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1303137801 = 36721912
BaseRepresentation
bin100110110101100…
…0100111000001001
310100211002021000000
41031223010320021
510132100402201
6333150433213
744202326400
oct11553047011
93324067000
101303137801
11609650799
12304502809
13179c96274
14c50da637
157960ed86
hex4dac4e09

1303137801 has 63 divisors (see below), whose sum is σ = 2284764573. Its totient is φ = 740751480.

The previous prime is 1303137799. The next prime is 1303137821. The reversal of 1303137801 is 1087313031.

The square root of 1303137801 is 36099.

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

It is a tau number, because it is divible by the number of its divisors (63).

It is not a de Polignac number, because 1303137801 - 21 = 1303137799 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1303137821) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 6822616 + ... + 6822806.

Almost surely, 21303137801 is an apocalyptic number.

1303137801 is the 36099-th square number.

1303137801 is the 18050-th centered octagonal number.

It is an amenable number.

1303137801 is a deficient number, since it is larger than the sum of its proper divisors (981626772).

1303137801 is an frugal number, since it uses more digits than its factorization.

1303137801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The cubic root of 1303137801 is about 1092.2702733377.

The spelling of 1303137801 in words is "one billion, three hundred three million, one hundred thirty-seven thousand, eight hundred one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 191 243 441 567 573 729 1323 1337 1701 1719 3969 4011 5103 5157 9359 11907 12033 15471 28077 35721 36099 36481 46413 84231 108297 109443 139239 252693 255367 324891 328329 758079 766101 974673 984987 1787569 2274237 2298303 2954961 5362707 6822711 6894909 8864883 16088121 20684727 26594649 48264363 62054181 144793089 186162543 434379267 1303137801