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13031302100 = 2252193675197
BaseRepresentation
bin11000010001011100…
…11110001111010100
31020122011200201212112
430020232132033110
5203142003131400
65553030010152
7640633145255
oct141056361724
936564621775
1013031302100
115587915163
1226381a6958
1312c8a1155b
148b8996b2c
15514086835
hex308b9e3d4

13031302100 has 36 divisors (see below), whose sum is σ = 28424485404. Its totient is φ = 5185505280.

The previous prime is 13031302079. The next prime is 13031302127. The reversal of 13031302100 is 120313031.

13031302100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 71301136 + 12960000964 = 8444^2 + 113842^2 .

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 318299 + ... + 356898.

It is an arithmetic number, because the mean of its divisors is an integer number (789569039).

Almost surely, 213031302100 is an apocalyptic number.

13031302100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13031302100 is an abundant number, since it is smaller than the sum of its proper divisors (15393183304).

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

13031302100 is a wasteful number, since it uses less digits than its factorization.

13031302100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675404 (or 675397 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 13031302100 its reverse (120313031), we get a palindrome (13151615131).

The spelling of 13031302100 in words is "thirteen billion, thirty-one million, three hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 193 386 772 965 1930 3860 4825 9650 19300 675197 1350394 2700788 3375985 6751970 13503940 16879925 33759850 67519700 130313021 260626042 521252084 651565105 1303130210 2606260420 3257825525 6515651050 13031302100