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10355001201 = 34127839521
BaseRepresentation
bin10011010010011010…
…01100011101110001
3222201122202120020000
421221031030131301
5132201340014301
64431303340213
7514415025606
oct115115143561
928648676200
1010355001201
114434145736
12200ba51669
13c90404b5c
147033726ad
15409133786
hex26934c771

10355001201 has 10 divisors (see below), whose sum is σ = 15468582162. Its totient is φ = 6903334080.

The previous prime is 10355001191. The next prime is 10355001211. The reversal of 10355001201 is 10210055301.

10355001201 is a `hidden beast` number, since 10 + 35 + 500 + 120 + 1 = 666.

10355001201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10355001191) and next prime (10355001211).

It can be written as a sum of positive squares in only one way, i.e., 8197491600 + 2157509601 = 90540^2 + 46449^2 .

It is not a de Polignac number, because 10355001201 - 25 = 10355001169 is a prime.

It is a super-3 number, since 3×103550012013 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (10355001211) 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 9 ways as a sum of consecutive naturals, for example, 63919680 + ... + 63919841.

Almost surely, 210355001201 is an apocalyptic number.

It is an amenable number.

10355001201 is a deficient number, since it is larger than the sum of its proper divisors (5113580961).

10355001201 is an equidigital number, since it uses as much as digits as its factorization.

10355001201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127839533 (or 127839524 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

Adding to 10355001201 its reverse (10210055301), we get a palindrome (20565056502).

The spelling of 10355001201 in words is "ten billion, three hundred fifty-five million, one thousand, two hundred one".

Divisors: 1 3 9 27 81 127839521 383518563 1150555689 3451667067 10355001201