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2212011010000 = 24541120109191
BaseRepresentation
bin100000001100000110001…
…000010110011111010000
321211110120211222001200201
4200030012020112133100
5242220144304310000
64412103412424544
7315545460232651
oct40140610263720
97743524861621
102212011010000
11783121603630
122b8852018154
131307900a154c
14790c1c17528
153c815b4996a
hex203062167d0

2212011010000 has 100 divisors (see below), whose sum is σ = 5842363770144. Its totient is φ = 804367600000.

The previous prime is 2212011009941. The next prime is 2212011010003. The reversal of 2212011010000 is 101102122.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×22120110100002 (a number of 25 digits) contains 22 as substring.

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 (2212011010003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9944596 + ... + 10164595.

Almost surely, 22212011010000 is an apocalyptic number.

2212011010000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2212011010000 is an abundant number, since it is smaller than the sum of its proper divisors (3630352760144).

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

2212011010000 is a wasteful number, since it uses less digits than its factorization.

2212011010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20109230 (or 20109209 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 2212011010000 its reverse (101102122), we get a palindrome (2212112112122).

The spelling of 2212011010000 in words is "two trillion, two hundred twelve billion, eleven million, ten thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 625 880 1000 1100 1250 1375 2000 2200 2500 2750 4400 5000 5500 6875 10000 11000 13750 22000 27500 55000 110000 20109191 40218382 80436764 100545955 160873528 201091910 221201101 321747056 402183820 442402202 502729775 804367640 884804404 1005459550 1106005505 1608735280 1769608808 2010919100 2212011010 2513648875 3539217616 4021838200 4424022020 5027297750 5530027525 8043676400 8848044040 10054595500 11060055050 12568244375 17696088080 20109191000 22120110100 25136488750 27650137625 40218382000 44240220200 50272977500 55300275250 88480440400 100545955000 110600550500 138250688125 201091910000 221201101000 276501376250 442402202000 553002752500 1106005505000 2212011010000