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23301423306 = 2337612933449
BaseRepresentation
bin10101101100110111…
…111000000011001010
32020010220201221122000
4111230313320003022
5340210131021211
614412102211430
71453300554510
oct255467700312
966126657560
1023301423306
119978056237
124623723b76
132274667a55
1411b09524b0
15915a00656
hex56cdf80ca

23301423306 has 128 divisors (see below), whose sum is σ = 60371136000. Its totient is φ = 6524167680.

The previous prime is 23301423293. The next prime is 23301423311. The reversal of 23301423306 is 60332410332.

It is a happy number.

23301423306 is a `hidden beast` number, since 2 + 330 + 1 + 4 + 23 + 306 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 23301423306.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6754270 + ... + 6757718.

It is an arithmetic number, because the mean of its divisors is an integer number (471649500).

Almost surely, 223301423306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23301423306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30185568000).

23301423306 is an abundant number, since it is smaller than the sum of its proper divisors (37069712694).

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

23301423306 is a wasteful number, since it uses less digits than its factorization.

23301423306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3821 (or 3815 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 23301423306 its reverse (60332410332), we get a palindrome (83633833638).

It can be divided in two parts, 2330 and 1423306, that added together give a square (1425636 = 11942).

The spelling of 23301423306 in words is "twenty-three billion, three hundred one million, four hundred twenty-three thousand, three hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 61 63 122 126 183 189 293 366 378 427 549 586 854 879 1098 1281 1647 1758 2051 2562 2637 3294 3449 3843 4102 5274 6153 6898 7686 7911 10347 11529 12306 15822 17873 18459 20694 23058 24143 31041 35746 36918 48286 53619 55377 62082 72429 93123 107238 110754 125111 144858 160857 186246 210389 217287 250222 321714 375333 420778 434574 482571 631167 651861 750666 965142 1010557 1125999 1262334 1303722 1472723 1893501 2021114 2251998 2945446 3031671 3377997 3787002 4418169 5680503 6063342 6755994 7073899 8836338 9095013 11361006 13254507 14147798 18190026 21221697 26509014 27285039 39763521 42443394 54570078 61643977 63665091 79527042 123287954 127330182 184931931 190995273 369863862 381990546 431507839 554795793 863015678 1109591586 1294523517 1664387379 2589047034 3328774758 3883570551 7767141102 11650711653 23301423306