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2132042000 = 24531196911
BaseRepresentation
bin111111100010100…
…0110000100010000
312111120210221210112
41333011012010100
513331300321000
6551321020452
7103556025614
oct17705060420
95446727715
102132042000
119a4533790
124b6024728
1327c92941a
1416322b344
15c7296235
hex7f146110

2132042000 has 80 divisors (see below), whose sum is σ = 5623997184. Its totient is φ = 775280000.

The previous prime is 2132041993. The next prime is 2132042053. The reversal of 2132042000 is 2402312.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26456 + ... + 70455.

Almost surely, 22132042000 is an apocalyptic number.

2132042000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2132042000 is an abundant number, since it is smaller than the sum of its proper divisors (3491955184).

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

2132042000 is a wasteful number, since it uses less digits than its factorization.

2132042000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96945 (or 96929 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2132042000 is about 46174.0403257068. The cubic root of 2132042000 is about 1287.0593835843.

Adding to 2132042000 its reverse (2402312), we get a palindrome (2134444312).

The spelling of 2132042000 in words is "two billion, one hundred thirty-two million, forty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4400 5500 11000 22000 96911 193822 387644 484555 775288 969110 1066021 1550576 1938220 2132042 2422775 3876440 4264084 4845550 5330105 7752880 8528168 9691100 10660210 12113875 17056336 19382200 21320420 24227750 26650525 38764400 42640840 48455500 53301050 85281680 96911000 106602100 133252625 193822000 213204200 266505250 426408400 533010500 1066021000 2132042000