Search a number
-
+
120003130302000 = 243531137233210907
BaseRepresentation
bin11011010010010001100111…
…111101000001111000110000
3120201220012001110222212000120
4123102101213331001320300
5111212112402324131000
61103120402122050240
734163640303256101
oct3322214775017060
9521805043885016
10120003130302000
1135267050642460
12115614b1649980
1351c6328b0428a
14218c27aab43a8
15dd18543876a0
hex6d2467f41e30

120003130302000 has 640 divisors, whose sum is σ = 435331443575808. Its totient is φ = 28183790592000.

The previous prime is 120003130301981. The next prime is 120003130302017. The reversal of 120003130302000 is 203031300021.

It is a super-2 number, since 2×1200031303020002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 568880547 + ... + 569091453.

Almost surely, 2120003130302000 is an apocalyptic number.

120003130302000 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 120003130302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217665721787904).

120003130302000 is an abundant number, since it is smaller than the sum of its proper divisors (315328313273808).

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

120003130302000 is a wasteful number, since it uses less digits than its factorization.

120003130302000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211214 (or 211198 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 120003130302000 its reverse (203031300021), we get a palindrome (120206161602021).

The spelling of 120003130302000 in words is "one hundred twenty trillion, three billion, one hundred thirty million, three hundred two thousand".