Search a number
-
+
10200110301121 = 131867334201849
BaseRepresentation
bin1001010001101110010111…
…1100110111111111000001
31100010010021020001211000111
42110123211330313333001
52314104311214113441
633405511015151321
72101635146006026
oct224334574677701
940103236054014
1010200110301121
11328292a392074
121188a24375541
1358cb35286b20
1427398bb2354d
1512a4dce04081
hex946e5f37fc1

10200110301121 has 8 divisors (see below), whose sum is σ = 10984795610600. Its totient is φ = 9415433768832.

The previous prime is 10200110301089. The next prime is 10200110301221. The reversal of 10200110301121 is 12110301100201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1735292463025 + 8464817838096 = 1317305^2 + 2909436^2 .

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

It is not a de Polignac number, because 10200110301121 - 25 = 10200110301089 is a prime.

It is a super-3 number, since 3×102001103011213 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10200110301221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 326605 + ... + 4528453.

It is an arithmetic number, because the mean of its divisors is an integer number (1373099451325).

Almost surely, 210200110301121 is an apocalyptic number.

It is an amenable number.

10200110301121 is a deficient number, since it is larger than the sum of its proper divisors (784685309479).

10200110301121 is a wasteful number, since it uses less digits than its factorization.

10200110301121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4388595.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 10200110301121 its reverse (12110301100201), we get a palindrome (22310411401322).

The spelling of 10200110301121 in words is "ten trillion, two hundred billion, one hundred ten million, three hundred one thousand, one hundred twenty-one".

Divisors: 1 13 186733 2427529 4201849 54624037 784623869317 10200110301121