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13131431003430 = 23252371265923143
BaseRepresentation
bin1011111100010110011001…
…0001111100010100100110
31201111100112000010021120100
42333011212101330110212
53210121132314102210
643532255055044530
72523500046606405
oct277054621742446
951440460107510
1013131431003430
114203010513993
121580b61810746
1374339a17532c
143357c959363c
1517b8a2e665c0
hexbf16647c526

13131431003430 has 96 divisors (see below), whose sum is σ = 34170442225920. Its totient is φ = 3498770479680.

The previous prime is 13131431003417. The next prime is 13131431003441. The reversal of 13131431003430 is 3430013413131.

13131431003430 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 1 + 4 + 310 + 0 + 343 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13131431003394 and 13131431003403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 567392439 + ... + 567415581.

It is an arithmetic number, because the mean of its divisors is an integer number (355942106520).

Almost surely, 213131431003430 is an apocalyptic number.

13131431003430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13131431003430 is an abundant number, since it is smaller than the sum of its proper divisors (21039011222490).

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

13131431003430 is a wasteful number, since it uses less digits than its factorization.

13131431003430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28186 (or 28183 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 13131431003430 its reverse (3430013413131), we get a palindrome (16561444416561).

The spelling of 13131431003430 in words is "thirteen trillion, one hundred thirty-one billion, four hundred thirty-one million, three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 2371 2659 4742 5318 7113 7977 11855 13295 14226 15954 21339 23143 23710 23931 26590 35565 39885 42678 46286 47862 69429 71130 79770 106695 115715 119655 138858 208287 213390 231430 239310 347145 416574 694290 1041435 2082870 6304489 12608978 18913467 31522445 37826934 54872053 56740401 61537237 63044890 94567335 109744106 113480802 123074474 164616159 184611711 189134670 274360265 283702005 307686185 329232318 369223422 493848477 548720530 553835133 567404010 615372370 823080795 923058555 987696954 1107670266 1646161590 1846117110 2469242385 2769175665 4938484770 5538351330 145904788927 291809577854 437714366781 729523944635 875428733562 1313143100343 1459047889270 2188571833905 2626286200686 4377143667810 6565715501715 13131431003430