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2140528100 = 225297220673
BaseRepresentation
bin111111110010101…
…1101110111100100
312112011210002112112
41333211131313210
513340433344400
6552222540152
7104021121464
oct17745356744
95464702475
102140528100
119a92aa497
124b8a37658
1328160ab99
141643d9ba4
15c7dc0835
hex7f95dde4

2140528100 has 36 divisors (see below), whose sum is σ = 4692853284. Its totient is φ = 847380480.

The previous prime is 2140528099. The next prime is 2140528129. The reversal of 2140528100 is 18250412.

It can be written as a sum of positive squares in 6 ways, for example, as 312794596 + 1827733504 = 17686^2 + 42752^2 .

It is a super-2 number, since 2×21405281002 = 9163721093779220000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100637 + ... + 120036.

Almost surely, 22140528100 is an apocalyptic number.

2140528100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2140528100 is an abundant number, since it is smaller than the sum of its proper divisors (2552325184).

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

2140528100 is a wasteful number, since it uses less digits than its factorization.

2140528100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220784 (or 220777 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 2140528100 is about 46265.8416112795. The cubic root of 2140528100 is about 1288.7647370451.

Adding to 2140528100 its reverse (18250412), we get a palindrome (2158778512).

The spelling of 2140528100 in words is "two billion, one hundred forty million, five hundred twenty-eight thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 97 100 194 388 485 970 1940 2425 4850 9700 220673 441346 882692 1103365 2206730 4413460 5516825 11033650 21405281 22067300 42810562 85621124 107026405 214052810 428105620 535132025 1070264050 2140528100