Search a number
-
+
1120000210200 = 2332524219147481
BaseRepresentation
bin10000010011000101001…
…101101111010100011000
310222001220201222201022200
4100103011031233110120
5121322230023211300
62214304311250200
7143626435465164
oct20230515572430
93861821881280
101120000210200
113a1a97a13a33
12161091979960
1381800527791
143c2cb805ca4
151e20175e200
hex104c536f518

1120000210200 has 144 divisors (see below), whose sum is σ = 3762251071800. Its totient is φ = 298593907200.

The previous prime is 1120000210193. The next prime is 1120000210201. The reversal of 1120000210200 is 20120000211.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1120000210201) 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, 7520460 + ... + 7667940.

Almost surely, 21120000210200 is an apocalyptic number.

1120000210200 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 1120000210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1881125535900).

1120000210200 is an abundant number, since it is smaller than the sum of its proper divisors (2642250861600).

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

1120000210200 is a wasteful number, since it uses less digits than its factorization.

1120000210200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151722 (or 151710 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1120000210200 its reverse (20120000211), we get a palindrome (1140120210411).

The spelling of 1120000210200 in words is "one trillion, one hundred twenty billion, two hundred ten 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 90 100 120 150 180 200 225 300 360 450 600 900 1800 4219 8438 12657 16876 21095 25314 33752 37971 42190 50628 63285 75942 84380 101256 105475 126570 147481 151884 168760 189855 210950 253140 294962 303768 316425 379710 421900 442443 506280 589924 632850 737405 759420 843800 884886 949275 1179848 1265700 1327329 1474810 1518840 1769772 1898550 2212215 2531400 2654658 2949620 3539544 3687025 3797100 4424430 5309316 5899240 6636645 7374050 7594200 8848860 10618632 11061075 13273290 14748100 17697720 22122150 26546580 29496200 33183225 44244300 53093160 66366450 88488600 132732900 265465800 622222339 1244444678 1866667017 2488889356 3111111695 3733334034 4977778712 5600001051 6222223390 7466668068 9333335085 11200002102 12444446780 14933336136 15555558475 18666670170 22400004204 24888893560 28000005255 31111116950 37333340340 44800008408 46666675425 56000010510 62222233900 74666680680 93333350850 112000021020 124444467800 140000026275 186666701700 224000042040 280000052550 373333403400 560000105100 1120000210200