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1982288219901 = 31185969929383
BaseRepresentation
bin11100110110001001100…
…101011100111011111101
321000111122002000012022120
4130312021211130323331
5224434211241014101
64114352312033153
7263133643600143
oct34661145347375
97014562005276
101982288219901
116a47580272a0
122802203927b9
13114c0cc68a12
146bd2c44b593
153686d0a7b36
hex1cd8995cefd

1982288219901 has 16 divisors (see below), whose sum is σ = 2886684971520. Its totient is φ = 1199988195120.

The previous prime is 1982288219893. The next prime is 1982288219911. The reversal of 1982288219901 is 1099128822891.

It is not a de Polignac number, because 1982288219901 - 23 = 1982288219893 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1982288219911) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34936345 + ... + 34993038.

It is an arithmetic number, because the mean of its divisors is an integer number (180417810720).

Almost surely, 21982288219901 is an apocalyptic number.

1982288219901 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1982288219901 is a deficient number, since it is larger than the sum of its proper divisors (904396751619).

1982288219901 is a wasteful number, since it uses less digits than its factorization.

1982288219901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69930256.

The product of its (nonzero) digits is 2985984, while the sum is 60.

The spelling of 1982288219901 in words is "one trillion, nine hundred eighty-two billion, two hundred eighty-eight million, two hundred nineteen thousand, nine hundred one".

Divisors: 1 3 11 33 859 2577 9449 28347 69929383 209788149 769223213 2307669639 60069339997 180208019991 660762739967 1982288219901