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10133014032141 = 3711213371982483
BaseRepresentation
bin1001001101110100011010…
…1100111010111100001101
31022212201002011121012021020
42103131012230322330031
52312004403043012031
633315013053224353
72064041351066340
oct223350654727415
938781064535236
1010133014032141
113257429288100
121177a19a920b9
135867015b8510
14270624a14457
151288b26bd096
hex93746b3af0d

10133014032141 has 96 divisors (see below), whose sum is σ = 18282783160320. Its totient is φ = 4857622323840.

The previous prime is 10133014032103. The next prime is 10133014032257. The reversal of 10133014032141 is 14123041033101.

It is a happy number.

It is not a de Polignac number, because 10133014032141 - 214 = 10133014015757 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10133014032041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 122808486 + ... + 122890968.

It is an arithmetic number, because the mean of its divisors is an integer number (190445657920).

Almost surely, 210133014032141 is an apocalyptic number.

10133014032141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10133014032141 is a deficient number, since it is larger than the sum of its proper divisors (8149769128179).

10133014032141 is a wasteful number, since it uses less digits than its factorization.

10133014032141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86247 (or 86236 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 10133014032141 its reverse (14123041033101), we get a palindrome (24256055065242).

The spelling of 10133014032141 in words is "ten trillion, one hundred thirty-three billion, fourteen million, thirty-two thousand, one hundred forty-one".

Divisors: 1 3 7 11 13 21 33 39 77 91 121 143 231 273 363 429 847 1001 1573 2541 3003 3719 4719 11011 11157 26033 33033 40909 48347 78099 82483 122727 145041 247449 286363 338429 449999 531817 577381 859089 907313 1015287 1072279 1349997 1595451 1732143 2721939 3149993 3216837 3722719 5849987 6351191 7505953 9449979 9980443 11168157 11795069 17549961 19053573 22517859 29941329 35385207 40949909 69863101 82565483 122849727 129745759 209589303 247696449 306754277 389237277 908220313 920262831 2147279939 2724660939 3374297047 3987805601 6441839817 10122891141 11963416803 23620079329 27914639207 37117267517 43865861611 70860237987 83743917621 111351802551 131597584833 259820872619 307061031277 482524477721 779462617857 921183093831 1447573433163 3377671344047 10133014032141