Search a number
-
+
130213023132000 = 25353178327727763
BaseRepresentation
bin11101100110110110010100…
…111111010010100101100000
3122002001020120110121121212110
4131212312110333102211200
5114031402232410211000
61140535011554555320
736266403046355364
oct3546662477224540
9562036513547773
10130213023132000
113854303aa03236
12127301a5b98b40
13578705c9b4c13
1424224b5b0b2a4
15100c215edd850
hex766d94fd2960

130213023132000 has 768 divisors, whose sum is σ = 458779244571648. Its totient is φ = 32169450700800.

The previous prime is 130213023131929. The next prime is 130213023132011. The reversal of 130213023132000 is 231320312031.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4690150119 + ... + 4690177881.

It is an arithmetic number, because the mean of its divisors is an integer number (597368808036).

Almost surely, 2130213023132000 is an apocalyptic number.

130213023132000 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 130213023132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229389622285824).

130213023132000 is an abundant number, since it is smaller than the sum of its proper divisors (328566221439648).

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

130213023132000 is a wasteful number, since it uses less digits than its factorization.

130213023132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28168 (or 28150 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 130213023132000 its reverse (231320312031), we get a palindrome (130444343444031).

The spelling of 130213023132000 in words is "one hundred thirty trillion, two hundred thirteen billion, twenty-three million, one hundred thirty-two thousand".