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11000222000010 = 23351091792088133
BaseRepresentation
bin1010000000010011000001…
…0100110010001110001010
31102221121111101101110002000
42200010300110302032022
52420211423313000020
635221233205451430
72213511520146555
oct240046024621612
942847441343060
1011000222000010
1135611935a88a1
121297b00110b76
1361a416411bc9
142a05b0c4369c
1514121ae0c090
hexa013053238a

11000222000010 has 128 divisors (see below), whose sum is σ = 29768438304000. Its totient is φ = 2890241968896.

The previous prime is 11000221999993. The next prime is 11000222000051. The reversal of 11000222000010 is 1000022200011.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 11000221999956 and 11000222000001.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4223904 + ... + 6312036.

It is an arithmetic number, because the mean of its divisors is an integer number (232565924250).

Almost surely, 211000222000010 is an apocalyptic number.

11000222000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11000222000010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14884219152000).

11000222000010 is an abundant number, since it is smaller than the sum of its proper divisors (18768216303990).

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

11000222000010 is a wasteful number, since it uses less digits than its factorization.

11000222000010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2088437 (or 2088431 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 11000222000010 its reverse (1000022200011), we get a palindrome (12000244200021).

The spelling of 11000222000010 in words is "eleven trillion, two hundred twenty-two million, ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 109 135 179 218 270 327 358 537 545 654 895 981 1074 1090 1611 1635 1790 1962 2685 2943 3222 3270 4833 4905 5370 5886 8055 9666 9810 14715 16110 19511 24165 29430 39022 48330 58533 97555 117066 175599 195110 292665 351198 526797 585330 877995 1053594 1755990 2088133 2633985 4176266 5267970 6264399 10440665 12528798 18793197 20881330 31321995 37586394 56379591 62643990 93965985 112759182 187931970 227606497 281897955 373775807 455212994 563795910 682819491 747551614 1121327421 1138032485 1365638982 1868879035 2048458473 2242654842 2276064970 3363982263 3414097455 3737758070 4096916946 5606637105 6145375419 6727964526 6828194910 10091946789 10242292365 11213274210 12290750838 16819911315 20183893578 20484584730 30726877095 33639822630 40741562963 50459733945 61453754190 81483125926 100919467890 122224688889 203707814815 244449377778 366674066667 407415629630 611123444445 733348133334 1100022200001 1222246888890 1833370333335 2200044400002 3666740666670 5500111000005 11000222000010