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1381113591 = 31113192353139
BaseRepresentation
bin101001001010010…
…0001111011110111
310120020210211200020
41102110201323313
510312031113331
6345014020223
746140162144
oct12224417367
93506724606
101381113591
1164966a0a0
12326647673
131901981a0
14d15d73cb
15813b3c96
hex52521ef7

1381113591 has 128 divisors (see below), whose sum is σ = 2438553600. Its totient is φ = 682007040.

The previous prime is 1381113589. The next prime is 1381113593. The reversal of 1381113591 is 1953111831.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1381113589) and next prime (1381113593).

It is not a de Polignac number, because 1381113591 - 21 = 1381113589 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1381113593) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9936000 + ... + 9936138.

It is an arithmetic number, because the mean of its divisors is an integer number (19051200).

Almost surely, 21381113591 is an apocalyptic number.

1381113591 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1381113591 is a deficient number, since it is larger than the sum of its proper divisors (1057440009).

1381113591 is a wasteful number, since it uses less digits than its factorization.

1381113591 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261.

The product of its digits is 3240, while the sum is 33.

The square root of 1381113591 is about 37163.3366505216. The cubic root of 1381113591 is about 1113.6356699090.

The spelling of 1381113591 in words is "one billion, three hundred eighty-one million, one hundred thirteen thousand, five hundred ninety-one".

Divisors: 1 3 11 13 19 23 33 39 53 57 69 139 143 159 209 247 253 299 417 429 437 583 627 689 741 759 897 1007 1219 1311 1529 1749 1807 2067 2641 2717 3021 3197 3289 3657 4587 4807 5421 5681 7367 7579 7923 8151 9591 9867 11077 13091 13409 14421 15847 17043 19877 22101 22737 23161 29051 33231 34333 35167 39273 40227 41561 47541 59631 60743 62491 69483 81037 87153 95771 102999 105501 124683 139973 144001 169441 174317 182229 187473 243111 254771 287313 301093 377663 419919 432003 457171 508323 522951 668173 764313 789659 903279 1053481 1132989 1371513 1539703 1819649 1863851 2004519 2202733 2368977 3160443 3219379 3312023 4619109 5458947 5591553 6608199 8686249 9658137 9936069 20016139 24230063 26058747 35413169 41851927 60048417 72690189 106239507 125555781 460371197 1381113591