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1130111322030 = 234517479317123
BaseRepresentation
bin10000011100011111111…
…000100100011110101110
311000001000101211102020000
4100130133320210132232
5122003431444301110
62223055503405130
7144435132512265
oct20343770443656
94001011742200
101130111322030
113a63064199a9
12163033bb37a6
13827522493a2
143c9aa60d5dc
151e5e42691c0
hex1071fe247ae

1130111322030 has 160 divisors (see below), whose sum is σ = 3218352645024. Its totient is φ = 283560044544.

The previous prime is 1130111322029. The next prime is 1130111322061. The reversal of 1130111322030 is 302231110311.

1130111322030 is a `hidden beast` number, since 1 + 1 + 301 + 11 + 322 + 0 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1130111321994 and 1130111322012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 65991049 + ... + 66008171.

Almost surely, 21130111322030 is an apocalyptic number.

1130111322030 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 1130111322030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1609176322512).

1130111322030 is an abundant number, since it is smaller than the sum of its proper divisors (2088241322994).

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

1130111322030 is a wasteful number, since it uses less digits than its factorization.

1130111322030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21952 (or 21943 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1130111322030 its reverse (302231110311), we get a palindrome (1432342432341).

The spelling of 1130111322030 in words is "one trillion, one hundred thirty billion, one hundred eleven million, three hundred twenty-two thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 81 85 90 102 135 153 162 170 255 270 306 405 459 510 765 810 918 1377 1530 2295 2754 4590 4793 6885 9586 13770 14379 17123 23965 28758 34246 43137 47930 51369 71895 81481 85615 86274 102738 129411 143790 154107 162962 171230 215685 244443 256845 258822 291091 308214 388233 407405 431370 462321 488886 513690 582182 647055 733329 770535 776466 814810 873273 924642 1222215 1294110 1386963 1455455 1466658 1541070 1746546 1941165 2199987 2311605 2444430 2619819 2773926 2910910 3666645 3882330 4366365 4399974 4623210 5239638 6599961 6934815 7333290 7859457 8732730 10999935 13099095 13199922 13869630 15718914 21999870 23578371 26198190 32999805 39297285 47156742 65999610 78594570 82070539 117891855 164141078 235783710 246211617 410352695 492423234 738634851 820705390 1231058085 1395199163 1477269702 2215904553 2462116170 2790398326 3693174255 4185597489 4431809106 6647713659 6975995815 7386348510 8371194978 11079522765 12556792467 13295427318 13951991630 20927987445 22159045530 25113584934 33238568295 37670377401 41855974890 62783962335 66477136590 75340754802 113011132203 125567924670 188351887005 226022264406 376703774010 565055661015 1130111322030