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13024000010 = 2572364712503
BaseRepresentation
bin11000010000100101…
…00111100000001010
31020121122221202021202
430020102213200022
5203133121000020
65552205304202
7640514113340
oct141022474012
936548852252
1013024000010
115583787a7a
122635865062
1312c73559a8
148b7a15990
155135e2e75
hex3084a780a

13024000010 has 64 divisors (see below), whose sum is σ = 28002557952. Its totient is φ = 4264282176.

The previous prime is 13024000009. The next prime is 13024000013. The reversal of 13024000010 is 1000042031.

It is a happy number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13023999955 and 13024000000.

It is not an unprimeable number, because it can be changed into a prime (13024000013) 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, 1035419 + ... + 1047921.

It is an arithmetic number, because the mean of its divisors is an integer number (437539968).

Almost surely, 213024000010 is an apocalyptic number.

13024000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13024000010 is an abundant number, since it is smaller than the sum of its proper divisors (14978557942).

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

13024000010 is a wasteful number, since it uses less digits than its factorization.

13024000010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13187.

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 13024000010 its reverse (1000042031), we get a palindrome (14024042041).

The spelling of 13024000010 in words is "thirteen billion, twenty-four million, ten", and thus it is an aban number.

Divisors: 1 2 5 7 10 14 23 35 46 70 115 161 230 322 647 805 1294 1610 3235 4529 6470 9058 12503 14881 22645 25006 29762 45290 62515 74405 87521 104167 125030 148810 175042 208334 287569 437605 520835 575138 875210 1041670 1437845 2012983 2875690 4025966 8089441 10064915 16178882 20129830 40447205 56626087 80894410 113252174 186057143 283130435 372114286 566260870 930285715 1302400001 1860571430 2604800002 6512000005 13024000010