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13045131240 = 2335163666929
BaseRepresentation
bin11000010011000110…
…01110011111101000
31020200010201022212220
430021203032133220
5203204023144430
65554242234040
7641161533411
oct141143163750
936603638786
1013045131240
1155947001a9
122640955920
1312cb843c8b
148ba756808
155153b9110
hex3098ce7e8

13045131240 has 64 divisors (see below), whose sum is σ = 39375547200. Its totient is φ = 3457354752.

The previous prime is 13045131223. The next prime is 13045131241. The reversal of 13045131240 is 4213154031.

It is a happy number.

13045131240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13045131240.

It is not an unprimeable number, because it can be changed into a prime (13045131241) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 313905 + ... + 353024.

It is an arithmetic number, because the mean of its divisors is an integer number (615242925).

Almost surely, 213045131240 is an apocalyptic number.

13045131240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13045131240 is an abundant number, since it is smaller than the sum of its proper divisors (26330415960).

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

13045131240 is a wasteful number, since it uses less digits than its factorization.

13045131240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667106 (or 667102 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 13045131240 its reverse (4213154031), we get a palindrome (17258285271).

The spelling of 13045131240 in words is "thirteen billion, forty-five million, one hundred thirty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 163 326 489 652 815 978 1304 1630 1956 2445 3260 3912 4890 6520 9780 19560 666929 1333858 2000787 2667716 3334645 4001574 5335432 6669290 8003148 10003935 13338580 16006296 20007870 26677160 40015740 80031480 108709427 217418854 326128281 434837708 543547135 652256562 869675416 1087094270 1304513124 1630641405 2174188540 2609026248 3261282810 4348377080 6522565620 13045131240