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13130333010 = 2335172860639
BaseRepresentation
bin11000011101010000…
…01111101101010010
31020220002001000202000
430032220033231102
5203342331124020
610010524334430
7643244663154
oct141650175522
936802030660
1013130333010
115628804593
1226653a4416
1313133a5c22
148c7bb4ad4
1551cae9090
hex30ea0fb52

13130333010 has 64 divisors (see below), whose sum is σ = 37073894400. Its totient is φ = 3295454976.

The previous prime is 13130332979. The next prime is 13130333011. The reversal of 13130333010 is 1033303131.

13130333010 is a `hidden beast` number, since 1 + 31 + 303 + 330 + 1 + 0 = 666.

13130333010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (13130333011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1425730 + ... + 1434909.

It is an arithmetic number, because the mean of its divisors is an integer number (579279600).

Almost surely, 213130333010 is an apocalyptic number.

13130333010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13130333010 is an abundant number, since it is smaller than the sum of its proper divisors (23943561390).

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

13130333010 is a wasteful number, since it uses less digits than its factorization.

13130333010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2860672 (or 2860666 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

Adding to 13130333010 its reverse (1033303131), we get a palindrome (14163636141).

The spelling of 13130333010 in words is "thirteen billion, one hundred thirty million, three hundred thirty-three thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 85 90 102 135 153 170 255 270 306 459 510 765 918 1530 2295 4590 2860639 5721278 8581917 14303195 17163834 25745751 28606390 42909585 48630863 51491502 77237253 85819170 97261726 128728755 145892589 154474506 243154315 257457510 291785178 386186265 437677767 486308630 729462945 772372530 875355534 1313033301 1458925890 2188388835 2626066602 4376777670 6565166505 13130333010