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1311531138841 = 7211210721392
BaseRepresentation
bin10011000101011101010…
…110001111111100011001
311122101021212012222222111
4103011131112033330121
5132442003432420331
62442301543552321
7163516651512100
oct23053526177431
94571255188874
101311531138841
11466243155500
1219222515b6a1
13968a508a311
144769abd9037
15241b142ddb1
hex1315d58ff19

1311531138841 has 81 divisors (see below), whose sum is σ = 1705048600437. Its totient is φ = 1005137567280.

The previous prime is 1311531138817. The next prime is 1311531138913. The reversal of 1311531138841 is 1488311351131.

The square root of 1311531138841 is 1145221.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 1311531138841 - 27 = 1311531138713 is a prime.

It is a super-2 number, since 2×13115311388412 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1311531138794 and 1311531138803.

It is not an unprimeable number, because it can be changed into a prime (1311531136841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 9435475750 + ... + 9435475888.

Almost surely, 21311531138841 is an apocalyptic number.

1311531138841 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1311531138841 is the 1145221-st square number.

1311531138841 is the 572611-st centered octagonal number.

It is an amenable number.

1311531138841 is a deficient number, since it is larger than the sum of its proper divisors (393517461596).

1311531138841 is an equidigital number, since it uses as much as digits as its factorization.

1311531138841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 264 counting only the distinct ones).

The product of its digits is 34560, while the sum is 40.

Adding to 1311531138841 its reverse (1488311351131), we get a palindrome (2799842489972).

The spelling of 1311531138841 in words is "one trillion, three hundred eleven billion, five hundred thirty-one million, one hundred thirty-eight thousand, eight hundred forty-one".

Divisors: 1 7 11 49 77 107 121 139 539 749 847 973 1177 1529 5243 5929 6811 8239 10703 11449 12947 14873 16819 19321 57673 74921 80143 90629 104111 117733 125939 135247 163603 212531 561001 634403 728777 824131 881573 946729 1145221 1385329 1487717 1591411 1799633 2067347 2337841 6171011 8016547 9697303 10414019 11139877 12597431 14471429 16364887 17505521 22740817 67881121 77979139 88182017 101300003 114554209 122538647 159185719 192560731 221206129 250148987 857770529 1114300033 1347925117 1548442903 1751042909 2433267419 9435475819 10839100321 12257300363 17032871933 26765941609 119230103531 187361591263 1311531138841