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213141020334 = 231124141931981
BaseRepresentation
bin1100011010000000110…
…0011101111010101110
3202101011011102200111020
43012200030131322232
511443003100122314
6241525435435010
721253555531434
oct3064014357256
9671134380436
10213141020334
1182435605290
12353845b5a66
1317139997758
14a45d478d54
155826e7eda9
hex31a031deae

213141020334 has 64 divisors (see below), whose sum is σ = 468093669120. Its totient is φ = 64164672000.

The previous prime is 213141020299. The next prime is 213141020357. The reversal of 213141020334 is 433020141312.

It is a happy number.

213141020334 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 6648624 + ... + 6680604.

It is an arithmetic number, because the mean of its divisors is an integer number (7313963580).

Almost surely, 2213141020334 is an apocalyptic number.

213141020334 is an abundant number, since it is smaller than the sum of its proper divisors (254952648786).

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

213141020334 is a wasteful number, since it uses less digits than its factorization.

213141020334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32657.

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

Adding to 213141020334 its reverse (433020141312), we get a palindrome (646161161646).

The spelling of 213141020334 in words is "two hundred thirteen billion, one hundred forty-one million, twenty thousand, three hundred thirty-four".

Divisors: 1 2 3 6 11 22 33 66 241 419 482 723 838 1257 1446 2514 2651 4609 5302 7953 9218 13827 15906 27654 31981 63962 95943 100979 191886 201958 302937 351791 605874 703582 1055373 1110769 2110746 2221538 3332307 6664614 7707421 13400039 15414842 23122263 26800078 40200117 46244526 80400234 84781631 147400429 169563262 254344893 294800858 442201287 508689786 884402574 3229409399 6458818798 9688228197 19376456394 35523503389 71047006778 106570510167 213141020334