Search a number
-
+
10120103313231 = 337679113425431
BaseRepresentation
bin1001001101000100010100…
…1010011011111101001111
31022211110202101210201102210
42103101011022123331033
52311301432422010411
633305040011521503
72063103410561412
oct223210512337517
938743671721383
1010120103313231
113251a0354297a
121175416159293
13585424876482
1426db5c089b79
151283a9004ca6
hex9344529bf4f

10120103313231 has 16 divisors (see below), whose sum is σ = 13860201189888. Its totient is φ = 6563424218400.

The previous prime is 10120103313227. The next prime is 10120103313293. The reversal of 10120103313231 is 13231330102101.

It is a happy number.

It is not a de Polignac number, because 10120103313231 - 22 = 10120103313227 is a prime.

It is a super-2 number, since 2×101201033132312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10120103313198 and 10120103313207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120103313431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5958915 + ... + 7466516.

It is an arithmetic number, because the mean of its divisors is an integer number (866262574368).

Almost surely, 210120103313231 is an apocalyptic number.

10120103313231 is a deficient number, since it is larger than the sum of its proper divisors (3740097876657).

10120103313231 is a wasteful number, since it uses less digits than its factorization.

10120103313231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13432262.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 10120103313231 its reverse (13231330102101), we get a palindrome (23351433415332).

The spelling of 10120103313231 in words is "ten trillion, one hundred twenty billion, one hundred three million, three hundred thirteen thousand, two hundred thirty-one".

Divisors: 1 3 37 111 6791 20373 251267 753801 13425431 40276293 496740947 1490222841 91172101921 273516305763 3373367771077 10120103313231