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1300311111 = 31171554977
BaseRepresentation
bin100110110000001…
…0010110001000111
310100121202122111210
41031200102301013
510130334423421
6333010102503
744136314331
oct11540226107
93317678453
101300311111
11607a9aa90
1230357aa33
13179516778
14c49a2451
1579252576
hex4d812c47

1300311111 has 16 divisors (see below), whose sum is σ = 1918003968. Its totient is φ = 776966400.

The previous prime is 1300311107. The next prime is 1300311119. The reversal of 1300311111 is 1111130031.

It is not a de Polignac number, because 1300311111 - 22 = 1300311107 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1300311119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 275146 + ... + 279831.

It is an arithmetic number, because the mean of its divisors is an integer number (119875248).

Almost surely, 21300311111 is an apocalyptic number.

1300311111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1300311111 is a deficient number, since it is larger than the sum of its proper divisors (617692857).

1300311111 is a wasteful number, since it uses less digits than its factorization.

1300311111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555062.

The product of its (nonzero) digits is 9, while the sum is 12.

The square root of 1300311111 is about 36059.8268298671. The cubic root of 1300311111 is about 1091.4799387659.

Adding to 1300311111 its reverse (1111130031), we get a palindrome (2411441142).

It can be divided in two parts, 130031 and 1111, that multiplied together give a palindrome (144464441).

The spelling of 1300311111 in words is "one billion, three hundred million, three hundred eleven thousand, one hundred eleven".

Divisors: 1 3 11 33 71 213 781 2343 554977 1664931 6104747 18314241 39403367 118210101 433437037 1300311111