Search a number
-
+
10501020000224 = 251371355532909
BaseRepresentation
bin1001100011001111010110…
…0100010001111111100000
31101011212222010202100022222
42120303311210101333200
52334022042110001344
634200034010250212
72132450031154355
oct230636544217740
941155863670288
1010501020000224
113389504035806
121217202426968
135b231b6c6a10
142843759c862c
151332503a85ee
hex98cf5911fe0

10501020000224 has 48 divisors (see below), whose sum is σ = 22577761916640. Its totient is φ = 4778362283520.

The previous prime is 10501020000193. The next prime is 10501020000239. The reversal of 10501020000224 is 42200002010501.

10501020000224 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-2 number, since 2×105010200002242 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 177736919 + ... + 177795990.

It is an arithmetic number, because the mean of its divisors is an integer number (470370039930).

Almost surely, 210501020000224 is an apocalyptic number.

It is an amenable number.

10501020000224 is an abundant number, since it is smaller than the sum of its proper divisors (12076741916416).

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

10501020000224 is a wasteful number, since it uses less digits than its factorization.

10501020000224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355533003 (or 355532995 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

Adding to 10501020000224 its reverse (42200002010501), we get a palindrome (52701022010725).

The spelling of 10501020000224 in words is "ten trillion, five hundred one billion, twenty million, two hundred twenty-four", and thus it is an aban number.

Divisors: 1 2 4 8 13 16 26 32 52 71 104 142 208 284 416 568 923 1136 1846 2272 3692 7384 14768 29536 355532909 711065818 1422131636 2844263272 4621927817 5688526544 9243855634 11377053088 18487711268 25242836539 36975422536 50485673078 73950845072 100971346156 147901690144 201942692312 328156875007 403885384624 656313750014 807770769248 1312627500028 2625255000056 5250510000112 10501020000224