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131330103123033 = 32137148771629223
BaseRepresentation
bin11101110111000110101100…
…001001010001110001011001
3122020000000221200200211120200
4131313012230021101301121
5114203203022344414113
61143152114432012413
736443200245542223
oct3567065411216131
9566000850624520
10131330103123033
11389338694982a1
12128907a1991109
1358384b620c859
1424605a7757413
15102b2e61b7873
hex7771ac251c59

131330103123033 has 24 divisors (see below), whose sum is σ = 191212207849728. Its totient is φ = 86855875495872.

The previous prime is 131330103123029. The next prime is 131330103123047. The reversal of 131330103123033 is 330321301033131.

131330103123033 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 30 + 10 + 312 + 303 + 3 = 666.

It is not a de Polignac number, because 131330103123033 - 22 = 131330103123029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131330103122988 and 131330103123006.

It is not an unprimeable number, because it can be changed into a prime (131330103123073) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33981141 + ... + 37648082.

It is an arithmetic number, because the mean of its divisors is an integer number (7967175327072).

Almost surely, 2131330103123033 is an apocalyptic number.

It is an amenable number.

131330103123033 is a deficient number, since it is larger than the sum of its proper divisors (59882104726695).

131330103123033 is a wasteful number, since it uses less digits than its factorization.

131330103123033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71630853 (or 71630850 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 131330103123033 its reverse (330321301033131), we get a palindrome (461651404156164).

The spelling of 131330103123033 in words is "one hundred thirty-one trillion, three hundred thirty billion, one hundred three million, one hundred twenty-three thousand, thirty-three".

Divisors: 1 3 9 137 411 1233 1487 4461 13383 203719 611157 1833471 71629223 214887669 644663007 9813203551 29439610653 88318831959 106512654601 319537963803 958613891409 14592233680337 43776701041011 131330103123033