Search a number
-
+
103130301121200 = 243252106672685601
BaseRepresentation
bin10111011100101111100100…
…111101101100001010110000
3111112011011100000010120222200
4113130233210331230022300
5102004141324041334300
61003201223431303200
730502630000513143
oct2734574475541260
9445134300116880
10103130301121200
112a951351421881
12b69741521ab00
1345711b804b8a2
141b6776719a05a
15bdc9c8508200
hex5dcbe4f6c2b0

103130301121200 has 180 divisors, whose sum is σ = 357924476685048. Its totient is φ = 27498825216000.

The previous prime is 103130301121151. The next prime is 103130301121217. The reversal of 103130301121200 is 2121103031301.

103130301121200 is a `hidden beast` number, since 1 + 0 + 313 + 0 + 30 + 1 + 121 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 37058400 + ... + 39744000.

Almost surely, 2103130301121200 is an apocalyptic number.

103130301121200 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 103130301121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178962238342524).

103130301121200 is an abundant number, since it is smaller than the sum of its proper divisors (254794175563848).

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

103130301121200 is a wasteful number, since it uses less digits than its factorization.

103130301121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2696292 (or 2696278 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 103130301121200 its reverse (2121103031301), we get a palindrome (105251404152501).

The spelling of 103130301121200 in words is "one hundred three trillion, one hundred thirty billion, three hundred one million, one hundred twenty-one thousand, two hundred".