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1071218900 = 225210712189
BaseRepresentation
bin111111110110011…
…000000011010100
32202122200120002002
4333312120003110
54143213001100
6254143534432
735355132113
oct7766300324
92678616062
101071218900
114aa747684
1225a8ba418
13140c1474b
14a23a9c7a
156409d2d5
hex3fd980d4

1071218900 has 18 divisors (see below), whose sum is σ = 2324545230. Its totient is φ = 428487520.

The previous prime is 1071218873. The next prime is 1071218903. The reversal of 1071218900 is 98121701.

It can be written as a sum of positive squares in 3 ways, for example, as 19254544 + 1051964356 = 4388^2 + 32434^2 .

It is a super-2 number, since 2×10712189002 = 2295019863434420000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1071218903) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5355995 + ... + 5356194.

Almost surely, 21071218900 is an apocalyptic number.

1071218900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1071218900 is an abundant number, since it is smaller than the sum of its proper divisors (1253326330).

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

1071218900 is a wasteful number, since it uses less digits than its factorization.

1071218900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10712203 (or 10712196 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 29.

The square root of 1071218900 is about 32729.4805947177. The cubic root of 1071218900 is about 1023.1973550845.

The spelling of 1071218900 in words is "one billion, seventy-one million, two hundred eighteen thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 10712189 21424378 42848756 53560945 107121890 214243780 267804725 535609450 1071218900