Search a number
-
+
1131771708630 = 234517443185533
BaseRepresentation
bin10000011110000010110…
…110011100010011010110
311000012022010010210110000
4100132002312130103112
5122020332024134010
62223532335312130
7144524233536453
oct20360266342326
94005263123400
101131771708630
113a6a88695a32
1216341807b646
1382958236074
143cac6d4282a
151e68ede57c0
hex10782d9c4d6

1131771708630 has 160 divisors (see below), whose sum is σ = 3229511671584. Its totient is φ = 283409777664.

The previous prime is 1131771708629. The next prime is 1131771708649. The reversal of 1131771708630 is 368071771311.

1131771708630 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 7 + 7 + 1 + 7 + 0 + 8 + 630 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6007344 + ... + 6192876.

Almost surely, 21131771708630 is an apocalyptic number.

1131771708630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1131771708630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1614755835792).

1131771708630 is an abundant number, since it is smaller than the sum of its proper divisors (2097739962954).

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

1131771708630 is a wasteful number, since it uses less digits than its factorization.

1131771708630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186012 (or 186003 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 45.

The spelling of 1131771708630 in words is "one trillion, one hundred thirty-one billion, seven hundred seventy-one million, seven hundred eight thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 81 85 90 102 135 153 162 170 255 270 306 405 443 459 510 765 810 886 918 1329 1377 1530 2215 2295 2658 2754 3987 4430 4590 6645 6885 7531 7974 11961 13290 13770 15062 19935 22593 23922 35883 37655 39870 45186 59805 67779 71766 75310 112965 119610 135558 179415 185533 203337 225930 338895 358830 371066 406674 556599 610011 677790 927665 1016685 1113198 1220022 1669797 1855330 2033370 2782995 3050055 3154061 3339594 5009391 5565990 6100110 6308122 8348985 9462183 10018782 15028173 15770305 16697970 18924366 25046955 28386549 30056346 31540610 47310915 50093910 56773098 75140865 82191119 85159647 94621830 141932745 150281730 164382238 170319294 246573357 255478941 283865490 410955595 425798235 493146714 510957882 739720071 821911190 851596470 1232866785 1277394705 1397249023 1479440142 2219160213 2465733570 2554789410 2794498046 3698600355 4191747069 4438320426 6657480639 6986245115 7397200710 8383494138 11095801065 12575241207 13314961278 13972490230 20958735345 22191602130 25150482414 33287403195 37725723621 41917470690 62876206035 66574806390 75451447242 113177170863 125752412070 188628618105 226354341726 377257236210 565885854315 1131771708630