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345201636131 = 11831517324919
BaseRepresentation
bin1010000010111111001…
…11101111001100100011
31020000000200210001120122
411001133213233030203
521123433104324011
6422330005030455
733640263331142
oct5013747571443
91200020701518
10345201636131
11123443362580
1256a9b3b542b
132672474a971
14129ca49b759
158ea5b7b3db
hex505f9ef323

345201636131 has 16 divisors (see below), whose sum is σ = 381161168640. Its totient is φ = 310005834720.

The previous prime is 345201636089. The next prime is 345201636191. The reversal of 345201636131 is 131636102543.

It is a cyclic number.

It is not a de Polignac number, because 345201636131 - 230 = 344127894307 is a prime.

It is a super-2 number, since 2×3452016361312 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 345201636091 and 345201636100.

It is not an unprimeable number, because it can be changed into a prime (345201636191) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13840490 + ... + 13865408.

It is an arithmetic number, because the mean of its divisors is an integer number (23822573040).

Almost surely, 2345201636131 is an apocalyptic number.

345201636131 is a deficient number, since it is larger than the sum of its proper divisors (35959532509).

345201636131 is a wasteful number, since it uses less digits than its factorization.

345201636131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40186.

The product of its (nonzero) digits is 38880, while the sum is 35.

Adding to 345201636131 its reverse (131636102543), we get a palindrome (476837738674).

The spelling of 345201636131 in words is "three hundred forty-five billion, two hundred one million, six hundred thirty-six thousand, one hundred thirty-one".

Divisors: 1 11 83 913 15173 24919 166903 274109 1259359 2068277 13852949 22751047 378095987 4159055857 31381966921 345201636131