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213242434320 = 2435911975313
BaseRepresentation
bin1100011010011000111…
…1010101001100010000
3202101102020021001022210
43012212033111030100
511443210030344240
6241543501232120
721256226533146
oct3064617251420
9671366231283
10213242434320
11824878820a3
12353b2562640
13171549b4a26
14a46cb17596
155830d13780
hex31a63d5310

213242434320 has 80 divisors (see below), whose sum is σ = 661777857792. Its totient is φ = 56802170880.

The previous prime is 213242434309. The next prime is 213242434343. The reversal of 213242434320 is 23434242312.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 15 ways as a sum of consecutive naturals, for example, 269017 + ... + 706296.

Almost surely, 2213242434320 is an apocalyptic number.

213242434320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213242434320 is an abundant number, since it is smaller than the sum of its proper divisors (448535423472).

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

213242434320 is a wasteful number, since it uses less digits than its factorization.

213242434320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976240 (or 976234 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 213242434320 its reverse (23434242312), we get a palindrome (236676676632).

The spelling of 213242434320 in words is "two hundred thirteen billion, two hundred forty-two million, four hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 911 1822 2733 3644 4555 5466 7288 9110 10932 13665 14576 18220 21864 27330 36440 43728 54660 72880 109320 218640 975313 1950626 2925939 3901252 4876565 5851878 7802504 9753130 11703756 14629695 15605008 19506260 23407512 29259390 39012520 46815024 58518780 78025040 117037560 234075120 888510143 1777020286 2665530429 3554040572 4442550715 5331060858 7108081144 8885101430 10662121716 13327652145 14216162288 17770202860 21324243432 26655304290 35540405720 42648486864 53310608580 71080811440 106621217160 213242434320