Search a number
-
+
1022131350540 = 2232541532613211
BaseRepresentation
bin11101101111110111100…
…01101010110000001100
310121201022002110112000200
432313323301222300030
5113221311111204130
62101321034053500
7133563240061626
oct16677361526014
93551262415020
101022131350540
11364535556143
1214611987a290
13755043b9c31
1437685819c16
151b8c468d760
hexedfbc6ac0c

1022131350540 has 144 divisors (see below), whose sum is σ = 3236013589536. Its totient is φ = 260902886400.

The previous prime is 1022131350517. The next prime is 1022131350547. The reversal of 1022131350540 is 450531312201.

1022131350540 is a `hidden beast` number, since 1 + 0 + 22 + 131 + 3 + 505 + 4 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (1022131350547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 915466 + ... + 1697745.

It is an arithmetic number, because the mean of its divisors is an integer number (22472316594).

Almost surely, 21022131350540 is an apocalyptic number.

1022131350540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022131350540 is an abundant number, since it is smaller than the sum of its proper divisors (2213882238996).

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

1022131350540 is a wasteful number, since it uses less digits than its factorization.

1022131350540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2613320 (or 2613315 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 1022131350540 its reverse (450531312201), we get a palindrome (1472662662741).

The spelling of 1022131350540 in words is "one trillion, twenty-two billion, one hundred thirty-one million, three hundred fifty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 53 60 82 90 106 123 159 164 180 205 212 246 265 318 369 410 477 492 530 615 636 738 795 820 954 1060 1230 1476 1590 1845 1908 2173 2385 2460 3180 3690 4346 4770 6519 7380 8692 9540 10865 13038 19557 21730 26076 32595 39114 43460 65190 78228 97785 130380 195570 391140 2613211 5226422 7839633 10452844 13066055 15679266 23518899 26132110 31358532 39198165 47037798 52264220 78396330 94075596 107141651 117594495 138500183 156792660 214283302 235188990 277000366 321424953 415500549 428566604 470377980 535708255 554000732 642849906 692500915 831001098 964274859 1071416510 1246501647 1285699812 1385001830 1607124765 1662002196 1928549718 2077502745 2142833020 2493003294 2770003660 3214249530 3857099436 4155005490 4821374295 4986006588 5678507503 6232508235 6428499060 8310010980 9642748590 11357015006 12465016470 17035522509 19285497180 22714030012 24930032940 28392537515 34071045018 51106567527 56785075030 68142090036 85177612545 102213135054 113570150060 170355225090 204426270108 255532837635 340710450180 511065675270 1022131350540