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13110435312420 = 22351911500381853
BaseRepresentation
bin1011111011001000001011…
…0101101111001100100100
31201102100022210000200000210
42332302002311233030210
53204300132414444140
643514503440335420
72522124544306305
oct276620265571444
951370283020023
1013110435312420
1141a5116a44536
121578a82314570
1374140240b924
14334796d627ac
1517b074abad80
hexbec82d6f324

13110435312420 has 48 divisors (see below), whose sum is σ = 38641283029440. Its totient is φ = 3312109973376.

The previous prime is 13110435312407. The next prime is 13110435312503. The reversal of 13110435312420 is 2421353401131.

It is a super-2 number, since 2×131104353124202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5750189787 + ... + 5750192066.

It is an arithmetic number, because the mean of its divisors is an integer number (805026729780).

Almost surely, 213110435312420 is an apocalyptic number.

13110435312420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13110435312420 is an abundant number, since it is smaller than the sum of its proper divisors (25530847717020).

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

13110435312420 is a wasteful number, since it uses less digits than its factorization.

13110435312420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11500381884 (or 11500381882 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 13110435312420 its reverse (2421353401131), we get a palindrome (15531788713551).

The spelling of 13110435312420 in words is "thirteen trillion, one hundred ten billion, four hundred thirty-five million, three hundred twelve thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 11500381853 23000763706 34501145559 46001527412 57501909265 69002291118 115003818530 138004582236 172505727795 218507255207 230007637060 345011455590 437014510414 655521765621 690022911180 874029020828 1092536276035 1311043531242 2185072552070 2622087062484 3277608828105 4370145104140 6555217656210 13110435312420