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214132122330 = 23572294452737
BaseRepresentation
bin1100011101101101000…
…1001110001011011010
3202110201020100212211120
43013123101032023122
512002020310403310
6242212042310110
721320252002560
oct3073321161332
9673636325746
10214132122330
11828a4000945
12356004b8336
131726710a839
14a514d4ba30
155883ea4b70
hex31db44e2da

214132122330 has 64 divisors (see below), whose sum is σ = 589898730240. Its totient is φ = 48730742784.

The previous prime is 214132122311. The next prime is 214132122353. The reversal of 214132122330 is 33221231412.

214132122330 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 214132122330.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2178279 + ... + 2274458.

It is an arithmetic number, because the mean of its divisors is an integer number (9217167660).

Almost surely, 2214132122330 is an apocalyptic number.

214132122330 is an abundant number, since it is smaller than the sum of its proper divisors (375766607910).

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

214132122330 is a wasteful number, since it uses less digits than its factorization.

214132122330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4452983.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 214132122330 its reverse (33221231412), we get a palindrome (247353353742).

The spelling of 214132122330 in words is "two hundred fourteen billion, one hundred thirty-two million, one hundred twenty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 229 458 687 1145 1374 1603 2290 3206 3435 4809 6870 8015 9618 16030 24045 48090 4452737 8905474 13358211 22263685 26716422 31169159 44527370 62338318 66791055 93507477 133582110 155845795 187014954 311691590 467537385 935074770 1019676773 2039353546 3059030319 5098383865 6118060638 7137737411 10196767730 14275474822 15295151595 21413212233 30590303190 35688687055 42826424466 71377374110 107066061165 214132122330