Search a number
-
+
120310101330000 = 2435447257332009
BaseRepresentation
bin11011010110101111100000…
…110110100100100001010000
3120202222112101211010210102220
4123112233200312210201100
5111232130041420030000
61103513410400341040
734225055316043311
oct3326574066444120
9522875354123386
10120310101330000
11353752557a521a
12115b0aa1614780
135219269c33a0a
14219d07b990608
15dd981da3b1a0
hex6d6be0da4850

120310101330000 has 400 divisors, whose sum is σ = 398184937032960. Its totient is φ = 31277809664000.

The previous prime is 120310101329917. The next prime is 120310101330019. The reversal of 120310101330000 is 33101013021.

It is a tau number, because it is divible by the number of its divisors (400).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 362203996 + ... + 362536004.

Almost surely, 2120310101330000 is an apocalyptic number.

120310101330000 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 120310101330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199092468516480).

120310101330000 is an abundant number, since it is smaller than the sum of its proper divisors (277874835702960).

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

120310101330000 is a wasteful number, since it uses less digits than its factorization.

120310101330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332344 (or 332323 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 120310101330000 its reverse (33101013021), we get a palindrome (120343202343021).

The spelling of 120310101330000 in words is "one hundred twenty trillion, three hundred ten billion, one hundred one million, three hundred thirty thousand".