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2120000021200 = 245217535882353
BaseRepresentation
bin11110110110011001110…
…110010010001011010000
321111200002110001112112201
4132312121312102023100
5234213230001134300
64301525313532544
7306110401566205
oct36663166221320
97450073045481
102120000021200
117480a581a926
122a2a53874154
13124bb8758289
1474873bddcac
153a22ce8966a
hex1ed99d922d0

2120000021200 has 120 divisors (see below), whose sum is σ = 5494659812568. Its totient is φ = 783058698240.

The previous prime is 2120000021159. The next prime is 2120000021207. The reversal of 2120000021200 is 21200000212.

It can be written as a sum of positive squares in 12 ways, for example, as 32772585024 + 2087227436176 = 181032^2 + 1444724^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120000021207) 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, 2580777 + ... + 3301576.

Almost surely, 22120000021200 is an apocalyptic number.

2120000021200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120000021200 is an abundant number, since it is smaller than the sum of its proper divisors (3374659791368).

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

2120000021200 is a wasteful number, since it uses less digits than its factorization.

2120000021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5882441 (or 5882430 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 2120000021200 its reverse (21200000212), we get a palindrome (2141200021412).

2120000021200 divided by its reverse (21200000212) gives a square (100 = 102).

The spelling of 2120000021200 in words is "two trillion, one hundred twenty billion, twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 53 68 80 85 100 106 136 170 200 212 265 272 340 400 424 425 530 680 848 850 901 1060 1325 1360 1700 1802 2120 2650 3400 3604 4240 4505 5300 6800 7208 9010 10600 14416 18020 21200 22525 36040 45050 72080 90100 180200 360400 5882353 11764706 23529412 29411765 47058824 58823530 94117648 100000001 117647060 147058825 200000002 235294120 294117650 311764709 400000004 470588240 500000005 588235300 623529418 800000008 1000000010 1176470600 1247058836 1558823545 1600000016 2000000020 2352941200 2494117672 2500000025 3117647090 4000000040 4988235344 5000000050 5300000053 6235294180 7794117725 8000000080 10000000100 10600000106 12470588360 15588235450 20000000200 21200000212 24941176720 26500000265 31176470900 40000000400 42400000424 53000000530 62352941800 84800000848 106000001060 124705883600 132500001325 212000002120 265000002650 424000004240 530000005300 1060000010600 2120000021200