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11222011210212 = 223211372423316097
BaseRepresentation
bin1010001101001101001111…
…1111011110100111100100
31110201210222020220200210200
42203103103333132213210
52432330134332211322
635511153142150500
72235522620266005
oct243232377364744
943653866820720
1011222011210212
113637256853130
121312a98a22430
136353009bb86a
142ab210ab51ac
15146d9c2238ac
hexa34d3fde9e4

11222011210212 has 144 divisors (see below), whose sum is σ = 31795129521792. Its totient is φ = 3307325091840.

The previous prime is 11222011210121. The next prime is 11222011210253. The reversal of 11222011210212 is 21201211022211.

11222011210212 is a `hidden beast` number, since 1 + 12 + 220 + 11 + 210 + 212 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35343748 + ... + 35659844.

It is an arithmetic number, because the mean of its divisors is an integer number (220799510568).

Almost surely, 211222011210212 is an apocalyptic number.

11222011210212 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 11222011210212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15897564760896).

11222011210212 is an abundant number, since it is smaller than the sum of its proper divisors (20573118311580).

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

11222011210212 is a wasteful number, since it uses less digits than its factorization.

11222011210212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318578 (or 318573 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 11222011210212 its reverse (21201211022211), we get a palindrome (32423222232423).

The spelling of 11222011210212 in words is "eleven trillion, two hundred twenty-two billion, eleven million, two hundred ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 37 44 66 74 99 111 132 148 198 222 333 396 407 444 666 814 1221 1332 1628 2423 2442 3663 4846 4884 7269 7326 9692 14538 14652 21807 26653 29076 43614 53306 79959 87228 89651 106612 159918 179302 239877 268953 316097 319836 358604 479754 537906 632194 806859 948291 959508 986161 1075812 1264388 1613718 1896582 1972322 2844873 2958483 3227436 3477067 3793164 3944644 5689746 5916966 6954134 8875449 10431201 11379492 11695589 11833932 13908268 17750898 20862402 23391178 31293603 35086767 35501796 41724804 46782356 62587206 70173534 105260301 125174412 128651479 140347068 210520602 257302958 385954437 421041204 514605916 765903031 771908874 1157863311 1531806062 1543817748 2297709093 2315726622 3063612124 4595418186 4631453244 6893127279 8424933341 9190836372 13786254558 16849866682 25274800023 27572509116 28338412147 33699733364 50549600046 56676824294 75824400069 85015236441 101099200092 113353648588 151648800138 170030472882 255045709323 303297600276 311722533617 340060945764 510091418646 623445067234 935167600851 1020182837292 1246890134468 1870335201702 2805502802553 3740670403404 5611005605106 11222011210212