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1300122100 = 225273317737
BaseRepresentation
bin100110101111110…
…0100100111110100
310100121102001020101
41031133210213310
510130312401400
6333002043444
744134566304
oct11537444764
93317361211
101300122100
11607980a82
123034a9584
1317947b724
14c4953604
157921656a
hex4d7e49f4

1300122100 has 36 divisors (see below), whose sum is σ = 2825273164. Its totient is φ = 519310080.

The previous prime is 1300122049. The next prime is 1300122119. The reversal of 1300122100 is 12210031.

It can be written as a sum of positive squares in 6 ways, for example, as 186431716 + 1113690384 = 13654^2 + 33372^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

1300122100 is a modest number, since divided by 122100 gives 1300 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64432 + ... + 82168.

Almost surely, 21300122100 is an apocalyptic number.

1300122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1300122100 is an abundant number, since it is smaller than the sum of its proper divisors (1525151064).

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

1300122100 is a wasteful number, since it uses less digits than its factorization.

1300122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18484 (or 18477 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 1300122100 is about 36057.2059372326. The cubic root of 1300122100 is about 1091.4270509840.

Adding to 1300122100 its reverse (12210031), we get a palindrome (1312332131).

The spelling of 1300122100 in words is "one billion, three hundred million, one hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 733 1466 2932 3665 7330 14660 17737 18325 35474 36650 70948 73300 88685 177370 354740 443425 886850 1773700 13001221 26002442 52004884 65006105 130012210 260024420 325030525 650061050 1300122100