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1001212100 = 225272204329
BaseRepresentation
bin111011101011010…
…100100011000100
32120202221211210122
4323223110203010
54022302241400
6243203241112
733545106500
oct7353244304
92522854718
101001212100
11474181519
1223b379198
1312c572ac5
1496d85300
155cd70685
hex3bad48c4

1001212100 has 54 divisors (see below), whose sum is σ = 2527357770. Its totient is φ = 343271040.

The previous prime is 1001212097. The next prime is 1001212111. The reversal of 1001212100 is 12121001.

1001212100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 349839616 + 651372484 = 18704^2 + 25522^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 97265 + ... + 107064.

Almost surely, 21001212100 is an apocalyptic number.

1001212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001212100 is an abundant number, since it is smaller than the sum of its proper divisors (1526145670).

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

1001212100 is a wasteful number, since it uses less digits than its factorization.

1001212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204357 (or 204343 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 1001212100 is about 31641.9357814910. The cubic root of 1001212100 is about 1000.4038702002.

Adding to 1001212100 its reverse (12121001), we get a palindrome (1013333101).

The spelling of 1001212100 in words is "one billion, one million, two hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 2450 4900 204329 408658 817316 1021645 1430303 2043290 2860606 4086580 5108225 5721212 7151515 10012121 10216450 14303030 20024242 20432900 28606060 35757575 40048484 50060605 71515150 100121210 143030300 200242420 250303025 500606050 1001212100