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1110130023200 = 255211175371963
BaseRepresentation
bin10000001001111000111…
…001111101101100100000
310221010102212111021011012
4100021320321331230200
5121142021241220300
62205553043040052
7143130025334612
oct20117071755440
93833385437135
101110130023200
113988925033a0
1215b198370028
13808b96bb943
143ba329d4db2
151dd24e94435
hex10278e7db20

1110130023200 has 144 divisors (see below), whose sum is σ = 2958205725216. Its totient is φ = 403447756800.

The previous prime is 1110130023193. The next prime is 1110130023229. The reversal of 1110130023200 is 23200310111.

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 23 ways as a sum of consecutive naturals, for example, 15390419 + ... + 15462381.

It is an arithmetic number, because the mean of its divisors is an integer number (20543095314).

Almost surely, 21110130023200 is an apocalyptic number.

1110130023200 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 1110130023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1479102862608).

1110130023200 is an abundant number, since it is smaller than the sum of its proper divisors (1848075702016).

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

1110130023200 is a wasteful number, since it uses less digits than its factorization.

1110130023200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73747 (or 73734 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 1110130023200 its reverse (23200310111), we get a palindrome (1133330333311).

The spelling of 1110130023200 in words is "one trillion, one hundred ten billion, one hundred thirty million, twenty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 160 176 200 220 275 352 400 440 550 800 880 1100 1753 1760 2200 3506 4400 7012 8765 8800 14024 17530 19283 28048 35060 38566 43825 56096 70120 71963 77132 87650 96415 140240 143926 154264 175300 192830 280480 287852 308528 350600 359815 385660 482075 575704 617056 701200 719630 771320 791593 964150 1151408 1402400 1439260 1542640 1583186 1799075 1928300 2302816 2878520 3085280 3166372 3598150 3856600 3957965 5757040 6332744 7196300 7713200 7915930 11514080 12665488 14392600 15426400 15831860 19789825 25330976 28785200 31663720 39579650 57570400 63327440 79159300 126151139 126654880 158318600 252302278 316637200 504604556 630755695 633274400 1009209112 1261511390 1387662529 2018418224 2523022780 2775325058 3153778475 4036836448 5046045560 5550650116 6307556950 6938312645 10092091120 11101300232 12615113900 13876625290 20184182240 22202600464 25230227800 27753250580 34691563225 44405200928 50460455600 55506501160 69383126450 100920911200 111013002320 138766252900 222026004640 277532505800 555065011600 1110130023200