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213221141304 = 233103853101119
BaseRepresentation
bin1100011010010011111…
…0000110101100111000
3202101100202012020210120
43012210332012230320
511443134103010204
6241541421013240
721255550540323
oct3064476065470
9671322166716
10213221141304
1182476859366
12353a73b4220
131715046ac02
14a469d737ba
15582e0096d9
hex31a4f86b38

213221141304 has 64 divisors (see below), whose sum is σ = 538864435200. Its totient is φ = 70300469376.

The previous prime is 213221141293. The next prime is 213221141317. The reversal of 213221141304 is 403141122312.

213221141304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2058057 + ... + 2159175.

It is an arithmetic number, because the mean of its divisors is an integer number (8419756800).

Almost surely, 2213221141304 is an apocalyptic number.

213221141304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

213221141304 is an abundant number, since it is smaller than the sum of its proper divisors (325643293896).

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

213221141304 is a wasteful number, since it uses less digits than its factorization.

213221141304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102084 (or 102080 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 213221141304 its reverse (403141122312), we get a palindrome (616362263616).

The spelling of 213221141304 in words is "two hundred thirteen billion, two hundred twenty-one million, one hundred forty-one thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 24 103 206 309 412 618 824 853 1236 1706 2472 2559 3412 5118 6824 10236 20472 87859 101119 175718 202238 263577 303357 351436 404476 527154 606714 702872 808952 1054308 1213428 2108616 2426856 10415257 20830514 31245771 41661028 62491542 83322056 86254507 124983084 172509014 249966168 258763521 345018028 517527042 690036056 1035054084 2070108168 8884214221 17768428442 26652642663 35536856884 53305285326 71073713768 106610570652 213221141304