Search a number
-
+
10517422471501 = 117966195319213
BaseRepresentation
bin1001100100001100011100…
…1110101111100101001101
31101020110022020220012221011
42121003013032233211031
52334304140123042001
634211345344205221
72133600350651341
oct231030716574515
941213266805834
1010517422471501
1133954608841a0
12121a41b609811
135b3a3397831a
142850901a5621
151338b039ed51
hex990c73af94d

10517422471501 has 32 divisors (see below), whose sum is σ = 11649180741120. Its totient is φ = 9415601395200.

The previous prime is 10517422471487. The next prime is 10517422471531.

It is a happy number.

10517422471501 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-10517422471501 is a prime.

It is a super-2 number, since 2×105174224715012 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10517422471531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 547402171 + ... + 547421383.

It is an arithmetic number, because the mean of its divisors is an integer number (364036898160).

Almost surely, 210517422471501 is an apocalyptic number.

10517422471501 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10517422471501 is a deficient number, since it is larger than the sum of its proper divisors (1131758269619).

10517422471501 is a wasteful number, since it uses less digits than its factorization.

10517422471501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20917.

The product of its (nonzero) digits is 78400, while the sum is 40.

The spelling of 10517422471501 in words is "ten trillion, five hundred seventeen billion, four hundred twenty-two million, four hundred seventy-one thousand, five hundred one".

Divisors: 1 11 79 661 869 953 7271 10483 19213 52219 75287 211343 574409 629933 828157 1517827 6929263 12699793 16696097 18309989 49764707 139697723 201409879 547411777 1003283647 1446489131 11036120117 12102902729 15911380441 133131930019 956129315591 10517422471501