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1301010100 = 2252131000777
BaseRepresentation
bin100110110001011…
…1101011010110100
310100200002011100021
41031202331122310
510131024310400
6333033054524
744145255235
oct11542753264
93320064307
101301010100
11608428165
12303857444
131796cc980
14c4b0508c
157933e71a
hex4d8bd6b4

1301010100 has 36 divisors (see below), whose sum is σ = 3040363564. Its totient is φ = 480372480.

The previous prime is 1301010097. The next prime is 1301010131. The reversal of 1301010100 is 10101031.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 25948836 + 1275061264 = 5094^2 + 35708^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 499089 + ... + 501688.

Almost surely, 21301010100 is an apocalyptic number.

1301010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1301010100 is an abundant number, since it is smaller than the sum of its proper divisors (1739353464).

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

1301010100 is a wasteful number, since it uses less digits than its factorization.

1301010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000804 (or 1000797 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 7.

The square root of 1301010100 is about 36069.5176014318. The cubic root of 1301010100 is about 1091.6754806377.

Adding to 1301010100 its reverse (10101031), we get a palindrome (1311111131).

The spelling of 1301010100 in words is "one billion, three hundred one million, ten thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 1000777 2001554 4003108 5003885 10007770 13010101 20015540 25019425 26020202 50038850 52040404 65050505 100077700 130101010 260202020 325252525 650505050 1301010100