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13131110300 = 22527111705339
BaseRepresentation
bin11000011101010110…
…01101011110011100
31020220010111111222112
430032223031132130
5203343031012200
610010553133152
7643254411260
oct141653153634
936803444875
1013131110300
115629195580
1226656ba1b8
1313135b8969
148c7d380a0
1551cbee535
hex30eacd79c

13131110300 has 72 divisors (see below), whose sum is σ = 35525642880. Its totient is φ = 4092811200.

The previous prime is 13131110281. The next prime is 13131110323. The reversal of 13131110300 is 301113131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 844970 + ... + 860369.

Almost surely, 213131110300 is an apocalyptic number.

13131110300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13131110300 is an abundant number, since it is smaller than the sum of its proper divisors (22394532580).

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

13131110300 is a wasteful number, since it uses less digits than its factorization.

13131110300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1705371 (or 1705364 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 13131110300 its reverse (301113131), we get a palindrome (13432223431).

The spelling of 13131110300 in words is "thirteen billion, one hundred thirty-one million, one hundred ten thousand, three hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 220 275 308 350 385 550 700 770 1100 1540 1925 3850 7700 1705339 3410678 6821356 8526695 11937373 17053390 18758729 23874746 34106780 37517458 42633475 47749492 59686865 75034916 85266950 93793645 119373730 131311103 170533900 187587290 238747460 262622206 298434325 375174580 468968225 525244412 596868650 656555515 937936450 1193737300 1313111030 1875872900 2626222060 3282777575 6565555150 13131110300