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3130441101 = 34311398969
BaseRepresentation
bin1011101010010110…
…1011110110001101
322002011110212220000
42322211223312031
522402343103401
61234344114513
7140401211304
oct27245536615
98064425800
103130441101
111367063807
12734465a39
133ab725a18
14219a7d43b
15134c5d186
hexba96bd8d

3130441101 has 40 divisors (see below), whose sum is σ = 4862457600. Its totient is φ = 2004886080.

The previous prime is 3130441099. The next prime is 3130441169. The reversal of 3130441101 is 1011440313.

It is not a de Polignac number, because 3130441101 - 21 = 3130441099 is a prime.

It is a super-2 number, since 2×31304411012 = 19599322973660184402, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3130441001) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 344545 + ... + 353513.

It is an arithmetic number, because the mean of its divisors is an integer number (121561440).

Almost surely, 23130441101 is an apocalyptic number.

3130441101 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

3130441101 is a deficient number, since it is larger than the sum of its proper divisors (1732016499).

3130441101 is a wasteful number, since it uses less digits than its factorization.

3130441101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9151 (or 9142 counting only the distinct ones).

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

The square root of 3130441101 is about 55950.3449587221. The cubic root of 3130441101 is about 1462.8569038223.

Adding to 3130441101 its reverse (1011440313), we get a palindrome (4141881414).

The spelling of 3130441101 in words is "three billion, one hundred thirty million, four hundred forty-one thousand, one hundred one".

Divisors: 1 3 9 27 31 81 93 139 279 417 837 1251 2511 3753 4309 8969 11259 12927 26907 38781 80721 116343 242163 278039 349029 726489 834117 1246691 2502351 3740073 7507053 11220219 22521159 33660657 38647421 100981971 115942263 347826789 1043480367 3130441101