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23310244201332 = 223112373971092919
BaseRepresentation
bin1010100110011010101101…
…10100110100001101110100
310001112102210222221011020010
411103031112310310031310
511023403340003420312
6121324324531340220
74624052403334464
oct523152664641564
9101472728834203
1023310244201332
117477901178100
122745821751670
1310011ba0c1c1a
145a8316a25ba4
152a65462d293c
hex153356d34374

23310244201332 has 144 divisors (see below), whose sum is σ = 61555195425920. Its totient is φ = 6855481163520.

The previous prime is 23310244201313. The next prime is 23310244201333.

It is a happy number.

23310244201332 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 23310244201332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23310244201333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20781969 + ... + 21874887.

Almost surely, 223310244201332 is an apocalyptic number.

23310244201332 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 23310244201332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30777597712960).

23310244201332 is an abundant number, since it is smaller than the sum of its proper divisors (38244951224588).

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

23310244201332 is a wasteful number, since it uses less digits than its factorization.

23310244201332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093382 (or 1093369 counting only the distinct ones).

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

It can be divided in two parts, 2331024 and 4201332, that added together give a palindrome (6532356).

The spelling of 23310244201332 in words is "twenty-three trillion, three hundred ten billion, two hundred forty-four million, two hundred one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 121 132 148 222 242 363 397 407 444 484 726 794 814 1191 1221 1452 1588 1628 2382 2442 4367 4477 4764 4884 8734 8954 13101 13431 14689 17468 17908 26202 26862 29378 44067 48037 52404 53724 58756 88134 96074 144111 161579 176268 192148 288222 323158 484737 576444 646316 969474 1092919 1777369 1938948 2185838 3278757 3554738 4371676 5332107 6557514 7109476 10664214 12022109 13115028 21328428 24044218 36066327 40438003 48088436 72132654 80876006 121314009 132243199 144265308 161752012 242628018 264486398 396729597 433888843 444818033 485256036 528972796 793459194 867777686 889636066 1301666529 1334454099 1586918388 1735555372 1779272132 2603333058 2668908198 4772777273 4892998363 5206666116 5337816396 9545554546 9785996726 14318331819 14678995089 16053887191 19091109092 19571993452 28636663638 29357990178 32107774382 48161661573 52500550003 57273327276 58715980356 64215548764 96323323146 105001100006 157501650009 176592759101 192646646292 210002200012 315003300018 353185518202 529778277303 630006600036 706371036404 1059556554606 1942520350111 2119113109212 3885040700222 5827561050333 7770081400444 11655122100666 23310244201332