Search a number
-
+
213220231032330 = 23352633002678933
BaseRepresentation
bin110000011110110000110100…
…001000010010111000001010
31000221221122200111200012101000
4300132300310020102320022
5210421400013121013310
62033252004421235430
762624440044062604
oct6036606410227012
91027848614605330
10213220231032330
1161a36212861275
121bab7613b62b76
1391c87737721c2
143a91cb2992174
15199b532d504c0
hexc1ec34212e0a

213220231032330 has 64 divisors (see below), whose sum is σ = 570749211774720. Its totient is φ = 56642535373248.

The previous prime is 213220231032323. The next prime is 213220231032337. The reversal of 213220231032330 is 33230132022312.

213220231032330 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 20 + 2 + 310 + 323 + 3 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (213220231032323) and next prime (213220231032337).

It is a super-2 number, since 2×2132202310323302 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 213220231032294 and 213220231032303.

It is not an unprimeable number, because it can be changed into a prime (213220231032337) 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 31 ways as a sum of consecutive naturals, for example, 1501268457 + ... + 1501410476.

It is an arithmetic number, because the mean of its divisors is an integer number (8917956433980).

Almost surely, 2213220231032330 is an apocalyptic number.

213220231032330 is an abundant number, since it is smaller than the sum of its proper divisors (357528980742390).

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

213220231032330 is a wasteful number, since it uses less digits than its factorization.

213220231032330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3002679212 (or 3002679206 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 213220231032330 its reverse (33230132022312), we get a palindrome (246450363054642).

The spelling of 213220231032330 in words is "two hundred thirteen trillion, two hundred twenty billion, two hundred thirty-one million, thirty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 263 270 526 789 1315 1578 2367 2630 3945 4734 7101 7890 11835 14202 23670 35505 71010 3002678933 6005357866 9008036799 15013394665 18016073598 27024110397 30026789330 45040183995 54048220794 81072331191 90080367990 135120551985 162144662382 270241103970 405361655955 789704559379 810723311910 1579409118758 2369113678137 3948522796895 4738227356274 7107341034411 7897045593790 11845568390685 14214682068822 21322023103233 23691136781370 35536705172055 42644046206466 71073410344110 106610115516165 213220231032330