Search a number
-
+
10252234464021 = 32111011025325979
BaseRepresentation
bin1001010100110000100011…
…0010110001101100010101
31100022002210211212122100100
42111030020302301230111
52320433034010322041
633445451141004313
72105461633043364
oct225141062615425
940262724778310
1010252234464021
1132a2a48097150
121196b506b3699
13594a21124874
142762d45cd7db
1512ba3ded56b6
hex95308cb1b15

10252234464021 has 24 divisors (see below), whose sum is σ = 16314986993760. Its totient is φ = 6151955868000.

The previous prime is 10252234463987. The next prime is 10252234464053. The reversal of 10252234464021 is 12046443225201.

10252234464021 is a `hidden beast` number, since 1 + 0 + 2 + 5 + 2 + 2 + 3 + 4 + 4 + 640 + 2 + 1 = 666.

It is not a de Polignac number, because 10252234464021 - 213 = 10252234455829 is a prime.

It is a super-2 number, since 2×102522344640212 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10252234464071) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 512652991 + ... + 512672988.

It is an arithmetic number, because the mean of its divisors is an integer number (679791124740).

Almost surely, 210252234464021 is an apocalyptic number.

10252234464021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10252234464021 is a deficient number, since it is larger than the sum of its proper divisors (6062752529739).

10252234464021 is a wasteful number, since it uses less digits than its factorization.

10252234464021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025326097 (or 1025326094 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 10252234464021 its reverse (12046443225201), we get a palindrome (22298677689222).

It can be divided in two parts, 102522 and 34464021, that added together give a palindrome (34566543).

The spelling of 10252234464021 in words is "ten trillion, two hundred fifty-two billion, two hundred thirty-four million, four hundred sixty-four thousand, twenty-one".

Divisors: 1 3 9 11 33 99 101 303 909 1111 3333 9999 1025325979 3075977937 9227933811 11278585769 33835757307 101507271921 103557923879 310673771637 932021314911 1139137162669 3417411488007 10252234464021