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1301800820 = 225145344797
BaseRepresentation
bin100110110010111…
…1110011101110100
310100201120100000012
41031211332131310
510131230111240
6333102035352
744155060445
oct11545763564
93321510005
101301800820
11608918251
12303b78b58
13179918858
14c4c6d2cc
1579448b65
hex4d97e774

1301800820 has 24 divisors (see below), whose sum is σ = 2735724264. Its totient is φ = 520350336.

The previous prime is 1301800781. The next prime is 1301800837. The reversal of 1301800820 is 280081031.

It can be written as a sum of positive squares in 4 ways, for example, as 333719824 + 968080996 = 18268^2 + 31114^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6662 + ... + 51458.

It is an arithmetic number, because the mean of its divisors is an integer number (113988511).

Almost surely, 21301800820 is an apocalyptic number.

1301800820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1301800820 is an abundant number, since it is smaller than the sum of its proper divisors (1433923444).

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

1301800820 is a wasteful number, since it uses less digits than its factorization.

1301800820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46259 (or 46257 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 1301800820 is about 36080.4769924124. The cubic root of 1301800820 is about 1091.8965998066.

Adding to 1301800820 its reverse (280081031), we get a palindrome (1581881851).

The spelling of 1301800820 in words is "one billion, three hundred one million, eight hundred thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 1453 2906 5812 7265 14530 29060 44797 89594 179188 223985 447970 895940 65090041 130180082 260360164 325450205 650900410 1301800820