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830203051293 = 337112741145687
BaseRepresentation
bin11000001010010111111…
…01010011110100011101
32221100220021111201101000
430011023331103310131
5102100223440120133
61433220124340513
7113660130334110
oct14051375236435
92840807451330
10830203051293
112a00a5a85210
12114a953a4739
1360398426865
142c279748577
15168deb79413
hexc14bf53d1d

830203051293 has 64 divisors (see below), whose sum is σ = 1533989744640. Its totient is φ = 431114011200.

The previous prime is 830203051261. The next prime is 830203051331. The reversal of 830203051293 is 392150302038.

830203051293 is a `hidden beast` number, since 8 + 3 + 0 + 20 + 30 + 512 + 93 = 666.

It is not a de Polignac number, because 830203051293 - 25 = 830203051261 is a prime.

It is a super-3 number, since 3×8302030512933 (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (830203051213) 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, 5625696 + ... + 5771382.

It is an arithmetic number, because the mean of its divisors is an integer number (23968589760).

Almost surely, 2830203051293 is an apocalyptic number.

It is an amenable number.

830203051293 is a deficient number, since it is larger than the sum of its proper divisors (703786693347).

830203051293 is a wasteful number, since it uses less digits than its factorization.

830203051293 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148455 (or 148449 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

It can be divided in two parts, 83020 and 3051293, that added together give a palindrome (3134313).

The spelling of 830203051293 in words is "eight hundred thirty billion, two hundred three million, fifty-one thousand, two hundred ninety-three".

Divisors: 1 3 7 9 11 21 27 33 63 77 99 189 231 297 693 2079 2741 8223 19187 24669 30151 57561 74007 90453 145687 172683 211057 271359 437061 518049 633171 814077 1019809 1311183 1602557 1899513 3059427 3933549 4807671 5698539 9178281 11217899 14423013 27534843 33653697 43269039 100961091 302883273 399328067 1197984201 2795296469 3593952603 4392608737 8385889407 10781857809 13177826211 25157668221 30748261159 39533478633 75473004663 92244783477 118600435899 276734350431 830203051293