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10201200001 = 181102155201
BaseRepresentation
bin10011000000000100…
…11111010110000001
3222022221100122122021
421200002133112001
5131343001400001
64404131041441
7510536524606
oct114002372601
928287318567
1010201200001
114365347603
121b88440281
13c675a4a25
146cab786ad
153ea8a2ba1
hex26009f581

10201200001 has 8 divisors (see below), whose sum is σ = 10267792808. Its totient is φ = 10134720000.

The previous prime is 10201199999. The next prime is 10201200011. The reversal of 10201200001 is 10000210201.

It can be written as a sum of positive squares in 4 ways, for example, as 449440000 + 9751760001 = 21200^2 + 98751^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 10201200001 - 21 = 10201199999 is a prime.

It is a super-3 number, since 3×102012000013 (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10201200011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 157201 + ... + 212401.

It is an arithmetic number, because the mean of its divisors is an integer number (1283474101).

Almost surely, 210201200001 is an apocalyptic number.

It is an amenable number.

10201200001 is a deficient number, since it is larger than the sum of its proper divisors (66592807).

10201200001 is a wasteful number, since it uses less digits than its factorization.

10201200001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56403.

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 10201200001 its reverse (10000210201), we get a palindrome (20201410202).

It can be divided in two parts, 1020 and 1200001, that added together give a palindrome (1201021).

The spelling of 10201200001 in words is "ten billion, two hundred one million, two hundred thousand, one".

Divisors: 1 181 1021 55201 184801 9991381 56360221 10201200001