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13130303200 = 255272344697
BaseRepresentation
bin11000011101010000…
…01000011011100000
31020220001222111211221
430032220020123200
5203342324200300
610010523544424
7643244510230
oct141650103340
936801874757
1013130303200
115628794153
12266538b114
1313133954a1
148c7ba7cc0
1551cae031a
hex30ea086e0

13130303200 has 72 divisors (see below), whose sum is σ = 36633561552. Its totient is φ = 4501816320.

The previous prime is 13130303189. The next prime is 13130303201. The reversal of 13130303200 is 230303131.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13130303201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1166749 + ... + 1177948.

It is an arithmetic number, because the mean of its divisors is an integer number (508799466).

Almost surely, 213130303200 is an apocalyptic number.

13130303200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13130303200 is an abundant number, since it is smaller than the sum of its proper divisors (23503258352).

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

13130303200 is a wasteful number, since it uses less digits than its factorization.

13130303200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2344724 (or 2344711 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 13130303200 its reverse (230303131), we get a palindrome (13360606331).

The spelling of 13130303200 in words is "thirteen billion, one hundred thirty million, three hundred three thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 140 160 175 200 224 280 350 400 560 700 800 1120 1400 2800 5600 2344697 4689394 9378788 11723485 16412879 18757576 23446970 32825758 37515152 46893940 58617425 65651516 75030304 82064395 93787880 117234850 131303032 164128790 187575760 234469700 262606064 328257580 375151520 410321975 468939400 525212128 656515160 820643950 937878800 1313030320 1641287900 1875757600 2626060640 3282575800 6565151600 13130303200