Search a number
-
+
31003123100131 = 7131731969327517
BaseRepresentation
bin1110000110010011110100…
…01000111010100111100011
311001202212110221210002221101
413003021322020322213203
513030423344003201011
6145534345500335231
76346621202143360
oct703117210724743
9131685427702841
1031003123100131
119973394816336
123588743244517
13143b774760320
147927b84c1467
1538b6e07ed2c1
hex1c327a23a9e3

31003123100131 has 16 divisors (see below), whose sum is σ = 38378254670784. Its totient is φ = 24388151958144.

The previous prime is 31003123100119. The next prime is 31003123100263. The reversal of 31003123100131 is 13100132130013.

It is not a de Polignac number, because 31003123100131 - 215 = 31003123067363 is a prime.

It is a super-2 number, since 2×310031231001312 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31003123100099 and 31003123100108.

It is not an unprimeable number, because it can be changed into a prime (31003123100731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 984648016 + ... + 984679501.

It is an arithmetic number, because the mean of its divisors is an integer number (2398640916924).

Almost surely, 231003123100131 is an apocalyptic number.

31003123100131 is a deficient number, since it is larger than the sum of its proper divisors (7375131570653).

31003123100131 is a wasteful number, since it uses less digits than its factorization.

31003123100131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1969327710.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 31003123100131 its reverse (13100132130013), we get a palindrome (44103255230144).

The spelling of 31003123100131 in words is "thirty-one trillion, three billion, one hundred twenty-three million, one hundred thousand, one hundred thirty-one".

Divisors: 1 7 13 91 173 1211 2249 15743 1969327517 13785292619 25601257721 179208804047 340693660441 2384855623087 4429017585733 31003123100131