Search a number
-
+
1315107981 = 3611217877
BaseRepresentation
bin100111001100010…
…1111010010001101
310101122121102000000
41032120233102031
510143131423411
6334255154513
744406143025
oct11630572215
93348542000
101315107981
11615387100
12308515a39
1317c5c7805
14c6934a85
157a6c6956
hex4e62f48d

1315107981 has 84 divisors (see below), whose sum is σ = 2297411676. Its totient is φ = 749295360.

The previous prime is 1315107977. The next prime is 1315108019. The reversal of 1315107981 is 1897015131.

1315107981 is a `hidden beast` number, since 131 + 510 + 7 + 9 + 8 + 1 = 666.

1315107981 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1067328900 + 247779081 = 32670^2 + 15741^2 .

It is not a de Polignac number, because 1315107981 - 22 = 1315107977 is a prime.

It is a super-2 number, since 2×13151079812 = 3459018003379792722, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1315107901) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1499115 + ... + 1499991.

It is an arithmetic number, because the mean of its divisors is an integer number (27350139).

Almost surely, 21315107981 is an apocalyptic number.

1315107981 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1315107981 is a deficient number, since it is larger than the sum of its proper divisors (982303695).

1315107981 is an equidigital number, since it uses as much as digits as its factorization.

1315107981 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 36.

The square root of 1315107981 is about 36264.4175604683. The cubic root of 1315107981 is about 1095.6044926511.

The spelling of 1315107981 in words is "one billion, three hundred fifteen million, one hundred seven thousand, nine hundred eighty-one".

Divisors: 1 3 9 11 17 27 33 51 81 99 121 153 187 243 297 363 459 561 729 877 891 1089 1377 1683 2057 2631 2673 3267 4131 5049 6171 7893 8019 9647 9801 12393 14909 15147 18513 23679 28941 29403 44727 45441 55539 71037 86823 88209 106117 134181 136323 163999 166617 213111 260469 318351 402543 491997 499851 639333 781407 955053 1207629 1475991 1499553 1803989 2344221 2865159 3622887 4427973 5411967 7032663 8595477 10868661 13283919 16235901 25786431 39851757 48707703 77359293 119555271 146123109 438369327 1315107981