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1349800100 = 2252114328537
BaseRepresentation
bin101000001110100…
…0101000010100100
310111001212221122022
41100131011002210
510231022100400
6341534522312
745310053155
oct12035050244
93431787568
101349800100
11632a21880
12318066398
131868533ac
14cb3a592c
157d77ab85
hex507450a4

1349800100 has 72 divisors (see below), whose sum is σ = 3269769888. Its totient is φ = 479404800.

The previous prime is 1349800093. The next prime is 1349800129. The reversal of 1349800100 is 10089431.

It is a self number, because there is not a number n which added to its sum of digits gives 1349800100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33032 + ... + 61568.

Almost surely, 21349800100 is an apocalyptic number.

1349800100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1349800100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1634884944).

1349800100 is an abundant number, since it is smaller than the sum of its proper divisors (1919969788).

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

1349800100 is a wasteful number, since it uses less digits than its factorization.

1349800100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28605 (or 28598 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 1349800100 is about 36739.6257465968. The cubic root of 1349800100 is about 1105.1548959441.

Adding to 1349800100 its reverse (10089431), we get a palindrome (1359889531).

The spelling of 1349800100 in words is "one billion, three hundred forty-nine million, eight hundred thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 43 44 50 55 86 100 110 172 215 220 275 430 473 550 860 946 1075 1100 1892 2150 2365 4300 4730 9460 11825 23650 28537 47300 57074 114148 142685 285370 313907 570740 627814 713425 1227091 1255628 1426850 1569535 2454182 2853700 3139070 4908364 6135455 6278140 7847675 12270910 13498001 15695350 24541820 26996002 30677275 31390700 53992004 61354550 67490005 122709100 134980010 269960020 337450025 674900050 1349800100