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2032131120 = 24358467213
BaseRepresentation
bin111100100011111…
…1101110000110000
312020121210221211120
41321013331300300
513130211143440
6533351342240
7101233554345
oct17107756060
95217727746
102032131120
119530a3208
12488681980
13265017366
14153c607cc
15bd60cdd0
hex791fdc30

2032131120 has 40 divisors (see below), whose sum is σ = 6299607216. Its totient is φ = 541901568.

The previous prime is 2032131119. The next prime is 2032131137. The reversal of 2032131120 is 211312302.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2032131120.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 4233367 + ... + 4233846.

Almost surely, 22032131120 is an apocalyptic number.

2032131120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2032131120 is an abundant number, since it is smaller than the sum of its proper divisors (4267476096).

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

2032131120 is a wasteful number, since it uses less digits than its factorization.

2032131120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8467229 (or 8467223 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2032131120 is about 45079.1650321964. The cubic root of 2032131120 is about 1266.6323493319.

Adding to 2032131120 its reverse (211312302), we get a palindrome (2243443422).

The spelling of 2032131120 in words is "two billion, thirty-two million, one hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 8467213 16934426 25401639 33868852 42336065 50803278 67737704 84672130 101606556 127008195 135475408 169344260 203213112 254016390 338688520 406426224 508032780 677377040 1016065560 2032131120