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2901200193 = 331931182431
BaseRepresentation
bin1010110011101100…
…1100110101000001
321111012010020111000
42230323030311001
521420201401233
61155514442213
7131615536413
oct25473146501
97435106430
102901200193
111259719711
1268b733369
133730a1108
141d74489b3
1511ea79d13
hexaceccd41

2901200193 has 32 divisors (see below), whose sum is σ = 4670259200. Its totient is φ = 1773219600.

The previous prime is 2901200179. The next prime is 2901200233. The reversal of 2901200193 is 3910021092.

2901200193 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2901200193 - 26 = 2901200129 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2901200293) 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, 75313 + ... + 107118.

It is an arithmetic number, because the mean of its divisors is an integer number (145945600).

Almost surely, 22901200193 is an apocalyptic number.

It is an amenable number.

2901200193 is a deficient number, since it is larger than the sum of its proper divisors (1769059007).

2901200193 is a wasteful number, since it uses less digits than its factorization.

2901200193 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182490 (or 182484 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 2901200193 is about 53862.7904308717. The cubic root of 2901200193 is about 1426.2398472512.

The spelling of 2901200193 in words is "two billion, nine hundred one million, two hundred thousand, one hundred ninety-three".

Divisors: 1 3 9 19 27 31 57 93 171 279 513 589 837 1767 5301 15903 182431 547293 1641879 3466189 4925637 5655361 10398567 16966083 31195701 50898249 93587103 107451859 152694747 322355577 967066731 2901200193