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23301323043222 = 23717149334576323
BaseRepresentation
bin1010100110001010000110…
…00101010011000110010110
310001111120210021012100221210
411103011003011103012112
511023232102144340342
6121320251404122250
74623315335624250
oct523050305230626
9101446707170853
1023301323043222
117474043436a64
122743b51b36386
1310003c7a87b43
145a7b0bc94cd0
152a61c2ecb79c
hex153143153196

23301323043222 has 128 divisors (see below), whose sum is σ = 56456140575744. Its totient is φ = 6258903810048.

The previous prime is 23301323043199. The next prime is 23301323043227. The reversal of 23301323043222 is 22234032310332.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 23301323043222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23301323043227) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 3685165753 + ... + 3685172075.

It is an arithmetic number, because the mean of its divisors is an integer number (441063598248).

Almost surely, 223301323043222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23301323043222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28228070287872).

23301323043222 is an abundant number, since it is smaller than the sum of its proper divisors (33154817532522).

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

23301323043222 is a wasteful number, since it uses less digits than its factorization.

23301323043222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11302.

The product of its (nonzero) digits is 31104, while the sum is 30.

Adding to 23301323043222 its reverse (22234032310332), we get a palindrome (45535355353554).

The spelling of 23301323043222 in words is "twenty-three trillion, three hundred one billion, three hundred twenty-three million, forty-three thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 119 238 357 714 1493 2986 3457 4479 6323 6914 8958 10371 10451 12646 18969 20742 20902 24199 25381 31353 37938 44261 48398 50762 58769 62706 72597 76143 88522 107491 117538 132783 145194 152286 176307 177667 214982 265566 322473 352614 355334 411383 533001 644946 752437 822766 1066002 1234149 1504874 2257311 2468298 4514622 5161301 9440239 10322602 15483903 18880478 21858611 28320717 30967806 36129107 43717222 56641434 65575833 66081673 72258214 87742117 108387321 131151666 132163346 153010277 160484063 175484234 198245019 216774642 263226351 306020554 320968126 371596387 396490038 459030831 481452189 526452702 614194819 743192774 918061662 962904378 1114789161 1123388441 1228389638 1842584457 2229578322 2246776882 2601174709 3370165323 3685168914 5202349418 6740330646 7803524127 15607048254 32634906223 65269812446 97904718669 195809437338 228444343561 456888687122 554793405791 685333030683 1109586811582 1370666061366 1664380217373 3328760434746 3883553840537 7767107681074 11650661521611 23301323043222