Search a number
-
+
1101201100200 = 2332523791614191
BaseRepresentation
bin10000000001100100101…
…100110100110110101000
310220021101121010222110100
4100001210230310312220
5121020224440201300
62201515041145400
7142362534624255
oct20014454646650
93807347128410
101101201100200
11395020349393
1215950602b260
137cac5896456
143b426c0242c
151d9a1157700
hex10064b34da8

1101201100200 has 144 divisors (see below), whose sum is σ = 3707960443200. Its totient is φ = 292878633600.

The previous prime is 1101201100163. The next prime is 1101201100201. The reversal of 1101201100200 is 20011021011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1101201100201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 124896 + ... + 1489295.

It is an arithmetic number, because the mean of its divisors is an integer number (25749725300).

Almost surely, 21101201100200 is an apocalyptic number.

1101201100200 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 1101201100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1853980221600).

1101201100200 is an abundant number, since it is smaller than the sum of its proper divisors (2606759343000).

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

1101201100200 is a wasteful number, since it uses less digits than its factorization.

1101201100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1614592 (or 1614580 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1101201100200 its reverse (20011021011), we get a palindrome (1121212121211).

The spelling of 1101201100200 in words is "one trillion, one hundred one billion, two hundred one million, one hundred thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 379 450 600 758 900 1137 1516 1800 1895 2274 3032 3411 3790 4548 5685 6822 7580 9096 9475 11370 13644 15160 17055 18950 22740 27288 28425 34110 37900 45480 56850 68220 75800 85275 113700 136440 170550 227400 341100 682200 1614191 3228382 4842573 6456764 8070955 9685146 12913528 14527719 16141910 19370292 24212865 29055438 32283820 38740584 40354775 48425730 58110876 64567640 72638595 80709550 96851460 116221752 121064325 145277190 161419100 193702920 242128650 290554380 322838200 363192975 484257300 581108760 611778389 726385950 968514600 1223556778 1452771900 1835335167 2447113556 2905543800 3058891945 3670670334 4894227112 5506005501 6117783890 7341340668 9176675835 11012011002 12235567780 14682681336 15294459725 18353351670 22024022004 24471135560 27530027505 30588919450 36706703340 44048044008 45883379175 55060055010 61177838900 73413406680 91766758350 110120110020 122355677800 137650137525 183533516700 220240220040 275300275050 367067033400 550600550100 1101201100200