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23201310330 = 2345112639901
BaseRepresentation
bin10101100110111001…
…111110011001111010
32012212221100200110000
4111212321332121322
5340004013412310
614354124333430
71450643612112
oct254671763172
965787320400
1023201310330
119926597940
1245b60a4276
1322599b49c3
1411a1532042
1590bd274c0
hex566e7e67a

23201310330 has 160 divisors (see below), whose sum is σ = 68322849408. Its totient is φ = 5602608000.

The previous prime is 23201310281. The next prime is 23201310331. The reversal of 23201310330 is 3301310232.

23201310330 is a `hidden beast` number, since 2 + 3 + 20 + 1 + 310 + 330 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (23201310331) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2338380 + ... + 2348280.

Almost surely, 223201310330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23201310330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34161424704).

23201310330 is an abundant number, since it is smaller than the sum of its proper divisors (45121539078).

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

23201310330 is a wasteful number, since it uses less digits than its factorization.

23201310330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10194 (or 10185 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 23201310330 its reverse (3301310232), we get a palindrome (26502620562).

The spelling of 23201310330 in words is "twenty-three billion, two hundred one million, three hundred ten thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 81 90 99 110 135 162 165 198 263 270 297 330 405 495 526 594 789 810 891 990 1315 1485 1578 1782 2367 2630 2893 2970 3945 4455 4734 5786 7101 7890 8679 8910 9901 11835 14202 14465 17358 19802 21303 23670 26037 28930 29703 35505 42606 43395 49505 52074 59406 71010 78111 86790 89109 99010 106515 108911 130185 148515 156222 178218 213030 217822 234333 260370 267327 297030 326733 390555 445545 468666 534654 544555 653466 781110 801981 891090 980199 1089110 1171665 1336635 1603962 1633665 1960398 2343330 2603963 2673270 2940597 3267330 4009905 4900995 5207926 5881194 7811889 8019810 8821791 9801990 13019815 14702985 15623778 17643582 23435667 26039630 28643593 29405970 39059445 44108955 46871334 57287186 70307001 78118890 85930779 88217910 117178335 140614002 143217965 171861558 210921003 234356670 257792337 286435930 351535005 421842006 429653895 515584674 703070010 773377011 859307790 1054605015 1288961685 1546754022 2109210030 2320131033 2577923370 3866885055 4640262066 7733770110 11600655165 23201310330