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2131324100 = 225221313241
BaseRepresentation
bin111111100001001…
…0110110011000100
312111112110111000122
41333002112303010
513331104332400
6551253401112
7103546645613
oct17702266304
95445414018
102131324100
119a4093384
124b5939198
1327c737729
141630c187a
15c71a3685
hex7f096cc4

2131324100 has 18 divisors (see below), whose sum is σ = 4624973514. Its totient is φ = 852529600.

The previous prime is 2131324099. The next prime is 2131324127. The reversal of 2131324100 is 14231312.

It can be written as a sum of positive squares in 3 ways, for example, as 18267076 + 2113057024 = 4274^2 + 45968^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10656521 + ... + 10656720.

It is an arithmetic number, because the mean of its divisors is an integer number (256942973).

Almost surely, 22131324100 is an apocalyptic number.

2131324100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2131324100 is an abundant number, since it is smaller than the sum of its proper divisors (2493649414).

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

2131324100 is a wasteful number, since it uses less digits than its factorization.

2131324100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21313255 (or 21313248 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 2131324100 is about 46166.2658225679. The cubic root of 2131324100 is about 1286.9149080598.

Adding to 2131324100 its reverse (14231312), we get a palindrome (2145555412).

The spelling of 2131324100 in words is "two billion, one hundred thirty-one million, three hundred twenty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 21313241 42626482 85252964 106566205 213132410 426264820 532831025 1065662050 2131324100