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1130000231200 = 255218123333493
BaseRepresentation
bin10000011100011001010…
…000110010101100100000
311000000201122210102020211
4100130121100302230200
5122003220024344300
62223040454343504
7144432313325311
oct20343120625440
94000648712224
101130000231200
113a62597427a5
1216300295ab94
1382735221679
143c999972608
151e5d96234ba
hex10719432b20

1130000231200 has 144 divisors (see below), whose sum is σ = 2785842147816. Its totient is φ = 447560294400.

The previous prime is 1130000231141. The next prime is 1130000231219. The reversal of 1130000231200 is 21320000311.

It can be written as a sum of positive squares in 12 ways, for example, as 20019986064 + 1109980245136 = 141492^2 + 1053556^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33721654 + ... + 33755146.

Almost surely, 21130000231200 is an apocalyptic number.

1130000231200 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 1130000231200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1392921073908).

1130000231200 is an abundant number, since it is smaller than the sum of its proper divisors (1655841916616).

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

1130000231200 is a wasteful number, since it uses less digits than its factorization.

1130000231200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33927 (or 33914 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 1130000231200 its reverse (21320000311), we get a palindrome (1151320231511).

The spelling of 1130000231200 in words is "one trillion, one hundred thirty billion, two hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 181 200 233 362 400 466 724 800 905 932 1165 1448 1810 1864 2330 2896 3620 3728 4525 4660 5792 5825 7240 7456 9050 9320 11650 14480 18100 18640 23300 28960 33493 36200 37280 42173 46600 66986 72400 84346 93200 133972 144800 167465 168692 186400 210865 267944 334930 337384 421730 535888 669860 674768 837325 843460 1054325 1071776 1339720 1349536 1674650 1686920 2108650 2679440 3349300 3373840 4217300 5358880 6062233 6698600 6747680 7803869 8434600 12124466 13397200 15607738 16869200 24248932 26794400 30311165 31215476 33738400 39019345 48497864 60622330 62430952 78038690 96995728 121244660 124861904 151555825 156077380 193991456 195096725 242489320 249723808 303111650 312154760 390193450 484978640 606223300 624309520 780386900 969957280 1212446600 1248619040 1412500289 1560773800 2424893200 2825000578 3121547600 4849786400 5650001156 6243095200 7062501445 11300002312 14125002890 22600004624 28250005780 35312507225 45200009248 56500011560 70625014450 113000023120 141250028900 226000046240 282500057800 565000115600 1130000231200