Search a number
-
+
13123020002313 = 3134133829242603
BaseRepresentation
bin1011111011110111000011…
…1100100001010000001001
31201110112210211100011010110
42332331300330201100021
53210001421110033223
643524344314104533
72523051445355304
oct276756074412011
951415724304113
1013123020002313
1141aa4947472a1
12157b3b4a1b149
1374265973b4b0
1433522c49db3b
1517b55e832d93
hexbef70f21409

13123020002313 has 32 divisors (see below), whose sum is σ = 19303553888640. Its totient is φ = 7878470837760.

The previous prime is 13123020002297. The next prime is 13123020002317. The reversal of 13123020002313 is 31320002032131.

13123020002313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13123020002313 - 24 = 13123020002297 is a prime.

It is a super-2 number, since 2×131230200023132 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13123020002313.

It is not an unprimeable number, because it can be changed into a prime (13123020002317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53971270 + ... + 54213872.

It is an arithmetic number, because the mean of its divisors is an integer number (603236059020).

Almost surely, 213123020002313 is an apocalyptic number.

13123020002313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13123020002313 is a deficient number, since it is larger than the sum of its proper divisors (6180533886327).

13123020002313 is a wasteful number, since it uses less digits than its factorization.

13123020002313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276489.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 13123020002313 its reverse (31320002032131), we get a palindrome (44443022034444).

The spelling of 13123020002313 in words is "thirteen trillion, one hundred twenty-three billion, twenty million, two thousand, three hundred thirteen".

Divisors: 1 3 13 39 41 123 533 1599 33829 101487 242603 439777 727809 1319331 1386989 3153839 4160967 9461517 9946723 18030857 29840169 54092571 129307399 387922197 8207016887 24621050661 106691219531 320073658593 336487692367 1009463077101 4374340000771 13123020002313