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1300211010 = 232572063827
BaseRepresentation
bin100110101111111…
…1010010101000010
310100121120120012100
41031133322111002
510130323223020
6333004011230
744135416440
oct11537722502
93317516170
101300211010
11607a3185a
12303530b16
131794b0037
14c4977b90
1579232a90
hex4d7fa542

1300211010 has 48 divisors (see below), whose sum is σ = 3863486016. Its totient is φ = 297190944.

The previous prime is 1300211009. The next prime is 1300211053. The reversal of 1300211010 is 101120031.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1300210983 and 1300211001.

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 23 ways as a sum of consecutive naturals, for example, 1031284 + ... + 1032543.

It is an arithmetic number, because the mean of its divisors is an integer number (80489292).

Almost surely, 21300211010 is an apocalyptic number.

1300211010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1300211010 is an abundant number, since it is smaller than the sum of its proper divisors (2563275006).

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

1300211010 is a wasteful number, since it uses less digits than its factorization.

1300211010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2063847 (or 2063844 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 1300211010 is about 36058.4388181186. The cubic root of 1300211010 is about 1091.4519298183.

Adding to 1300211010 its reverse (101120031), we get a palindrome (1401331041).

The spelling of 1300211010 in words is "one billion, three hundred million, two hundred eleven thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 2063827 4127654 6191481 10319135 12382962 14446789 18574443 20638270 28893578 30957405 37148886 43340367 61914810 72233945 86680734 92872215 130021101 144467890 185744430 216701835 260042202 433403670 650105505 1300211010