Search a number
-
+
10001313303120 = 24325831060115787
BaseRepresentation
bin1001000110001001110010…
…1110100000101001010000
31022102010010201102222000200
42101202130232200221100
52302330142201144440
633134312341415200
72051366603262336
oct221423456405120
938363121388020
1010001313303120
1132065956980a7
1211563a370a500
13577173270669
142680cd713b56
151252553aec30
hex9189cba0a50

10001313303120 has 240 divisors, whose sum is σ = 33997775378112. Its totient is φ = 2634468710400.

The previous prime is 10001313303103. The next prime is 10001313303127. The reversal of 10001313303120 is 2130331310001.

It is a happy number.

10001313303120 is a `hidden beast` number, since 10 + 0 + 0 + 1 + 313 + 30 + 312 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10001313303093 and 10001313303102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001313303127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 633507867 + ... + 633523653.

Almost surely, 210001313303120 is an apocalyptic number.

10001313303120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10001313303120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16998887689056).

10001313303120 is an abundant number, since it is smaller than the sum of its proper divisors (23996462074992).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10001313303120 is a wasteful number, since it uses less digits than its factorization.

10001313303120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26490 (or 26481 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 10001313303120 its reverse (2130331310001), we get a palindrome (12131644613121).

The spelling of 10001313303120 in words is "ten trillion, one billion, three hundred thirteen million, three hundred three thousand, one hundred twenty".