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13300124240 = 245132983737
BaseRepresentation
bin11000110001011111…
…11100101001010000
31021022220112022112002
430120233330221100
5204214312433430
610035431453132
7650406122264
oct143057745120
937286468462
1013300124240
115705634217
1226b22271a8
13133c614200
149025720a4
1552c987845
hex318bfca50

13300124240 has 60 divisors (see below), whose sum is σ = 33484474044. Its totient is φ = 4910810112.

The previous prime is 13300124231. The next prime is 13300124261. The reversal of 13300124240 is 4242100331.

13300124240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 4220321296 + 9079802944 = 64964^2 + 95288^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 478349 + ... + 505388.

Almost surely, 213300124240 is an apocalyptic number.

13300124240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13300124240 is an abundant number, since it is smaller than the sum of its proper divisors (20184349804).

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

13300124240 is a wasteful number, since it uses less digits than its factorization.

13300124240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983776 (or 983757 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 13300124240 its reverse (4242100331), we get a palindrome (17542224571).

The spelling of 13300124240 in words is "thirteen billion, three hundred million, one hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 169 208 260 338 520 676 845 1040 1352 1690 2704 3380 6760 13520 983737 1967474 3934948 4918685 7869896 9837370 12788581 15739792 19674740 25577162 39349480 51154324 63942905 78698960 102308648 127885810 166251553 204617296 255771620 332503106 511543240 665006212 831257765 1023086480 1330012424 1662515530 2660024848 3325031060 6650062120 13300124240