Search a number
-
+
2330710309312 = 26711319205721
BaseRepresentation
bin100001111010101001001…
…010001111100111000000
322020210222012122020021121
4201322221022033213000
5301141243314344222
64542414042402024
7330250113516040
oct41725112174700
98223865566247
102330710309312
118194a3232000
1231785a200314
1313ba28966a28
1480b424d9720
15409618225c7
hex21ea928f9c0

2330710309312 has 224 divisors, whose sum is σ = 6119916802560. Its totient is φ = 860271667200.

The previous prime is 2330710309247. The next prime is 2330710309349. The reversal of 2330710309312 is 2139030170332.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11226612 + ... + 11432332.

Almost surely, 22330710309312 is an apocalyptic number.

2330710309312 is a gapful number since it is divisible by the number (22) 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 2330710309312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3059958401280).

2330710309312 is an abundant number, since it is smaller than the sum of its proper divisors (3789206493248).

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

2330710309312 is a wasteful number, since it uses less digits than its factorization.

2330710309312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205792 (or 205760 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 34.

Adding to 2330710309312 its reverse (2139030170332), we get a palindrome (4469740479644).

The spelling of 2330710309312 in words is "two trillion, three hundred thirty billion, seven hundred ten million, three hundred nine thousand, three hundred twelve".