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203144031131301 = 3513208733080843
BaseRepresentation
bin101110001100001000100111…
…110100000101011010100101
3222122021101020210212220100000
4232030020213310011122211
5203111302433432200201
62000015025104011513
760534446316064401
oct5614104764053245
9878241223786300
10203144031131301
115980099968a837
121a94a811000b99
138947527882360
14382431b684101
151874398378d86
hexb8c227d056a5

203144031131301 has 48 divisors (see below), whose sum is σ = 327721403894976. Its totient is φ = 125005681731456.

The previous prime is 203144031131281. The next prime is 203144031131317. The reversal of 203144031131301 is 103131130441302.

203144031131301 is a `hidden beast` number, since 2 + 0 + 3 + 1 + 4 + 40 + 311 + 3 + 1 + 301 = 666.

It is not a de Polignac number, because 203144031131301 - 226 = 203143964022437 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203144031131201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64397386 + ... + 67478228.

It is an arithmetic number, because the mean of its divisors is an integer number (6827529247812).

Almost surely, 2203144031131301 is an apocalyptic number.

It is an amenable number.

203144031131301 is a deficient number, since it is larger than the sum of its proper divisors (124577372763675).

203144031131301 is a wasteful number, since it uses less digits than its factorization.

203144031131301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3101744 (or 3101732 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 203144031131301 its reverse (103131130441302), we get a palindrome (306275161572603).

The spelling of 203144031131301 in words is "two hundred three trillion, one hundred forty-four billion, thirty-one million, one hundred thirty-one thousand, three hundred one".

Divisors: 1 3 9 13 27 39 81 117 243 351 1053 3159 20873 62619 187857 271349 563571 814047 1690713 2442141 3080843 5072139 7326423 9242529 21979269 27727587 40050959 65937807 83182761 120152877 249548283 360458631 748644849 1081375893 3244127679 9732383037 64306435939 192919307817 578757923451 835983667207 1736273770353 2507951001621 5208821311059 7523853004863 15626463933177 22571559014589 67714677043767 203144031131301