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1306876031 = 19234763629
BaseRepresentation
bin100110111100101…
…0101100001111111
310101002010011212222
41031321111201333
510134030013111
6333402515555
744246156126
oct11571254177
93332104788
101306876031
1161077433a
12305805bbb
1317a9a4936
14c57d0abd
1579aec7db
hex4de5587f

1306876031 has 16 divisors (see below), whose sum is σ = 1466035200. Its totient is φ = 1159047648.

The previous prime is 1306876027. The next prime is 1306876033. The reversal of 1306876031 is 1306786031.

It is not a de Polignac number, because 1306876031 - 22 = 1306876027 is a prime.

It is a super-2 number, since 2×13068760312 = 3415849920804625922, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1306875982 and 1306876000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1306876033) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 11276 + ... + 52353.

It is an arithmetic number, because the mean of its divisors is an integer number (91627200).

Almost surely, 21306876031 is an apocalyptic number.

1306876031 is a deficient number, since it is larger than the sum of its proper divisors (159159169).

1306876031 is a wasteful number, since it uses less digits than its factorization.

1306876031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63718.

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 1306876031 is about 36150.7403935244. The cubic root of 1306876031 is about 1093.3137187162.

Subtracting from 1306876031 its reverse (1306786031), we obtain a square (90000 = 3002).

The spelling of 1306876031 in words is "one billion, three hundred six million, eight hundred seventy-six thousand, thirty-one".

Divisors: 1 19 23 47 437 893 1081 20539 63629 1208951 1463467 2990563 27805873 56820697 68782949 1306876031