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2132311000 = 23532132311
BaseRepresentation
bin111111100011000…
…0111101111011000
312111121022121210111
41333012013233120
513331332423000
6551330454104
7103561226101
oct17706075730
95447277714
102132311000
119a46a78a6
124b6134334
1327c9c19b1
1416329b3a8
15c72eacba
hex7f187bd8

2132311000 has 32 divisors (see below), whose sum is σ = 4989610080. Its totient is φ = 852924000.

The previous prime is 2132310997. The next prime is 2132311009. The reversal of 2132311000 is 1132312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2132311009) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1065156 + ... + 1067155.

It is an arithmetic number, because the mean of its divisors is an integer number (155925315).

Almost surely, 22132311000 is an apocalyptic number.

2132311000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2132311000 is an abundant number, since it is smaller than the sum of its proper divisors (2857299080).

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

2132311000 is a wasteful number, since it uses less digits than its factorization.

2132311000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2132332 (or 2132318 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 2132311000 is about 46176.9531259913. The cubic root of 2132311000 is about 1287.1135107879.

Adding to 2132311000 its reverse (1132312), we get a palindrome (2133443312).

It can be divided in two parts, 21323 and 11000, that added together give a palindrome (32323).

The spelling of 2132311000 in words is "two billion, one hundred thirty-two million, three hundred eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 2132311 4264622 8529244 10661555 17058488 21323110 42646220 53307775 85292440 106615550 213231100 266538875 426462200 533077750 1066155500 2132311000