Search a number
-
+
213002031040 = 2653023220189
BaseRepresentation
bin1100011001011111101…
…0010000111111000000
3202100210110220022000121
43012113322100333000
511442212004443130
6241503552430024
721250250251021
oct3062772207700
9670713808017
10213002031040
11823741035a7
1235345b48314
1317116c52476
14a448c18c48
155819b77d7a
hex3197e90fc0

213002031040 has 56 divisors (see below), whose sum is σ = 507381174720. Its totient is φ = 85172241408.

The previous prime is 213002030947. The next prime is 213002031043. The reversal of 213002031040 is 40130200312.

It is a happy number.

213002031040 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 (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213002031043) by changing a digit.

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, 857266 + ... + 1077454.

It is an arithmetic number, because the mean of its divisors is an integer number (9060378120).

Almost surely, 2213002031040 is an apocalyptic number.

213002031040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213002031040 is an abundant number, since it is smaller than the sum of its proper divisors (294379143680).

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

213002031040 is a wasteful number, since it uses less digits than its factorization.

213002031040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223229 (or 223219 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 213002031040 its reverse (40130200312), we get a palindrome (253132231352).

The spelling of 213002031040 in words is "two hundred thirteen billion, two million, thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 3023 6046 12092 15115 24184 30230 48368 60460 96736 120920 193472 220189 241840 440378 483680 880756 967360 1100945 1761512 2201890 3523024 4403780 7046048 8807560 14092096 17615120 35230240 70460480 665631347 1331262694 2662525388 3328156735 5325050776 6656313470 10650101552 13312626940 21300203104 26625253880 42600406208 53250507760 106501015520 213002031040