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13110410340 = 2232577239431
BaseRepresentation
bin11000011010111000…
…01111110001100100
31020211200112211222100
430031130033301210
5203322231112330
610004533332100
7642613435446
oct141534176144
936750484870
1013110410340
115618537375
12265a797030
13130c21ba71
148c52aa496
1551aeb1060
hex30d70fc64

13110410340 has 72 divisors (see below), whose sum is σ = 39777611328. Its totient is φ = 3495286080.

The previous prime is 13110410329. The next prime is 13110410351. The reversal of 13110410340 is 4301401131.

13110410340 is a `hidden beast` number, since 1 + 311 + 0 + 4 + 10 + 340 = 666.

13110410340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13110410329) and next prime (13110410351).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 23 ways as a sum of consecutive naturals, for example, 1385425 + ... + 1394855.

It is an arithmetic number, because the mean of its divisors is an integer number (552466824).

Almost surely, 213110410340 is an apocalyptic number.

13110410340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13110410340 is an abundant number, since it is smaller than the sum of its proper divisors (26667200988).

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

13110410340 is a wasteful number, since it uses less digits than its factorization.

13110410340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17169 (or 17164 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13110410340 its reverse (4301401131), we get a palindrome (17411811471).

The spelling of 13110410340 in words is "thirteen billion, one hundred ten million, four hundred ten thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 7723 9431 15446 18862 23169 28293 30892 37724 38615 46338 47155 56586 69507 77230 84879 92676 94310 113172 115845 139014 141465 154460 169758 188620 231690 278028 282930 339516 347535 424395 463380 565860 695070 848790 1390140 1697580 72835613 145671226 218506839 291342452 364178065 437013678 655520517 728356130 874027356 1092534195 1311041034 1456712260 2185068390 2622082068 3277602585 4370136780 6555205170 13110410340