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131123111331 = 31069115335461
BaseRepresentation
bin111101000011110001…
…0111110010110100011
3110112110012021012201210
41322013202332112203
54122020004030311
6140123115201203
712321232025262
oct1720742762643
9415405235653
10131123111331
115067763a313
12214b4a46203
13c498787b54
1464bc7025d9
1536267623a6
hex1e878be5a3

131123111331 has 16 divisors (see below), whose sum is σ = 175151073440. Its totient is φ = 87255429120.

The previous prime is 131123111309. The next prime is 131123111377. The reversal of 131123111331 is 133111321131.

It is not a de Polignac number, because 131123111331 - 26 = 131123111267 is a prime.

It is a super-2 number, since 2×1311231113312 (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 = 131123111298 and 131123111307.

It is not an unprimeable number, because it can be changed into a prime (131123111131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3679941 + ... + 3715401.

It is an arithmetic number, because the mean of its divisors is an integer number (10946942090).

Almost surely, 2131123111331 is an apocalyptic number.

131123111331 is a deficient number, since it is larger than the sum of its proper divisors (44027962109).

131123111331 is a wasteful number, since it uses less digits than its factorization.

131123111331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37686.

The product of its digits is 162, while the sum is 21.

Adding to 131123111331 its reverse (133111321131), we get a palindrome (264234432462).

The spelling of 131123111331 in words is "one hundred thirty-one billion, one hundred twenty-three million, one hundred eleven thousand, three hundred thirty-one".

Divisors: 1 3 1069 1153 3207 3459 35461 106383 1232557 3697671 37907809 40886533 113723427 122659599 43707703777 131123111331