Search a number
-
+
1381320135 = 385134179
BaseRepresentation
bin101001001010101…
…0100010111000111
310120021012100000000
41102111110113013
510312104221020
6345022252343
746142012256
oct12225242707
93507170000
101381320135
116497a0298
123267270b3
1319023b1c0
14d164c79d
1581405090
hex525545c7

1381320135 has 144 divisors (see below), whose sum is σ = 2777523840. Its totient is φ = 655050240.

The previous prime is 1381320133. The next prime is 1381320163. The reversal of 1381320135 is 5310231831.

It is not a de Polignac number, because 1381320135 - 21 = 1381320133 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1381320099 and 1381320108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1381320133) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17485026 + ... + 17485104.

It is an arithmetic number, because the mean of its divisors is an integer number (19288360).

Almost surely, 21381320135 is an apocalyptic number.

1381320135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1381320135 is an abundant number, since it is smaller than the sum of its proper divisors (1396203705).

1381320135 is an frugal number, since it uses more digits than its factorization.

1381320135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1381320135 is about 37166.1154144471. The cubic root of 1381320135 is about 1113.6911814668.

Adding to 1381320135 its reverse (5310231831), we get a palindrome (6691551966).

The spelling of 1381320135 in words is "one billion, three hundred eighty-one million, three hundred twenty thousand, one hundred thirty-five".

Divisors: 1 3 5 9 13 15 27 39 41 45 65 79 81 117 123 135 195 205 237 243 351 369 395 405 533 585 615 711 729 1027 1053 1107 1185 1215 1599 1755 1845 2133 2187 2665 3081 3159 3239 3321 3555 3645 4797 5135 5265 5535 6399 6561 7995 9243 9477 9717 9963 10665 10935 14391 15405 15795 16195 16605 19197 23985 27729 28431 29151 29889 31995 32805 42107 43173 46215 47385 48585 49815 57591 71955 83187 85293 87453 89667 95985 126321 129519 138645 142155 145755 149445 172773 210535 215865 249561 262359 269001 287955 378963 388557 415935 426465 437265 448335 518319 631605 647595 748683 787077 863865 1136889 1165671 1247805 1311795 1345005 1894815 1942785 2246049 2361231 2591595 3410667 3497013 3743415 3935385 5684445 5828355 6738147 7083693 10232001 11230245 11806155 17053335 17485065 21251079 30696003 33690735 35418465 51160005 92088009 106255395 153480015 276264027 460440045 1381320135