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3205312141 = 171924091277
BaseRepresentation
bin1011111100001101…
…0010111010001101
322021101100201122111
42333003102322031
523031024442031
61250020544021
7142300463233
oct27703227215
98241321574
103205312141
1113a53514a9
12755552011
133c10ab705
142259ac953
1513b5ec1b1
hexbf0d2e8d

3205312141 has 24 divisors (see below), whose sum is σ = 3593454840. Its totient is φ = 2848766976.

The previous prime is 3205312139. The next prime is 3205312147. The reversal of 3205312141 is 1412135023.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1853646916 + 1351665225 = 43054^2 + 36765^2 .

It is not a de Polignac number, because 3205312141 - 21 = 3205312139 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3205312147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2509395 + ... + 2510671.

It is an arithmetic number, because the mean of its divisors is an integer number (149727285).

Almost surely, 23205312141 is an apocalyptic number.

It is an amenable number.

3205312141 is a deficient number, since it is larger than the sum of its proper divisors (388142699).

3205312141 is a wasteful number, since it uses less digits than its factorization.

3205312141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1741 (or 1722 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 3205312141 is about 56615.4761615585. The cubic root of 3205312141 is about 1474.4275692758.

Adding to 3205312141 its reverse (1412135023), we get a palindrome (4617447164).

The spelling of 3205312141 in words is "three billion, two hundred five million, three hundred twelve thousand, one hundred forty-one".

Divisors: 1 17 19 323 361 409 1277 6137 6953 7771 21709 24263 132107 147649 412471 460997 522293 2510033 7836949 8878981 9923567 168700639 188547773 3205312141