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13525242330 = 23517371136343
BaseRepresentation
bin11001001100010101…
…01101000111011010
31021220121010111111010
430212022231013122
5210144430223310
610114032514350
7656111443245
oct144612550732
937817114433
1013525242330
115810712826
1227556ab9b6
131377154392
1492441225c
15542604320
hex3262ad1da

13525242330 has 128 divisors (see below), whose sum is σ = 35616941568. Its totient is φ = 3273080832.

The previous prime is 13525242281. The next prime is 13525242331. The reversal of 13525242330 is 3324252531.

13525242330 is digitally balanced in base 2 and base 5, because in such bases 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 (30).

It is not an unprimeable number, because it can be changed into a prime (13525242331) 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 63 ways as a sum of consecutive naturals, for example, 2129139 + ... + 2135481.

It is an arithmetic number, because the mean of its divisors is an integer number (278257356).

Almost surely, 213525242330 is an apocalyptic number.

13525242330 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 13525242330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17808470784).

13525242330 is an abundant number, since it is smaller than the sum of its proper divisors (22091699238).

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

13525242330 is a wasteful number, since it uses less digits than its factorization.

13525242330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6520.

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 13525242330 its reverse (3324252531), we get a palindrome (16849494861).

The spelling of 13525242330 in words is "thirteen billion, five hundred twenty-five million, two hundred forty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 37 51 74 85 102 111 113 170 185 222 226 255 339 370 510 555 565 629 678 1110 1130 1258 1695 1887 1921 3145 3390 3774 3842 4181 5763 6290 6343 8362 9435 9605 11526 12543 12686 18870 19029 19210 20905 25086 28815 31715 38058 41810 57630 62715 63430 71077 95145 107831 125430 142154 190290 213231 215662 234691 323493 355385 426462 469382 539155 646986 704073 710770 716759 1066155 1078310 1173455 1408146 1433518 1617465 2132310 2150277 2346910 3234930 3520365 3583795 3989747 4300554 7040730 7167590 7979494 10751385 11969241 12184903 19948735 21502770 23938482 24369806 26520083 36554709 39897470 53040166 59846205 60924515 73109418 79560249 119692410 121849030 132600415 159120498 182773545 265200830 365547090 397801245 450841411 795602490 901682822 1352524233 2254207055 2705048466 4508414110 6762621165 13525242330