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213012332033130 = 23257338114812751
BaseRepresentation
bin110000011011101111001100…
…011000100011010001101010
31000221012210001200000210000200
4300123233030120203101222
5210404443224000030010
62033012303040213030
762603430106536450
oct6033571430432152
91027183050023020
10213012332033130
1161966028238063
121ba8327300a176
1391b1c90b14106
143a85bcd7b89d0
151995e161d1cc0
hexc1bbcc62346a

213012332033130 has 48 divisors (see below), whose sum is σ = 632950929471744. Its totient is φ = 48688533036000.

The previous prime is 213012332033129. The next prime is 213012332033143. The reversal of 213012332033130 is 31330233210312.

213012332033130 is a `hidden beast` number, since 2 + 1 + 3 + 0 + 1 + 2 + 3 + 320 + 331 + 3 + 0 = 666.

It is a super-2 number, since 2×2130123320331302 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 213012332033094 and 213012332033103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 169057405746 + ... + 169057407005.

It is an arithmetic number, because the mean of its divisors is an integer number (13186477697328).

Almost surely, 2213012332033130 is an apocalyptic number.

213012332033130 is an abundant number, since it is smaller than the sum of its proper divisors (419938597438614).

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

213012332033130 is a wasteful number, since it uses less digits than its factorization.

213012332033130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338114812771 (or 338114812768 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 213012332033130 its reverse (31330233210312), we get a palindrome (244342565243442).

The spelling of 213012332033130 in words is "two hundred thirteen trillion, twelve billion, three hundred thirty-two million, thirty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 338114812751 676229625502 1014344438253 1690574063755 2028688876506 2366803689257 3043033314759 3381148127510 4733607378514 5071722191265 6086066629518 7100411067771 10143444382530 11834018446285 14200822135542 15215166573795 21301233203313 23668036892570 30430333147590 35502055338855 42602466406626 71004110677710 106506166016565 213012332033130