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11011222000212 = 2237898353176329
BaseRepresentation
bin1010000000111011111111…
…1110011101001001010100
31102222122212222211100120220
42200032333332131021110
52420401440313001322
635230252513554340
72214351226463160
oct240167776351124
942878788740526
1011011222000212
113565918836855
12129a06bb759b0
1361b47a339675
142a0d35b13ca0
1514166199b55c
hexa03bff9d254

11011222000212 has 96 divisors (see below), whose sum is σ = 29696906131200. Its totient is φ = 3110324355072.

The previous prime is 11011222000159. The next prime is 11011222000271. The reversal of 11011222000212 is 21200022211011.

It is a junction number, because it is equal to n+sod(n) for n = 11011222000191 and 11011222000200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62358864 + ... + 62535192.

It is an arithmetic number, because the mean of its divisors is an integer number (309342772200).

Almost surely, 211011222000212 is an apocalyptic number.

11011222000212 is a gapful number since it is divisible by the number (12) 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 11011222000212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14848453065600).

11011222000212 is an abundant number, since it is smaller than the sum of its proper divisors (18685684130988).

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

11011222000212 is a wasteful number, since it uses less digits than its factorization.

11011222000212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184785 (or 184783 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 11011222000212 its reverse (21200022211011), we get a palindrome (32211244211223).

The spelling of 11011222000212 in words is "eleven trillion, eleven billion, two hundred twenty-two million, two hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 89 178 267 356 534 623 1068 1246 1869 2492 3738 7476 8353 16706 25059 33412 50118 58471 100236 116942 175413 176329 233884 350826 352658 528987 701652 705316 743417 1057974 1234303 1486834 2115948 2230251 2468606 2973668 3702909 4460502 4937212 5203919 7405818 8921004 10407838 14811636 15611757 15693281 20815676 31223514 31386562 47079843 62447028 62773124 94159686 109852967 188319372 219705934 329558901 439411868 659117802 1318235604 1472876137 2945752274 4418628411 5891504548 8837256822 10310132959 17674513644 20620265918 30930398877 41240531836 61860797754 123721595508 131085976193 262171952386 393257928579 524343904772 786515857158 917601833351 1573031714316 1835203666702 2752805500053 3670407333404 5505611000106 11011222000212