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201341334320 = 24571514495303
BaseRepresentation
bin1011101110000011100…
…0001111001100110000
3201020200211020112021022
42323200320033030300
511244321340144240
6232254523315012
720355266050460
oct2734070171460
9636624215238
10201341334320
117842aa30565
123303097ba68
1315ca919a119
149a602c1ba0
1553860cb9b5
hex2ee0e0f330

201341334320 has 160 divisors (see below), whose sum is σ = 539836876800. Its totient is φ = 68408524800.

The previous prime is 201341334277. The next prime is 201341334329. The reversal of 201341334320 is 23433143102.

It is a self number, because there is not a number n which added to its sum of digits gives 201341334320.

It is not an unprimeable number, because it can be changed into a prime (201341334329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37964789 + ... + 37970091.

It is an arithmetic number, because the mean of its divisors is an integer number (3373980480).

Almost surely, 2201341334320 is an apocalyptic number.

201341334320 is a gapful number since it is divisible by the number (20) 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 201341334320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269918438400).

201341334320 is an abundant number, since it is smaller than the sum of its proper divisors (338495542480).

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

201341334320 is a wasteful number, since it uses less digits than its factorization.

201341334320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5923 (or 5917 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 201341334320 its reverse (23433143102), we get a palindrome (224774477422).

The spelling of 201341334320 in words is "two hundred one billion, three hundred forty-one million, three hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 151 280 302 449 560 604 755 898 1057 1208 1510 1796 2114 2245 2416 3020 3143 3592 4228 4490 5285 5303 6040 6286 7184 8456 8980 10570 10606 12080 12572 15715 16912 17960 21140 21212 25144 26515 31430 35920 37121 42280 42424 50288 53030 62860 67799 74242 84560 84848 106060 125720 135598 148484 185605 212120 251440 271196 296968 338995 371210 424240 474593 542392 593936 677990 742420 800753 949186 1084784 1355980 1484840 1601506 1898372 2372965 2381047 2711960 2969680 3203012 3796744 4003765 4745930 4762094 5423920 5605271 6406024 7593488 8007530 9491860 9524188 11210542 11905235 12812048 16015060 16667329 18983720 19048376 22421084 23810470 28026355 32030120 33334658 37967440 38096752 44842168 47620940 56052710 64060240 66669316 83336645 89684336 95241880 112105420 133338632 166673290 190483760 224210840 266677264 333346580 359538097 448421680 666693160 719076194 1333386320 1438152388 1797690485 2516766679 2876304776 3595380970 5033533358 5752609552 7190761940 10067066716 12583833395 14381523880 20134133432 25167666790 28763047760 40268266864 50335333580 100670667160 201341334320