Search a number
-
+
10001120093 = 10597943769
BaseRepresentation
bin10010101000001110…
…01111101101011101
3221210222212112121022
421110013033231131
5130440241320333
64332222413525
7502560055346
oct112407175535
927728775538
1010001120093
11427240a608
121b314312a5
13c34cc0253
146ac3750cd
153d802ec98
hex2541cfb5d

10001120093 has 4 divisors (see below), whose sum is σ = 10002074460. Its totient is φ = 10000165728.

The previous prime is 10001120081. The next prime is 10001120131. The reversal of 10001120093 is 39002110001.

It is a happy number.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 39002110001 = 42439192107.

It can be written as a sum of positive squares in 2 ways, for example, as 4739358649 + 5261761444 = 68843^2 + 72538^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001120093 - 26 = 10001120029 is a prime.

It is a super-3 number, since 3×100011200933 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001120593) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 461288 + ... + 482481.

It is an arithmetic number, because the mean of its divisors is an integer number (2500518615).

Almost surely, 210001120093 is an apocalyptic number.

It is an amenable number.

10001120093 is a deficient number, since it is larger than the sum of its proper divisors (954367).

10001120093 is an equidigital number, since it uses as much as digits as its factorization.

10001120093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954366.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 10001120093 its reverse (39002110001), we get a palindrome (49003230094).

The spelling of 10001120093 in words is "ten billion, one million, one hundred twenty thousand, ninety-three".

Divisors: 1 10597 943769 10001120093