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2131884927 = 3523381443
BaseRepresentation
bin111111100010001…
…1111101101111111
312111120111222100000
41333010133231333
513331230304202
6551313405343
7103554502644
oct17704375577
95446458300
102131884927
119a4436777
124b5b69853
1327c8a2a93
141631c9dcb
15c726491c
hex7f11fb7f

2131884927 has 24 divisors (see below), whose sum is σ = 3332294784. Its totient is φ = 1359459288.

The previous prime is 2131884883. The next prime is 2131884929. The reversal of 2131884927 is 7294881312.

It is a happy number.

It is not a de Polignac number, because 2131884927 - 210 = 2131883903 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131884929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 185133 + ... + 196310.

It is an arithmetic number, because the mean of its divisors is an integer number (138845616).

Almost surely, 22131884927 is an apocalyptic number.

2131884927 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

2131884927 is a deficient number, since it is larger than the sum of its proper divisors (1200409857).

2131884927 is an equidigital number, since it uses as much as digits as its factorization.

2131884927 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381481 (or 381469 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 2131884927 is about 46172.3394144156. The cubic root of 2131884927 is about 1287.0277758199.

The spelling of 2131884927 in words is "two billion, one hundred thirty-one million, eight hundred eighty-four thousand, nine hundred twenty-seven".

Divisors: 1 3 9 23 27 69 81 207 243 621 1863 5589 381443 1144329 3432987 8773189 10298961 26319567 30896883 78958701 92690649 236876103 710628309 2131884927