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131122150235253 = 361671077040571
BaseRepresentation
bin11101110100000101000001…
…001011111101110001110101
3122012021011012002122121000000
4131310011001023331301311
5114141301130430012003
61142512403443541513
736422156055264402
oct3564050113756165
9565234162577000
10131122150235253
1138863656507871
121285842698a899
1358219c5364428
1424544bb3532a9
151025bc49521a3
hex7741412fdc75

131122150235253 has 28 divisors (see below), whose sum is σ = 197770497992928. Its totient is φ = 86891325025320.

The previous prime is 131122150235233. The next prime is 131122150235267. The reversal of 131122150235253 is 352532051221131.

131122150235253 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 22 + 150 + 235 + 253 = 666.

It is not a de Polignac number, because 131122150235253 - 26 = 131122150235189 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131122150235233) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 538398543 + ... + 538642028.

It is an arithmetic number, because the mean of its divisors is an integer number (7063232071176).

Almost surely, 2131122150235253 is an apocalyptic number.

It is an amenable number.

131122150235253 is a deficient number, since it is larger than the sum of its proper divisors (66648347757675).

131122150235253 is an equidigital number, since it uses as much as digits as its factorization.

131122150235253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1077040756 (or 1077040741 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 131122150235253 in words is "one hundred thirty-one trillion, one hundred twenty-two billion, one hundred fifty million, two hundred thirty-five thousand, two hundred fifty-three".

Divisors: 1 3 9 27 81 167 243 501 729 1503 4509 13527 40581 121743 1077040571 3231121713 9693365139 29080095417 87240286251 179865775357 261720858753 539597326071 785162576259 1618791978213 4856375934639 14569127803917 43707383411751 131122150235253