Search a number
-
+
10252230530520 = 233511523118712511
BaseRepresentation
bin1001010100110000100010…
…0011110001010111011000
31100022002210120110210121010
42111030020203301113120
52320433032003434040
633445450520413520
72105461554441426
oct225141043612730
940262716423533
1010252230530520
1132a2a4594a920
121196b4b3172a0
13594a20378354
142762d3c88116
1512ba3d9a9e80
hex953088f15d8

10252230530520 has 256 divisors, whose sum is σ = 33647919022080. Its totient is φ = 2478349094400.

The previous prime is 10252230530519. The next prime is 10252230530537. The reversal of 10252230530520 is 2503503225201.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 819451065 + ... + 819463575.

It is an arithmetic number, because the mean of its divisors is an integer number (131437183680).

Almost surely, 210252230530520 is an apocalyptic number.

10252230530520 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 10252230530520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16823959511040).

10252230530520 is an abundant number, since it is smaller than the sum of its proper divisors (23395688491560).

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

10252230530520 is a wasteful number, since it uses less digits than its factorization.

10252230530520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14246 (or 14242 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

Adding to 10252230530520 its reverse (2503503225201), we get a palindrome (12755733755721).

The spelling of 10252230530520 in words is "ten trillion, two hundred fifty-two billion, two hundred thirty million, five hundred thirty thousand, five hundred twenty".