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213301234240 = 2654289155413
BaseRepresentation
bin1100011010100110111…
…1101000101001000000
3202101120022220101122121
43012221233220221000
511443320103443430
6241553401414024
721260542401403
oct3065157505100
9671508811577
10213301234240
1182507a93376
123540a19a314
1317163c31693
14a476861d3a
15583607aa7a
hex31a9be8a40

213301234240 has 56 divisors (see below), whose sum is σ = 508045257720. Its totient is φ = 85300051968.

The previous prime is 213301234219. The next prime is 213301234243. The reversal of 213301234240 is 42432103312.

It can be written as a sum of positive squares in 4 ways, for example, as 25403259456 + 187897974784 = 159384^2 + 433472^2 .

It is not an unprimeable number, because it can be changed into a prime (213301234243) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1294774 + ... + 1450186.

It is an arithmetic number, because the mean of its divisors is an integer number (9072236745).

Almost surely, 2213301234240 is an apocalyptic number.

213301234240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213301234240 is an abundant number, since it is smaller than the sum of its proper divisors (294744023480).

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

213301234240 is a wasteful number, since it uses less digits than its factorization.

213301234240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159719 (or 159709 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 213301234240 its reverse (42432103312), we get a palindrome (255733337552).

The spelling of 213301234240 in words is "two hundred thirteen billion, three hundred one million, two hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 4289 8578 17156 21445 34312 42890 68624 85780 137248 155413 171560 274496 310826 343120 621652 686240 777065 1243304 1372480 1554130 2486608 3108260 4973216 6216520 9946432 12433040 24866080 49732160 666566357 1333132714 2666265428 3332831785 5332530856 6665663570 10665061712 13331327140 21330123424 26662654280 42660246848 53325308560 106650617120 213301234240