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213423324312 = 233112275876067
BaseRepresentation
bin1100011011000100000…
…1010111110010011000
3202101212211122012202010
43012301001113302120
511444042332334222
6242013442305520
721263554216212
oct3066101276230
9671784565663
10213423324312
118256a9a2460
12354430582a0
131718330aa23
14a488b635b2
155841b4580c
hex31b1057c98

213423324312 has 128 divisors (see below), whose sum is σ = 585720253440. Its totient is φ = 64268542080.

The previous prime is 213423324311. The next prime is 213423324397.

It is a happy number.

213423324312 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 213423324312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213423324311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35174703 + ... + 35180769.

It is an arithmetic number, because the mean of its divisors is an integer number (4575939480).

Almost surely, 2213423324312 is an apocalyptic number.

213423324312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213423324312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292860126720).

213423324312 is an abundant number, since it is smaller than the sum of its proper divisors (372296929128).

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

213423324312 is a wasteful number, since it uses less digits than its factorization.

213423324312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6901 (or 6897 counting only the distinct ones).

The product of its digits is 20736, while the sum is 30.

It can be divided in two parts, 213423 and 324312, that added together give a palindrome (537735).

The spelling of 213423324312 in words is "two hundred thirteen billion, four hundred twenty-three million, three hundred twenty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 227 264 454 587 681 908 1174 1362 1761 1816 2348 2497 2724 3522 4696 4994 5448 6067 6457 7044 7491 9988 12134 12914 14088 14982 18201 19371 19976 24268 25828 29964 36402 38742 48536 51656 59928 66737 72804 77484 133249 133474 145608 154968 200211 266498 266948 399747 400422 532996 533896 799494 800844 1065992 1377209 1465739 1598988 1601688 2754418 2931478 3197976 3561329 4131627 4397217 5508836 5862956 7122658 8263254 8794434 10683987 11017672 11725912 14245316 15149299 16526508 17588868 21367974 28490632 30298598 33053016 35177736 39174619 42735948 45447897 60597196 78349238 85471896 90895794 117523857 121194392 156698476 181791588 235047714 313396952 363583176 470095428 808421683 940190856 1616843366 2425265049 3233686732 4850530098 6467373464 8892638513 9701060196 17785277026 19402120392 26677915539 35570554052 53355831078 71141108104 106711662156 213423324312