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345122415325 = 52313190123201
BaseRepresentation
bin1010000010110101110…
…01100010001011011101
31012222211011201020001201
411001122321202023131
521123302314242300
6422314055035501
733635312061532
oct5013271421335
91188734636051
10345122415325
11123402673836
1256a7896bb91
132671120114c
14129bdb58d89
158e9dc2d66a
hex505ae622dd

345122415325 has 24 divisors (see below), whose sum is σ = 429563405736. Its totient is φ = 275059200000.

The previous prime is 345122415257. The next prime is 345122415343. The reversal of 345122415325 is 523514221543.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 202475700729 + 142646714596 = 449973^2 + 377686^2 .

It is not a de Polignac number, because 345122415325 - 211 = 345122413277 is a prime.

It is a Duffinian number.

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 23 ways as a sum of consecutive naturals, for example, 14863725 + ... + 14886925.

It is an arithmetic number, because the mean of its divisors is an integer number (17898475239).

Almost surely, 2345122415325 is an apocalyptic number.

It is an amenable number.

345122415325 is a deficient number, since it is larger than the sum of its proper divisors (84440990411).

345122415325 is a wasteful number, since it uses less digits than its factorization.

345122415325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25425 (or 25420 counting only the distinct ones).

The product of its digits is 144000, while the sum is 37.

Adding to 345122415325 its reverse (523514221543), we get a palindrome (868636636868).

The spelling of 345122415325 in words is "three hundred forty-five billion, one hundred twenty-two million, four hundred fifteen thousand, three hundred twenty-five".

Divisors: 1 5 25 313 1565 1901 7825 9505 23201 47525 116005 580025 595013 2975065 7261913 14875325 36309565 44105101 181547825 220525505 1102627525 13804896613 69024483065 345122415325