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131123123031 = 3114913803647
BaseRepresentation
bin111101000011110001…
…1000001001101010111
3110112110012021210210010
41322013203001031113
54122020004414111
6140123115331303
712321232104345
oct1720743011527
9415405253703
10131123123031
115067764808a
12214b4a50b33
13c498790284
1464bc706995
153626765aa6
hex1e878c1357

131123123031 has 8 divisors (see below), whose sum is σ = 174846091264. Its totient is φ = 87407785080.

The previous prime is 131123123023. The next prime is 131123123039. The reversal of 131123123031 is 130321321131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (131123123023) and next prime (131123123039).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 131123123031 - 23 = 131123123023 is a prime.

It is a super-2 number, since 2×1311231230312 (a number of 23 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 = 131123122989 and 131123123007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131123123039) 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 7 ways as a sum of consecutive naturals, for example, 1867351 + ... + 1936296.

It is an arithmetic number, because the mean of its divisors is an integer number (21855761408).

Almost surely, 2131123123031 is an apocalyptic number.

131123123031 is a deficient number, since it is larger than the sum of its proper divisors (43722968233).

131123123031 is a wasteful number, since it uses less digits than its factorization.

131123123031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3815141.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 131123123031 its reverse (130321321131), we get a palindrome (261444444162).

The spelling of 131123123031 in words is "one hundred thirty-one billion, one hundred twenty-three million, one hundred twenty-three thousand, thirty-one".

Divisors: 1 3 11491 34473 3803647 11410941 43707707677 131123123031