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2993200101 = 33972574447
BaseRepresentation
bin1011001001101000…
…1001101111100101
321201121020022122000
42302122021233211
522112224400401
61213002355513
7134113531623
oct26232115745
97647208560
102993200101
1112a66465a1
126b64bbb99
13389173428
14205756513
15127b9e186
hexb2689be5

2993200101 has 32 divisors (see below), whose sum is σ = 4498529280. Its totient is φ = 1966768128.

The previous prime is 2993200099. The next prime is 2993200109. The reversal of 2993200101 is 1010023992.

It is not a de Polignac number, because 2993200101 - 21 = 2993200099 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2993200109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 670860 + ... + 675306.

It is an arithmetic number, because the mean of its divisors is an integer number (140579040).

Almost surely, 22993200101 is an apocalyptic number.

It is an amenable number.

2993200101 is a deficient number, since it is larger than the sum of its proper divisors (1505329179).

2993200101 is a wasteful number, since it uses less digits than its factorization.

2993200101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4810 (or 4804 counting only the distinct ones).

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

The square root of 2993200101 is about 54710.1462344966. The cubic root of 2993200101 is about 1441.1590624748.

The spelling of 2993200101 in words is "two billion, nine hundred ninety-three million, two hundred thousand, one hundred one".

Divisors: 1 3 9 27 97 257 291 771 873 2313 2619 4447 6939 13341 24929 40023 74787 120069 224361 431359 673083 1142879 1294077 3428637 3882231 10285911 11646693 30857733 110859263 332577789 997733367 2993200101