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1304552308900 = 22521142172
BaseRepresentation
bin10010111110111101011…
…000001000000010100100
311121201021111022201001111
4102332331120020002210
5132333210342341100
62435145243234404
7163152010444111
oct22767530100244
94551244281044
101304552308900
11463291850255
121909b7b18a04
1396032287249
14471d7dcd908
1523e038e76ba
hex12fbd6080a4

1304552308900 has 27 divisors (see below), whose sum is σ = 2830903295619. Its totient is φ = 521816354880.

The previous prime is 1304552308889. The next prime is 1304552308901. The reversal of 1304552308900 is 98032554031.

The square root of 1304552308900 is 1142170.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 547916765796 + 756635543104 = 740214^2 + 869848^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1304552308901) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11364592 + ... + 11478808.

Almost surely, 21304552308900 is an apocalyptic number.

1304552308900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1304552308900 is the 1142170-th square number.

It is an amenable number.

1304552308900 is an abundant number, since it is smaller than the sum of its proper divisors (1526350986719).

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

1304552308900 is an frugal number, since it uses more digits than its factorization.

1304552308900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228448 (or 114224 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 40.

The spelling of 1304552308900 in words is "one trillion, three hundred four billion, five hundred fifty-two million, three hundred eight thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 114217 228434 456868 571085 1142170 2284340 2855425 5710850 11421700 13045523089 26091046178 52182092356 65227615445 130455230890 260910461780 326138077225 652276154450 1304552308900