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180020120121 = 32295411274921
BaseRepresentation
bin1010011110101000001…
…0010000101000111001
3122012122220121121212100
42213222002100220321
510422140122320441
6214411115534013
716002031526232
oct2475202205071
9565586547770
10180020120121
116a389734786
122aa8045a309
1313c8bb6a54a
1489da756089
154a3937ecb6
hex29ea090a39

180020120121 has 24 divisors (see below), whose sum is σ = 269493012360. Its totient is φ = 115660742400.

The previous prime is 180020120107. The next prime is 180020120129. The reversal of 180020120121 is 121021020081.

It can be written as a sum of positive squares in 4 ways, for example, as 26548140096 + 153471980025 = 162936^2 + 391755^2 .

It is not a de Polignac number, because 180020120121 - 218 = 180019857977 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 180020120094 and 180020120103.

It is not an unprimeable number, because it can be changed into a prime (180020120129) 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, 496260 + ... + 778661.

It is an arithmetic number, because the mean of its divisors is an integer number (11228875515).

Almost surely, 2180020120121 is an apocalyptic number.

It is an amenable number.

180020120121 is a deficient number, since it is larger than the sum of its proper divisors (89472892239).

180020120121 is a wasteful number, since it uses less digits than its factorization.

180020120121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1275497 (or 1275494 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The spelling of 180020120121 in words is "one hundred eighty billion, twenty million, one hundred twenty thousand, one hundred twenty-one".

Divisors: 1 3 9 29 87 261 541 1623 4869 15689 47067 141201 1274921 3824763 11474289 36972709 110918127 332754381 689732261 2069196783 6207590349 20002235569 60006706707 180020120121