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213423121310032 = 24291097703547819
BaseRepresentation
bin110000100001101101110001…
…010101010010000101010000
31000222200001101021112012111201
4300201231301111102011100
5210433211023023410112
62033525121200120544
762645211622015324
oct6041556125220520
91028601337465451
10213423121310032
1162004268060927
121bb2a9b7606154
139211938809a6a
143a9ba3c877984
1519a1959de3257
hexc21b71552150

213423121310032 has 80 divisors (see below), whose sum is σ = 431747460144000. Its totient is φ = 102073166157312.

The previous prime is 213423121310023. The next prime is 213423121310059. The reversal of 213423121310032 is 230013121324312.

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, 389313019 + ... + 389860837.

It is an arithmetic number, because the mean of its divisors is an integer number (5396843251800).

Almost surely, 2213423121310032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213423121310032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215873730072000).

213423121310032 is an abundant number, since it is smaller than the sum of its proper divisors (218324338833968).

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

213423121310032 is a wasteful number, since it uses less digits than its factorization.

213423121310032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555668 (or 555662 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 213423121310032 its reverse (230013121324312), we get a palindrome (443436242634344).

The spelling of 213423121310032 in words is "two hundred thirteen trillion, four hundred twenty-three billion, one hundred twenty-one million, three hundred ten thousand, thirty-two".

Divisors: 1 2 4 8 16 29 58 109 116 218 232 436 464 872 1744 3161 6322 7703 12644 15406 25288 30812 50576 61624 123248 223387 446774 547819 839627 893548 1095638 1679254 1787096 2191276 3358508 3574192 4382552 6717016 8765104 13434032 15886751 24349183 31773502 48698366 59712271 63547004 97396732 119424542 127094008 194793464 238849084 254188016 389586928 477698168 955396336 1731655859 3463311718 4219849757 6926623436 8439699514 13853246872 16879399028 27706493744 33758798056 67517596112 122375642953 244751285906 459963623513 489502571812 919927247026 979005143624 1839854494052 1958010287248 3679708988104 7359417976208 13338945081877 26677890163754 53355780327508 106711560655016 213423121310032