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2124051400 = 235217624721
BaseRepresentation
bin111111010011010…
…0111001111001000
312111000202222202101
41332212213033020
513322224121100
6550433443144
7103431065452
oct17646471710
95430688671
102124051400
1199aa76289
124b34104b4
1327b08c363
1416214b2d2
15c671886a
hex7e9a73c8

2124051400 has 48 divisors (see below), whose sum is σ = 5228923140. Its totient is φ = 799641600.

The previous prime is 2124051367. The next prime is 2124051421. The reversal of 2124051400 is 41504212.

It can be written as a sum of positive squares in 6 ways, for example, as 1184874084 + 939177316 = 34422^2 + 30646^2 .

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, 308961 + ... + 315760.

Almost surely, 22124051400 is an apocalyptic number.

2124051400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2124051400 is an abundant number, since it is smaller than the sum of its proper divisors (3104871740).

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

2124051400 is a wasteful number, since it uses less digits than its factorization.

2124051400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624754 (or 624745 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 2124051400 is about 46087.4321263400. The cubic root of 2124051400 is about 1285.4494635058.

Adding to 2124051400 its reverse (41504212), we get a palindrome (2165555612).

The spelling of 2124051400 in words is "two billion, one hundred twenty-four million, fifty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 850 1700 3400 624721 1249442 2498884 3123605 4997768 6247210 10620257 12494420 15618025 21240514 24988840 31236050 42481028 53101285 62472100 84962056 106202570 124944200 212405140 265506425 424810280 531012850 1062025700 2124051400