Search a number
-
+
343101003401310 = 2357115971293121013
BaseRepresentation
bin100111000000011000110110…
…1011011100000100001011110
31122222211010122211212021200220
41032000301231123200201132
5324432331323332320220
63213414231445302210
7132161141465534520
oct11600615533404136
91588733584767626
10343101003401310
119a360355882650
1232593333a04966
131195a393b6a29b
1460a226a21da10
15299eca015d540
hex1380c6d6e085e

343101003401310 has 512 divisors, whose sum is σ = 1062356851261440. Its totient is φ = 68861830195200.

The previous prime is 343101003401267. The next prime is 343101003401323. The reversal of 343101003401310 is 13104300101343.

It is a super-2 number, since 2×3431010034013102 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2835180364 + ... + 2835301376.

It is an arithmetic number, because the mean of its divisors is an integer number (2074915725120).

Almost surely, 2343101003401310 is an apocalyptic number.

343101003401310 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 343101003401310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531178425630720).

343101003401310 is an abundant number, since it is smaller than the sum of its proper divisors (719255847860130).

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

343101003401310 is a wasteful number, since it uses less digits than its factorization.

343101003401310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121464.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 343101003401310 its reverse (13104300101343), we get a palindrome (356205303502653).

The spelling of 343101003401310 in words is "three hundred forty-three trillion, one hundred one billion, three million, four hundred one thousand, three hundred ten".