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3013331131 = 2359261617
BaseRepresentation
bin1011001110011011…
…1100100010111011
321210000010002012201
42303212330202323
522132403044011
61215002051031
7134446614646
oct26346744273
97700102181
103013331131
111306a46308
127011a9a77
133903a1395
142082b6a5d
15129828cc1
hexb39bc8bb

3013331131 has 24 divisors (see below), whose sum is σ = 3256246944. Its totient is φ = 2782496640.

The previous prime is 3013331063. The next prime is 3013331137. The reversal of 3013331131 is 1311333103.

It is a happy number.

It is not a de Polignac number, because 3013331131 - 27 = 3013331003 is a prime.

It is a super-2 number, since 2×30133311312 = 18160329010107478322, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3013331099 and 3013331108.

It is not an unprimeable number, because it can be changed into a prime (3013331137) 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 23 ways as a sum of consecutive naturals, for example, 4883535 + ... + 4884151.

It is an arithmetic number, because the mean of its divisors is an integer number (135676956).

Almost surely, 23013331131 is an apocalyptic number.

3013331131 is a deficient number, since it is larger than the sum of its proper divisors (242915813).

3013331131 is an equidigital number, since it uses as much as digits as its factorization.

3013331131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 19.

The square root of 3013331131 is about 54893.8168740342. The cubic root of 3013331131 is about 1444.3827268171.

Adding to 3013331131 its reverse (1311333103), we get a palindrome (4324664234).

The spelling of 3013331131 in words is "three billion, thirteen million, three hundred thirty-one thousand, one hundred thirty-one".

Divisors: 1 23 59 61 617 1357 1403 3481 3599 14191 36403 37637 80063 82777 212341 837269 865651 2147777 2220583 4883843 49398871 51073409 131014397 3013331131