Search a number
-
+
12530232520 = 2351328385147
BaseRepresentation
bin10111010101101110…
…00010110011001000
31012100020211202121221
423222313002303020
5201130214420040
65431210211424
7622340135101
oct135267026310
935306752557
1012530232520
11534aa98173
122518423b74
131248c73690
1486c2033a8
154d50ab74a
hex2eadc2cc8

12530232520 has 64 divisors (see below), whose sum is σ = 30469360320. Its totient is φ = 4610145024.

The previous prime is 12530232479. The next prime is 12530232527. The reversal of 12530232520 is 2523203521.

12530232520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×125302325203 (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (12530232527) 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, 104587 + ... + 189733.

It is an arithmetic number, because the mean of its divisors is an integer number (476083755).

Almost surely, 212530232520 is an apocalyptic number.

12530232520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12530232520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15234680160).

12530232520 is an abundant number, since it is smaller than the sum of its proper divisors (17939127800).

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

12530232520 is a wasteful number, since it uses less digits than its factorization.

12530232520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85454 (or 85450 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The spelling of 12530232520 in words is "twelve billion, five hundred thirty million, two hundred thirty-two thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 283 520 566 1132 1415 2264 2830 3679 5660 7358 11320 14716 18395 29432 36790 73580 85147 147160 170294 340588 425735 681176 851470 1106911 1702940 2213822 3405880 4427644 5534555 8855288 11069110 22138220 24096601 44276440 48193202 96386404 120483005 192772808 240966010 313255813 481932020 626511626 963864040 1253023252 1566279065 2506046504 3132558130 6265116260 12530232520