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131034444323141 = 3137537692802979
BaseRepresentation
bin11101110010110011010101…
…100000011101100101000101
3122011221202210201111121211202
4131302303111200131211011
5114133332020221320031
61142404220453512245
736412632453316622
oct3562632540354505
9564852721447752
10131034444323141
113882a439839987
121284342a342685
1358166588c7308
14245015adc5349
15102378ebca2cb
hex772cd581d945

131034444323141 has 32 divisors (see below), whose sum is σ = 141722256614400. Its totient is φ = 120894907760640.

The previous prime is 131034444323129. The next prime is 131034444323213. The reversal of 131034444323141 is 141323444430131.

It is a cyclic number.

It is not a de Polignac number, because 131034444323141 - 214 = 131034444306757 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131034444323095 and 131034444323104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131034444323941) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45346790 + ... + 48149768.

It is an arithmetic number, because the mean of its divisors is an integer number (4428820519200).

Almost surely, 2131034444323141 is an apocalyptic number.

It is an amenable number.

131034444323141 is a deficient number, since it is larger than the sum of its proper divisors (10687812291259).

131034444323141 is a wasteful number, since it uses less digits than its factorization.

131034444323141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2803869.

The product of its (nonzero) digits is 165888, while the sum is 38.

Adding to 131034444323141 its reverse (141323444430131), we get a palindrome (272357888753272).

The spelling of 131034444323141 in words is "one hundred thirty-one trillion, thirty-four billion, four hundred forty-four million, three hundred twenty-three thousand, one hundred forty-one".

Divisors: 1 31 37 53 769 1147 1643 1961 23839 28453 40757 60791 882043 1263467 1508009 2802979 46748279 86892349 103710223 148557887 2155490851 3215016913 4605294497 5496641819 66820216381 79753161487 114241015103 170395896389 2472348006097 3541471468193 4226917558811 131034444323141