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22010002021200 = 2435231591666721
BaseRepresentation
bin1010000000100100110100…
…10110100001101101010000
32212221010122212212200022110
411000102122112201231100
510341102441004134300
6114451131053105320
74431112240220424
oct500223226415520
985833585780273
1022010002021200
117016431383446
122575829188240
13c386c3a9253b
1456140b238b84
152827e5ec0550
hex14049a5a1b50

22010002021200 has 120 divisors (see below), whose sum is σ = 72779740139776. Its totient is φ = 5680000512000.

The previous prime is 22010002021193. The next prime is 22010002021207. The reversal of 22010002021200 is 212020001022.

It is an interprime number because it is at equal distance from previous prime (22010002021193) and next prime (22010002021207).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22010002021207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 295796161 + ... + 295870560.

Almost surely, 222010002021200 is an apocalyptic number.

22010002021200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22010002021200 is an abundant number, since it is smaller than the sum of its proper divisors (50769738118576).

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

22010002021200 is a wasteful number, since it uses less digits than its factorization.

22010002021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591666773 (or 591666762 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 22010002021200 its reverse (212020001022), we get a palindrome (22222022022222).

The spelling of 22010002021200 in words is "twenty-two trillion, ten billion, two million, twenty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 31 40 48 50 60 62 75 80 93 100 120 124 150 155 186 200 240 248 300 310 372 400 465 496 600 620 744 775 930 1200 1240 1488 1550 1860 2325 2480 3100 3720 4650 6200 7440 9300 12400 18600 37200 591666721 1183333442 1775000163 2366666884 2958333605 3550000326 4733333768 5916667210 7100000652 8875000815 9466667536 11833334420 14200001304 14791668025 17750001630 18341668351 23666668840 28400002608 29583336050 35500003260 36683336702 44375004075 47333337680 55025005053 59166672100 71000006520 73366673404 88750008150 91708341755 110050010106 118333344200 142000013040 146733346808 177500016300 183416683510 220100020212 236666688400 275125025265 293466693616 355000032600 366833367020 440200040424 458541708775 550250050530 710000065200 733666734040 880400080848 917083417550 1100500101060 1375625126325 1467333468080 1834166835100 2201000202120 2751250252650 3668333670200 4402000404240 5502500505300 7336667340400 11005001010600 22010002021200