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10011212222000 = 245311876151941
BaseRepresentation
bin1001000110101110101010…
…1111111000111000110000
31022110001200121000010220212
42101223222233320320300
52303010430312101000
633143030513523252
72052200112560213
oct221535257707060
938401617003825
1010011212222000
11320a8053423a0
1211582a6873528
13578090029202
1426878c28377a
15125634452c35
hex91aeabf8e30

10011212222000 has 160 divisors (see below), whose sum is σ = 26411280337728. Its totient is φ = 3639955200000.

The previous prime is 10011212221987. The next prime is 10011212222003. The reversal of 10011212222000 is 22221211001.

It is not an unprimeable number, because it can be changed into a prime (10011212222003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 192716030 + ... + 192767970.

Almost surely, 210011212222000 is an apocalyptic number.

10011212222000 is a gapful number since it is divisible by the number (10) 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 10011212222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13205640168864).

10011212222000 is an abundant number, since it is smaller than the sum of its proper divisors (16400068115728).

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

10011212222000 is a wasteful number, since it uses less digits than its factorization.

10011212222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60736 (or 60720 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10011212222000 its reverse (22221211001), we get a palindrome (10033433433001).

The spelling of 10011212222000 in words is "ten trillion, eleven billion, two hundred twelve million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4400 5500 8761 11000 17522 22000 35044 43805 51941 70088 87610 96371 103882 140176 175220 192742 207764 219025 259705 350440 385484 415528 438050 481855 519410 571351 700880 770968 831056 876100 963710 1038820 1095125 1142702 1298525 1541936 1752200 1927420 2077640 2190250 2285404 2409275 2597050 2856755 3504400 3854840 4155280 4380500 4570808 4818550 5194100 5713510 6492625 7709680 8761000 9141616 9637100 10388200 11427020 12046375 12985250 14283775 17522000 19274200 20776400 22854040 24092750 25970500 28567550 38548400 45708080 48185500 51941000 57135100 71418875 96371000 103882000 114270200 142837750 192742000 228540400 285675500 455055101 571351000 910110202 1142702000 1820220404 2275275505 3640440808 4550551010 5005606111 7280881616 9101102020 10011212222 11376377525 18202204040 20022424444 22752755050 25028030555 36404408080 40044848888 45505510100 50056061110 56881887625 80089697776 91011020200 100112122220 113763775250 125140152775 182022040400 200224244440 227527550500 250280305550 400448488880 455055101000 500560611100 625700763875 910110202000 1001121222200 1251401527750 2002242444400 2502803055500 5005606111000 10011212222000