Search a number
-
+
1121123222200 = 235221139196779
BaseRepresentation
bin10000010100001000001…
…001101100001010111000
310222011211000010122011201
4100110020021230022320
5121332030021102300
62215011545303544
7143666323103512
oct20241011541270
93864730118151
101121123222200
113a2513916523
12161345a94bb4
138194c0a4817
143c396a14bb2
151e26a13d66a
hex1050826c2b8

1121123222200 has 96 divisors (see below), whose sum is σ = 2620019808000. Its totient is φ = 446144227200.

The previous prime is 1121123222173. The next prime is 1121123222203. The reversal of 1121123222200 is 22223211211.

It is a super-2 number, since 2×11211232222002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121123222203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 165378411 + ... + 165385189.

It is an arithmetic number, because the mean of its divisors is an integer number (27291873000).

Almost surely, 21121123222200 is an apocalyptic number.

1121123222200 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 1121123222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1310009904000).

1121123222200 is an abundant number, since it is smaller than the sum of its proper divisors (1498896585800).

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

1121123222200 is a wasteful number, since it uses less digits than its factorization.

1121123222200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10925 (or 10916 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 1121123222200 its reverse (22223211211), we get a palindrome (1143346433411).

The spelling of 1121123222200 in words is "one trillion, one hundred twenty-one billion, one hundred twenty-three million, two hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 211 422 844 1055 1688 2110 3919 4220 5275 6779 7838 8440 10550 13558 15676 19595 21100 27116 31352 33895 39190 42200 54232 67790 78380 97975 135580 156760 169475 195950 271160 338950 391900 677900 783800 826909 1355800 1430369 1653818 2860738 3307636 4134545 5721476 6615272 7151845 8269090 11442952 14303690 16538180 20672725 26566901 28607380 33076360 35759225 41345450 53133802 57214760 71518450 82690900 106267604 132834505 143036900 165381800 212535208 265669010 286073800 531338020 664172525 1062676040 1328345050 2656690100 5313380200 5605616111 11211232222 22422464444 28028080555 44844928888 56056161110 112112322220 140140402775 224224644440 280280805550 560561611100 1121123222200