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13123001210 = 25112313737861
BaseRepresentation
bin11000011100011000…
…10001101101111010
31020212120020112101212
430032030101231322
5203333442014320
610010103243122
7643125445514
oct141614215572
936776215355
1013123001210
115624657050
122662a494a2
131311a09997
148c6c26bb4
1551c14b9c5
hex30e311b7a

13123001210 has 64 divisors (see below), whose sum is σ = 27086171904. Its totient is φ = 4531084800.

The previous prime is 13123001161. The next prime is 13123001249. The reversal of 13123001210 is 1210032131.

13123001210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×131230012102 (a number of 21 digits) contains 22 as substring.

It is a Curzon 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 31 ways as a sum of consecutive naturals, for example, 327680 + ... + 365540.

It is an arithmetic number, because the mean of its divisors is an integer number (423221436).

Almost surely, 213123001210 is an apocalyptic number.

13123001210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13123001210 is an abundant number, since it is smaller than the sum of its proper divisors (13963170694).

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

13123001210 is a wasteful number, since it uses less digits than its factorization.

13123001210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38039.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 13123001210 its reverse (1210032131), we get a palindrome (14333033341).

The spelling of 13123001210 in words is "thirteen billion, one hundred twenty-three million, one thousand, two hundred ten".

Divisors: 1 2 5 10 11 22 23 46 55 110 115 137 230 253 274 506 685 1265 1370 1507 2530 3014 3151 6302 7535 15070 15755 31510 34661 37861 69322 75722 173305 189305 346610 378610 416471 832942 870803 1741606 2082355 4164710 4354015 5186957 8708030 9578833 10373914 19157666 25934785 47894165 51869570 57056527 95788330 114113054 119300011 238600022 285282635 570565270 596500055 1193000110 1312300121 2624600242 6561500605 13123001210