Search a number
-
+
10425300352401 = 311716323703709
BaseRepresentation
bin1001011110110101010001…
…0100101111110110010001
31100220122112002212200200010
42113231110110233312101
52331302003342234101
634101152235345133
72124126442604544
oct227552424576621
940818462780603
1010425300352401
11335a388297670
1212045abbb21a9
135a81422c238c
1428083150085b
151312bca8c2d6
hex97b5452fd91

10425300352401 has 32 divisors (see below), whose sum is σ = 15380105610240. Its totient is φ = 6228378766400.

The previous prime is 10425300352387. The next prime is 10425300352427.

10425300352401 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 10425300352401 - 210 = 10425300351377 is a prime.

It is a super-4 number, since 4×104253003524014 (a number of 53 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (10425308352401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14462935 + ... + 15166643.

It is an arithmetic number, because the mean of its divisors is an integer number (480628300320).

Almost surely, 210425300352401 is an apocalyptic number.

10425300352401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10425300352401 is a deficient number, since it is larger than the sum of its proper divisors (4954805257839).

10425300352401 is a wasteful number, since it uses less digits than its factorization.

10425300352401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710117.

The product of its (nonzero) digits is 14400, while the sum is 30.

It can be divided in two parts, 10425300 and 352401, that added together give a palindrome (10777701).

The spelling of 10425300352401 in words is "ten trillion, four hundred twenty-five billion, three hundred million, three hundred fifty-two thousand, four hundred one".

Divisors: 1 3 11 33 71 213 781 2343 6323 18969 69553 208659 448933 703709 1346799 2111127 4938263 7740799 14814789 23222397 49963339 149890017 549596729 1648790187 4449552007 13348656021 48945072077 146835216231 315918192497 947754577491 3475100117467 10425300352401