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3141123201 = 3217412931709
BaseRepresentation
bin1011101100111001…
…1011110010000001
322002220120120222100
42323032123302001
522413111420301
61235405101013
7140561051406
oct27316336201
98086516870
103141123201
11137209a397
12737b57769
133b09c5ba8
1421b2602ad
15135b6d286
hexbb39bc81

3141123201 has 48 divisors (see below), whose sum is σ = 4940928720. Its totient is φ = 1915146240.

The previous prime is 3141123199. The next prime is 3141123217. The reversal of 3141123201 is 1023211413.

3141123201 is a `hidden beast` number, since 31 + 411 + 23 + 201 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2322576 + 3138800625 = 1524^2 + 56025^2 .

It is not a de Polignac number, because 3141123201 - 21 = 3141123199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3141123241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1837135 + ... + 1838843.

It is an arithmetic number, because the mean of its divisors is an integer number (102936015).

Almost surely, 23141123201 is an apocalyptic number.

It is an amenable number.

3141123201 is a deficient number, since it is larger than the sum of its proper divisors (1799805519).

3141123201 is a wasteful number, since it uses less digits than its factorization.

3141123201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2066 (or 2063 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 3141123201 is about 56045.7241990859. The cubic root of 3141123201 is about 1464.5189319218.

Adding to 3141123201 its reverse (1023211413), we get a palindrome (4164334614).

The spelling of 3141123201 in words is "three billion, one hundred forty-one million, one hundred twenty-three thousand, two hundred one".

Divisors: 1 3 9 17 41 51 123 153 293 369 697 879 1709 2091 2637 4981 5127 6273 12013 14943 15381 29053 36039 44829 70069 87159 108117 204221 210207 261477 500737 612663 630621 1191173 1502211 1837989 3573519 4506633 8512529 10720557 20530217 25537587 61590651 76612761 184771953 349013689 1047041067 3141123201