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1130110323320 = 2351131151154833
BaseRepresentation
bin10000011100011111110…
…100110000101001111000
311000001000022221200020202
4100130133310300221320
5122003431220321240
62223055430141332
7144435121152506
oct20343764605170
94001008850222
101130110323320
113a63058a7620
121630337b1848
1382751c89934
143c9aa42d676
151e5e411d315
hex1071fd30a78

1130110323320 has 128 divisors (see below), whose sum is σ = 2865335316480. Its totient is φ = 397422336000.

The previous prime is 1130110323271. The next prime is 1130110323337. The reversal of 1130110323320 is 233230110311.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1130110323292 and 1130110323301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20582624 + ... + 20637456.

It is an arithmetic number, because the mean of its divisors is an integer number (22385432160).

Almost surely, 21130110323320 is an apocalyptic number.

1130110323320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1130110323320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1432667658240).

1130110323320 is an abundant number, since it is smaller than the sum of its proper divisors (1735224993160).

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

1130110323320 is a wasteful number, since it uses less digits than its factorization.

1130110323320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56397 (or 56393 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 1130110323320 its reverse (233230110311), we get a palindrome (1363340433631).

The spelling of 1130110323320 in words is "one trillion, one hundred thirty billion, one hundred ten million, three hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 31 40 44 55 62 88 110 124 155 220 248 310 341 440 620 682 1240 1364 1511 1705 2728 3022 3410 6044 6820 7555 12088 13640 15110 16621 30220 33242 46841 54833 60440 66484 83105 93682 109666 132968 166210 187364 219332 234205 274165 332420 374728 438664 468410 515251 548330 603163 664840 936820 1030502 1096660 1206326 1699823 1873640 2061004 2193320 2412652 2576255 3015815 3399646 4122008 4825304 5152510 6031630 6799292 8499115 10305020 12063260 13598584 16998230 18698053 20610040 24126520 33996460 37396106 67992920 74792212 82852663 93490265 149584424 165705326 186980530 331410652 373961060 414263315 662821304 747922120 828526630 911379293 1657053260 1822758586 2568432553 3314106520 3645517172 4556896465 5136865106 7291034344 9113792930 10273730212 12842162765 18227585860 20547460424 25684325530 28252758083 36455171720 51368651060 56505516166 102737302120 113011032332 141263790415 226022064664 282527580830 565055161660 1130110323320