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11012012212212 = 2235113492951089
BaseRepresentation
bin1010000000111110111100…
…0100110111111111110100
31102222201221001202021200000
42200033233010313333310
52420410100111242322
635230503142551300
72214406633252224
oct240175704677764
942881831667600
1011012012212212
1135661938a1820
12129a250738530
1361b574c7332b
142a0daca52084
151416ab03d3ac
hexa03ef137ff4

11012012212212 has 144 divisors (see below), whose sum is σ = 31581384744000. Its totient is φ = 3327410741760.

The previous prime is 11012012212193. The next prime is 11012012212219. The reversal of 11012012212212 is 21221221021011.

11012012212212 is a `hidden beast` number, since 110 + 120 + 1 + 221 + 2 + 212 = 666.

It is a super-2 number, since 2×110120122122122 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11012012212219) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2255964 + ... + 5207052.

Almost surely, 211012012212212 is an apocalyptic number.

11012012212212 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 11012012212212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15790692372000).

11012012212212 is an abundant number, since it is smaller than the sum of its proper divisors (20569372531788).

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

11012012212212 is a wasteful number, since it uses less digits than its factorization.

11012012212212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2951468 (or 2951454 counting only the distinct ones).

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

Adding to 11012012212212 its reverse (21221221021011), we get a palindrome (32233233233223).

The spelling of 11012012212212 in words is "eleven trillion, twelve billion, twelve million, two hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 243 297 324 349 396 486 594 698 891 972 1047 1188 1396 1782 2094 2673 3141 3564 3839 4188 5346 6282 7678 9423 10692 11517 12564 15356 18846 23034 28269 34551 37692 46068 56538 69102 84807 103653 113076 138204 169614 207306 310959 339228 414612 621918 932877 1243836 1865754 2951089 3731508 5902178 8853267 11804356 17706534 26559801 32461979 35413068 53119602 64923958 79679403 97385937 106239204 129847916 159358806 194771874 239038209 292157811 318717612 389543748 478076418 584315622 717114627 876473433 956152836 1029930061 1168631244 1434229254 1752946866 2059860122 2629420299 2868458508 3089790183 3505893732 4119720244 5258840598 6179580366 7888260897 9269370549 10517681196 11329230671 12359160732 15776521794 18538741098 22658461342 27808111647 31553043588 33987692013 37077482196 45316922684 55616223294 67975384026 83424334941 101963076039 111232446588 135950768052 166848669882 203926152078 250273004823 305889228117 333697339764 407852304156 500546009646 611778456234 917667684351 1001092019292 1223556912468 1835335368702 2753003053053 3670670737404 5506006106106 11012012212212