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22021221211000 = 2353115693518329
BaseRepresentation
bin1010000000111001101110…
…00100010101101101111000
32212222012121202202120102121
411000130313010111231320
510341243430112223000
6114500224231211024
74431660250603534
oct500346704255570
985865552676377
1022021221211000
117020169310830
122577a3a516a74
13c3979123289b
14561b93284bc4
15282c50e09b1a
hex140737115b78

22021221211000 has 128 divisors (see below), whose sum is σ = 56312982648000. Its totient is φ = 7993641216000.

The previous prime is 22021221210997. The next prime is 22021221211009. The reversal of 22021221211000 is 11212212022.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22021221211009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4499836 + ... + 8018164.

Almost surely, 222021221211000 is an apocalyptic number.

22021221211000 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 22021221211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28156491324000).

22021221211000 is an abundant number, since it is smaller than the sum of its proper divisors (34291761437000).

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

22021221211000 is a wasteful number, since it uses less digits than its factorization.

22021221211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3518930 (or 3518916 counting only the distinct ones).

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

Adding to 22021221211000 its reverse (11212212022), we get a palindrome (22032433423022).

The spelling of 22021221211000 in words is "twenty-two trillion, twenty-one billion, two hundred twenty-one million, two hundred eleven thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 569 1000 1100 1138 1375 2200 2276 2750 2845 4552 5500 5690 6259 11000 11380 12518 14225 22760 25036 28450 31295 50072 56900 62590 71125 113800 125180 142250 156475 250360 284500 312950 569000 625900 782375 1251800 1564750 3129500 3518329 6259000 7036658 14073316 17591645 28146632 35183290 38701619 70366580 77403238 87958225 140733160 154806476 175916450 193508095 309612952 351832900 387016190 439791125 703665800 774032380 879582250 967540475 1548064760 1759164500 1935080950 2001929201 3518329000 3870161900 4003858402 4837702375 7740323800 8007716804 9675404750 10009646005 16015433608 19350809500 20019292010 22021221211 38701619000 40038584020 44042442422 50048230025 80077168040 88084884844 100096460050 110106106055 176169769688 200192920100 220212212110 250241150125 400385840200 440424424220 500482300250 550530530275 880848848440 1000964600500 1101061060550 2001929201000 2202122121100 2752652651375 4404244242200 5505305302750 11010610605500 22021221211000