Search a number
-
+
10011201020988 = 22310171915597369
BaseRepresentation
bin1001000110101110101000…
…0101001010010000111100
31022110001122210221002000120
42101223222011022100330
52303010414430132423
633143025433454540
72052166615426206
oct221535205122074
938401583832016
1010011201020988
11320a7a9a91962
1211582a2b71450
1357808a906aab
1426878a9a9776
1512563348dee3
hex91aea14a43c

10011201020988 has 96 divisors (see below), whose sum is σ = 23641922304000. Its totient is φ = 3296867596800.

The previous prime is 10011201020963. The next prime is 10011201020999. The reversal of 10011201020988 is 88902010211001.

It is a super-2 number, since 2×100112010209882 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1358552568 + ... + 1358559936.

It is an arithmetic number, because the mean of its divisors is an integer number (246270024000).

Almost surely, 210011201020988 is an apocalyptic number.

It is an amenable number.

10011201020988 is an abundant number, since it is smaller than the sum of its proper divisors (13630721283012).

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

10011201020988 is a wasteful number, since it uses less digits than its factorization.

10011201020988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9755 (or 9753 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 33.

Adding to 10011201020988 its reverse (88902010211001), we get a palindrome (98913211231989).

The spelling of 10011201020988 in words is "ten trillion, eleven billion, two hundred one million, twenty thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 12 101 202 303 404 606 719 1212 1438 1559 2157 2876 3118 4314 4677 6236 7369 8628 9354 14738 18708 22107 29476 44214 72619 88428 145238 157459 217857 290476 314918 435714 472377 629836 744269 871428 944754 1120921 1488538 1889508 2232807 2241842 2977076 3362763 4465614 4483684 5298311 6725526 8931228 10596622 11488271 13451052 15894933 21193244 22976542 31789866 34464813 45953084 63579732 68929626 113213021 137859252 226426042 339639063 452852084 535129411 679278126 1070258822 1160315371 1358556252 1605388233 2140517644 2320630742 3210776466 3480946113 4641261484 6421552932 6961892226 8260066849 13923784452 16520133698 24780200547 33040267396 49560401094 99120802188 834266751749 1668533503498 2502800255247 3337067006996 5005600510494 10011201020988