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13131230310 = 23251141323509
BaseRepresentation
bin11000011101010111…
…01010110001100110
31020220010201121121100
430032223222301212
5203343043332220
610010555500530
7643255421202
oct141653526146
936803647540
1013131230310
115629267760
122665757746
13131362b483
148c7d69b02
1551cc24d90
hex30eaeac66

13131230310 has 96 divisors (see below), whose sum is σ = 38153475360. Its totient is φ = 3105676800.

The previous prime is 13131230303. The next prime is 13131230323. The reversal of 13131230310 is 1303213131.

It is a happy number.

13131230310 is a `hidden beast` number, since 1 + 313 + 12 + 30 + 310 = 666.

It is a super-2 number, since 2×131312303102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 121165 + ... + 202344.

It is an arithmetic number, because the mean of its divisors is an integer number (397432035).

Almost surely, 213131230310 is an apocalyptic number.

13131230310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13131230310 is an abundant number, since it is smaller than the sum of its proper divisors (25022245050).

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

13131230310 is a wasteful number, since it uses less digits than its factorization.

13131230310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323574 (or 323571 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 13131230310 its reverse (1303213131), we get a palindrome (14434443441).

The spelling of 13131230310 in words is "thirteen billion, one hundred thirty-one million, two hundred thirty thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 41 45 55 66 82 90 99 110 123 165 198 205 246 330 369 410 451 495 615 738 902 990 1230 1353 1845 2255 2706 3690 4059 4510 6765 8118 13530 20295 40590 323509 647018 970527 1617545 1941054 2911581 3235090 3558599 4852635 5823162 7117198 9705270 10675797 13263869 14557905 17792995 21351594 26527738 29115810 32027391 35585990 39791607 53378985 64054782 66319345 79583214 106757970 119374821 132638690 145902559 160136955 198958035 238749642 291805118 320273910 397916070 437707677 596874105 729512795 875415354 1193748210 1313123031 1459025590 2188538385 2626246062 4377076770 6565615155 13131230310