596323 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 213400310240 its reverse (42013004312), we get a palindrome (255413314552).

The spelling of 213400310240 in words is "two hundred thirteen billion, four hundred million, three hundred ten thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 102596303 205192606 410385212 512981515 820770424 1025963030 1333751939 1641540848 2051926060 2667503878 3283081696 4103852120 5335007756 6668759695 8207704240 10670015512 13337519390 16415408480 21340031024 26675038780 42680062048 53350077560 106700155120 213400310240