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201031330410 = 23355364721713
BaseRepresentation
bin1011101100111001100…
…1101010101001101010
3201012220012220200212000
42323032121222221222
511243203010033120
6232204051031430
720344513054131
oct2731631525152
9635805820760
10201031330410
1178290a43a89
1232b64b9b576
1315c59ba8a61
149a31066918
155368c93990
hex2ece66aa6a

201031330410 has 128 divisors (see below), whose sum is σ = 547067727360. Its totient is φ = 52513164288.

The previous prime is 201031330397. The next prime is 201031330411. The reversal of 201031330410 is 14033130102.

201031330410 is a `hidden beast` number, since 20 + 103 + 133 + 0 + 410 = 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 (201031330411) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9247714 + ... + 9269426.

It is an arithmetic number, because the mean of its divisors is an integer number (4273966620).

Almost surely, 2201031330410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201031330410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273533863680).

201031330410 is an abundant number, since it is smaller than the sum of its proper divisors (346036396950).

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

201031330410 is a wasteful number, since it uses less digits than its factorization.

201031330410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22429 (or 22423 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 201031330410 its reverse (14033130102), we get a palindrome (215064460512).

It can be divided in two parts, 201031 and 330410, that added together give a 12-th power (531441 = 312).

The spelling of 201031330410 in words is "two hundred one billion, thirty-one million, three hundred thirty thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 53 54 90 106 135 159 265 270 318 477 530 647 795 954 1294 1431 1590 1941 2385 2862 3235 3882 4770 5823 6470 7155 9705 11646 14310 17469 19410 21713 29115 34291 34938 43426 58230 65139 68582 87345 102873 108565 130278 171455 174690 195417 205746 217130 308619 325695 342910 390834 514365 586251 617238 651390 925857 977085 1028730 1150789 1172502 1543095 1851714 1954170 2301578 2931255 3086190 3452367 4629285 5753945 5862510 6904734 9258570 10357101 11507890 14048311 17261835 20714202 28096622 31071303 34523670 42144933 51785505 62142606 70241555 84289866 103571010 126434799 140483110 155356515 210724665 252869598 310713030 379304397 421449330 632173995 744560483 758608794 1264347990 1489120966 1896521985 2233681449 3722802415 3793043970 4467362898 6701044347 7445604830 11168407245 13402088694 20103133041 22336814490 33505221735 40206266082 67010443470 100515665205 201031330410