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22021211012200 = 23525310120569037
BaseRepresentation
bin1010000000111001101100…
…11101011011110001101000
32212222012121001120102022021
411000130312131123301220
510341243420004342300
6114500223224434224
74431660065115451
oct500346635336150
985865531512267
1022021211012200
117020163585274
122577a37018974
13c3978c0a16aa
14561b91b8c128
15282c50092d1a
hex14073675bc68

22021211012200 has 96 divisors (see below), whose sum is σ = 52681831506360. Its totient is φ = 8556718976000.

The previous prime is 22021211012179. The next prime is 22021211012221. The reversal of 22021211012200 is 221011212022.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22021211012179) and next prime (22021211012221).

It can be written as a sum of positive squares in 12 ways, for example, as 16124288436036 + 5896922576164 = 4015506^2 + 2428358^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9213919 + ... + 11355118.

Almost surely, 222021211012200 is an apocalyptic number.

22021211012200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22021211012200 is an abundant number, since it is smaller than the sum of its proper divisors (30660620494160).

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

22021211012200 is a wasteful number, since it uses less digits than its factorization.

22021211012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20569207 (or 20569198 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 22021211012200 its reverse (221011212022), we get a palindrome (22242222224222).

The spelling of 22021211012200 in words is "twenty-two trillion, twenty-one billion, two hundred eleven million, twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 100 101 106 200 202 212 265 404 424 505 530 808 1010 1060 1325 2020 2120 2525 2650 4040 5050 5300 5353 10100 10600 10706 20200 21412 26765 42824 53530 107060 133825 214120 267650 535300 1070600 20569037 41138074 82276148 102845185 164552296 205690370 411380740 514225925 822761480 1028451850 1090158961 2056903700 2077472737 2180317922 4113807400 4154945474 4360635844 5450794805 8309890948 8721271688 10387363685 10901589610 16619781896 20774727370 21803179220 27253974025 41549454740 43606358440 51936818425 54507948050 83098909480 103873636850 109015896100 110106055061 207747273700 218031792200 220212110122 415494547400 440424220244 550530275305 880848440488 1101060550610 2202121101220 2752651376525 4404242202440 5505302753050 11010605506100 22021211012200