Search a number
-
+
135338931 = 3472134361
BaseRepresentation
bin10000001000100…
…01101110110011
3100102122221010000
420010101232303
5234121321211
621232441043
73232235100
oct1004215663
9312587100
10135338931
116a439162
12393a9183
1322067910
1413d8daa7
15bd35656
hex8111bb3

135338931 has 120 divisors (see below), whose sum is σ = 263410224. Its totient is φ = 68584320.

The previous prime is 135338899. The next prime is 135338941. The reversal of 135338931 is 139833531.

It is a happy number.

135338931 is a `hidden beast` number, since 13 + 533 + 89 + 31 = 666.

It is not a de Polignac number, because 135338931 - 25 = 135338899 is a prime.

It is a super-2 number, since 2×1353389312 = 36633252488445522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135338941) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2218641 + ... + 2218701.

Almost surely, 2135338931 is an apocalyptic number.

135338931 is a deficient number, since it is larger than the sum of its proper divisors (128071293).

135338931 is a wasteful number, since it uses less digits than its factorization.

135338931 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 127 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

The square root of 135338931 is about 11633.5261636359. The cubic root of 135338931 is about 513.4217317921.

The spelling of 135338931 in words is "one hundred thirty-five million, three hundred thirty-eight thousand, nine hundred thirty-one".

Divisors: 1 3 7 9 13 21 27 39 43 49 61 63 81 91 117 129 147 183 189 273 301 351 387 427 441 549 559 567 637 793 819 903 1053 1161 1281 1323 1647 1677 1911 2107 2379 2457 2623 2709 2989 3483 3843 3913 3969 4941 5031 5551 5733 6321 7137 7371 7869 8127 8967 11529 11739 15093 16653 17199 18361 18963 21411 23607 24381 26901 27391 34099 34587 35217 38857 45279 49959 51597 55083 56889 64233 70821 80703 82173 102297 105651 116571 128527 149877 165249 170667 212463 238693 242109 246519 306891 316953 349713 385581 449631 495747 716079 739557 920673 1049139 1156743 1487241 1670851 2148237 2218671 2762019 3147417 3470229 5012553 6444711 10410687 15037659 19334133 45112977 135338931