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2132819900 = 225223927313
BaseRepresentation
bin111111100100000…
…0011111110111100
312111122021110212122
41333020003332330
513332000214100
6551345422112
7103565445551
oct17710037674
95448243778
102132819900
119a4a15182
124b633a938
1327cb3c513
14163390a28
15c739b985
hex7f203fbc

2132819900 has 36 divisors (see below), whose sum is σ = 4829451312. Its totient is φ = 816034560.

The previous prime is 2132819893. The next prime is 2132819917. The reversal of 2132819900 is 99182312.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 461357 + ... + 465956.

Almost surely, 22132819900 is an apocalyptic number.

2132819900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2132819900 is an abundant number, since it is smaller than the sum of its proper divisors (2696631412).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2132819900 is a wasteful number, since it uses less digits than its factorization.

2132819900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927350 (or 927343 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 35.

The square root of 2132819900 is about 46182.4631218388. The cubic root of 2132819900 is about 1287.2158973478.

The spelling of 2132819900 in words is "two billion, one hundred thirty-two million, eight hundred nineteen thousand, nine hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 575 1150 2300 927313 1854626 3709252 4636565 9273130 18546260 21328199 23182825 42656398 46365650 85312796 92731300 106640995 213281990 426563980 533204975 1066409950 2132819900