Search a number
-
+
1101113312201 = 72148115173329
BaseRepresentation
bin10000000001011111011…
…101111100001111001001
310220021011110221212221222
4100001133131330033021
5121020040001442301
62201502223411425
7142360420503500
oct20013735741711
93807143855858
101101113312201
11394a85838a21
121594a0753b75
137cab063a2a6
143b4192ad837
151d9985b631b
hex1005f77c3c9

1101113312201 has 12 divisors (see below), whose sum is σ = 1281751878420. Its totient is φ = 943174068480.

The previous prime is 1101113312179. The next prime is 1101113312263. The reversal of 1101113312201 is 1022133111011.

It can be written as a sum of positive squares in 2 ways, for example, as 900409312201 + 200704000000 = 948899^2 + 448000^2 .

It is not a de Polignac number, because 1101113312201 - 26 = 1101113312137 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1101113312201.

It is not an unprimeable number, because it can be changed into a prime (1101113312281) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7514096 + ... + 7659233.

It is an arithmetic number, because the mean of its divisors is an integer number (106812656535).

Almost surely, 21101113312201 is an apocalyptic number.

It is an amenable number.

1101113312201 is a deficient number, since it is larger than the sum of its proper divisors (180638566219).

1101113312201 is a wasteful number, since it uses less digits than its factorization.

1101113312201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15174824 (or 15174817 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 1101113312201 its reverse (1022133111011), we get a palindrome (2123246423212).

The spelling of 1101113312201 in words is "one trillion, one hundred one billion, one hundred thirteen million, three hundred twelve thousand, two hundred one".

Divisors: 1 7 49 1481 10367 72569 15173329 106213303 743493121 22471700249 157301901743 1101113312201