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2132131100 = 2252111938301
BaseRepresentation
bin111111100010101…
…1011110100011100
312111120222111000112
41333011123310130
513331311143400
6551322545152
7103556546441
oct17705336434
95446874015
102132131100
119a4594720
124b60681b8
1327c95ab48
141632519c8
15c72b2835
hex7f15bd1c

2132131100 has 36 divisors (see below), whose sum is σ = 5047338408. Its totient is φ = 775320000.

The previous prime is 2132131093. The next prime is 2132131103. The reversal of 2132131100 is 11312312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2132131103) 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 11 ways as a sum of consecutive naturals, for example, 968051 + ... + 970250.

Almost surely, 22132131100 is an apocalyptic number.

2132131100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2132131100 is an abundant number, since it is smaller than the sum of its proper divisors (2915207308).

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

2132131100 is a wasteful number, since it uses less digits than its factorization.

2132131100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1938326 (or 1938319 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 2132131100 is about 46175.0051434756. The cubic root of 2132131100 is about 1287.0773124671.

Adding to 2132131100 its reverse (11312312), we get a palindrome (2143443412).

The spelling of 2132131100 in words is "two billion, one hundred thirty-two million, one hundred thirty-one thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 1938301 3876602 7753204 9691505 19383010 21321311 38766020 42642622 48457525 85285244 96915050 106606555 193830100 213213110 426426220 533032775 1066065550 2132131100