Search a number
-
+
2121102200 = 235272415279
BaseRepresentation
bin111111001101101…
…0111001101111000
312110211020011012202
41332123113031320
513321000232300
6550250325332
7103364033300
oct17633271570
95424204182
102121102200
11999341528
124b2429848
1327a598b79
141619c0600
15c6334ad5
hex7e6d7378

2121102200 has 144 divisors (see below), whose sum is σ = 5877748800. Its totient is φ = 709363200.

The previous prime is 2121102197. The next prime is 2121102227. The reversal of 2121102200 is 22011212.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 399161 + ... + 404439.

It is an arithmetic number, because the mean of its divisors is an integer number (40817700).

Almost surely, 22121102200 is an apocalyptic number.

2121102200 is a gapful number since it is divisible by the number (20) 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 2121102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2938874400).

2121102200 is an abundant number, since it is smaller than the sum of its proper divisors (3756646600).

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

2121102200 is a wasteful number, since it uses less digits than its factorization.

2121102200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5350 (or 5334 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 2121102200 is about 46055.4253047347. The cubic root of 2121102200 is about 1284.8542482317.

Adding to 2121102200 its reverse (22011212), we get a palindrome (2143113412).

The spelling of 2121102200 in words is "two billion, one hundred twenty-one million, one hundred two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 41 49 50 56 70 82 98 100 140 164 175 196 200 205 245 280 287 328 350 392 410 490 574 700 820 980 1025 1148 1225 1400 1435 1640 1960 2009 2050 2296 2450 2870 4018 4100 4900 5279 5740 7175 8036 8200 9800 10045 10558 11480 14350 16072 20090 21116 26395 28700 36953 40180 42232 50225 52790 57400 73906 80360 100450 105580 131975 147812 184765 200900 211160 216439 258671 263950 295624 369530 401800 432878 517342 527900 739060 865756 923825 1034684 1055800 1082195 1293355 1478120 1515073 1731512 1847650 2069368 2164390 2586710 3030146 3695300 4328780 5173420 5410975 6060292 6466775 7390600 7575365 8657560 10346840 10605511 10821950 12120584 12933550 15150730 21211022 21643900 25867100 30301460 37876825 42422044 43287800 51734200 53027555 60602920 75753650 84844088 106055110 151507300 212110220 265137775 303014600 424220440 530275550 1060551100 2121102200