Search a number
-
+
1310532431340 = 22351121710618477
BaseRepresentation
bin10011000100100001110…
…100011110110111101100
311122021201020222101211210
4103010201310132313230
5132432432300300330
62442014510114420
7163453133603316
oct23044164366754
94567636871753
101310532431340
11465880434800
12191ba67aba10
13967761b3532
14476043067b6
15241539058b0
hex13121d1edec

1310532431340 has 144 divisors (see below), whose sum is σ = 4270666903776. Its totient is φ = 299016284160.

The previous prime is 1310532431333. The next prime is 1310532431407. The reversal of 1310532431340 is 431342350131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1310532431298 and 1310532431307.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5185819 + ... + 5432658.

It is an arithmetic number, because the mean of its divisors is an integer number (29657409054).

Almost surely, 21310532431340 is an apocalyptic number.

1310532431340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1310532431340 is an abundant number, since it is smaller than the sum of its proper divisors (2960134472436).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1310532431340 is a wasteful number, since it uses less digits than its factorization.

1310532431340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10618528 (or 10618515 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 1310532431340 its reverse (431342350131), we get a palindrome (1741874781471).

The spelling of 1310532431340 in words is "one trillion, three hundred ten billion, five hundred thirty-two million, four hundred thirty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 17 20 22 30 33 34 44 51 55 60 66 68 85 102 110 121 132 165 170 187 204 220 242 255 330 340 363 374 484 510 561 605 660 726 748 935 1020 1122 1210 1452 1815 1870 2057 2244 2420 2805 3630 3740 4114 5610 6171 7260 8228 10285 11220 12342 20570 24684 30855 41140 61710 123420 10618477 21236954 31855431 42473908 53092385 63710862 106184770 116803247 127421724 159277155 180514109 212369540 233606494 318554310 350409741 361028218 467212988 541542327 584016235 637108620 700819482 722056436 902570545 1083084654 1168032470 1284835717 1401638964 1752048705 1805141090 1985655199 2166169308 2336064940 2569671434 2707711635 3504097410 3610282180 3854507151 3971310398 5139342868 5415423270 5956965597 6424178585 7008194820 7709014302 7942620796 9928275995 10830846540 11913931194 12848357170 15418028604 19272535755 19856551990 21842207189 23827862388 25696714340 29784827985 38545071510 39713103980 43684414378 59569655970 65526621567 77090143020 87368828756 109211035945 119139311940 131053243134 218422071890 262106486268 327633107835 436844143780 655266215670 1310532431340