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131100200331231 = 3192971247967181
BaseRepresentation
bin11101110011110000100100…
…110111101110011111011111
3122012012001112101000221021210
4131303300210313232133133
5114140421202241044411
61142454333421155503
736420451115213205
oct3563604467563737
9565161471027253
10131100200331231
113885531234801a
121285411b9bbb93
13581c907a02441
1424533d80d3075
15102533c91bca6
hex773c24dee7df

131100200331231 has 24 divisors (see below), whose sum is σ = 186386394566064. Its totient is φ = 81946516907520.

The previous prime is 131100200331229. The next prime is 131100200331259. The reversal of 131100200331231 is 132133002001131.

It is a happy number.

It is not a de Polignac number, because 131100200331231 - 21 = 131100200331229 is a prime.

It is a super-2 number, since 2×1311002003312312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131100200331198 and 131100200331207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131100200331271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 623878540 + ... + 624088641.

It is an arithmetic number, because the mean of its divisors is an integer number (7766099773586).

Almost surely, 2131100200331231 is an apocalyptic number.

131100200331231 is a deficient number, since it is larger than the sum of its proper divisors (55286194234833).

131100200331231 is a wasteful number, since it uses less digits than its factorization.

131100200331231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1247967319 (or 1247967300 counting only the distinct ones).

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

Adding to 131100200331231 its reverse (132133002001131), we get a palindrome (263233202332362).

The spelling of 131100200331231 in words is "one hundred thirty-one trillion, one hundred billion, two hundred million, three hundred thirty-one thousand, two hundred thirty-one".

Divisors: 1 3 19 57 97 291 361 1083 1843 5529 35017 105051 1247967181 3743901543 23711376439 71134129317 121052816557 363158449671 450516152341 1351548457023 2300003514583 6900010543749 43700066777077 131100200331231