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23201141304 = 233111271913623
BaseRepresentation
bin10101100110111001…
…010101001000111000
32012212221001002120210
4111212321111020320
5340003443010204
614354120551120
71450642306245
oct254671251070
965787032523
1023201141304
119926491950
1245b60224a0
132259955aa3
1411a14ca5cc
1590bce2389
hex566e55238

23201141304 has 128 divisors (see below), whose sum is σ = 64125665280. Its totient is φ = 6936854400.

The previous prime is 23201141291. The next prime is 23201141321. The reversal of 23201141304 is 40314110232.

It is a congruent number.

It is an unprimeable number.

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, 6402037 + ... + 6405659.

It is an arithmetic number, because the mean of its divisors is an integer number (500981760).

Almost surely, 223201141304 is an apocalyptic number.

23201141304 is a gapful number since it is divisible by the number (24) 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 23201141304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32062832640).

23201141304 is an abundant number, since it is smaller than the sum of its proper divisors (40924523976).

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

23201141304 is a wasteful number, since it uses less digits than its factorization.

23201141304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3961 (or 3957 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 23201141304 its reverse (40314110232), we get a palindrome (63515251536).

The spelling of 23201141304 in words is "twenty-three billion, two hundred one million, one hundred forty-one thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 127 132 191 254 264 381 382 508 573 762 764 1016 1146 1397 1524 1528 2101 2292 2794 3048 3623 4191 4202 4584 5588 6303 7246 8382 8404 10869 11176 12606 14492 16764 16808 21738 24257 25212 28984 33528 39853 43476 48514 50424 72771 79706 86952 97028 119559 145542 159412 194056 239118 266827 291084 318824 460121 478236 533654 582168 691993 800481 920242 956472 1067308 1380363 1383986 1600962 1840484 2075979 2134616 2760726 2767972 3201924 3680968 4151958 5061331 5521452 5535944 6403848 7611923 8303916 10122662 11042904 15183993 15223846 16607832 20245324 22835769 30367986 30447692 40490648 45671538 60735972 60895384 87883111 91343076 121471944 175766222 182686152 263649333 351532444 527298666 703064888 966714221 1054597332 1933428442 2109194664 2900142663 3866856884 5800285326 7733713768 11600570652 23201141304