Search a number
-
+
10252430021 = 231074165961
BaseRepresentation
bin10011000110001011…
…11010101011000101
3222110111202102000102
421203011322223011
5131444110230041
64413201053445
7512031134351
oct114305725305
928414672012
1010252430021
114391258469
121ba1627285
13c750a0c52
146d38b2461
1540012209b
hex26317aac5

10252430021 has 8 divisors (see below), whose sum is σ = 10798173504. Its totient is φ = 9715018720.

The previous prime is 10252430009. The next prime is 10252430047. The reversal of 10252430021 is 12003425201.

10252430021 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10252430021 is a prime.

It is a super-2 number, since 2×102524300212 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10252429975 and 10252430002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10252430621) 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 7 ways as a sum of consecutive naturals, for example, 2080520 + ... + 2085441.

It is an arithmetic number, because the mean of its divisors is an integer number (1349771688).

Almost surely, 210252430021 is an apocalyptic number.

It is an amenable number.

10252430021 is a deficient number, since it is larger than the sum of its proper divisors (545743483).

10252430021 is a wasteful number, since it uses less digits than its factorization.

10252430021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4166091.

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 10252430021 its reverse (12003425201), we get a palindrome (22255855222).

The spelling of 10252430021 in words is "ten billion, two hundred fifty-two million, four hundred thirty thousand, twenty-one".

Divisors: 1 23 107 2461 4165961 95817103 445757827 10252430021