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13020013110 = 2351383939791
BaseRepresentation
bin11000010000000110…
…11010001000110110
31020121101110012021210
430020003122020312
5203131110404420
65551544022250
7640435166616
oct141003321066
936541405253
1013020013110
115581504615
122634461986
1312c658b090
148b7298a46
155130a69e0
hex3080da236

13020013110 has 64 divisors (see below), whose sum is σ = 33692682240. Its totient is φ = 3201025920.

The previous prime is 13020013079. The next prime is 13020013141. The reversal of 13020013110 is 1131002031.

It is an interprime number because it is at equal distance from previous prime (13020013079) and next prime (13020013141).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 307315 + ... + 347105.

It is an arithmetic number, because the mean of its divisors is an integer number (526448160).

Almost surely, 213020013110 is an apocalyptic number.

13020013110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13020013110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16846341120).

13020013110 is an abundant number, since it is smaller than the sum of its proper divisors (20672669130).

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

13020013110 is a wasteful number, since it uses less digits than its factorization.

13020013110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40653.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 13020013110 its reverse (1131002031), we get a palindrome (14151015141).

The spelling of 13020013110 in words is "thirteen billion, twenty million, thirteen thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 839 1678 2517 4195 5034 8390 10907 12585 21814 25170 32721 39791 54535 65442 79582 109070 119373 163605 198955 238746 327210 397910 517283 596865 1034566 1193730 1551849 2586415 3103698 5172830 7759245 15518490 33384649 66769298 100153947 166923245 200307894 333846490 434000437 500769735 868000874 1001539470 1302001311 2170002185 2604002622 4340004370 6510006555 13020013110