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11110222221012 = 223219236427109883
BaseRepresentation
bin1010000110101100110011…
…0110010100111011010100
31110100010102111012122121100
42201223030312110323110
52424012213342033022
635343544324150100
72224454443460415
oct241531466247324
943303374178540
1011110222221012
1135a3900889a52
1212b529ab38330
136278c6988585
142a5a4808380c
1514400804a1ac
hexa1accd94ed4

11110222221012 has 144 divisors (see below), whose sum is σ = 30852684495360. Its totient is φ = 3355395430464.

The previous prime is 11110222221011. The next prime is 11110222221017. The reversal of 11110222221012 is 21012222201111.

11110222221012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×111102222210123 (a number of 40 digits) contains 333 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 (11110222221011) 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, 101054623 + ... + 101164505.

It is an arithmetic number, because the mean of its divisors is an integer number (214254753440).

Almost surely, 211110222221012 is an apocalyptic number.

11110222221012 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 11110222221012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15426342247680).

11110222221012 is an abundant number, since it is smaller than the sum of its proper divisors (19742462274348).

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

11110222221012 is a wasteful number, since it uses less digits than its factorization.

11110222221012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116362 (or 116357 counting only the distinct ones).

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

Adding to 11110222221012 its reverse (21012222201111), we get a palindrome (32122444422123).

The spelling of 11110222221012 in words is "eleven trillion, one hundred ten billion, two hundred twenty-two million, two hundred twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 19 23 36 38 46 57 69 76 92 114 138 171 207 228 276 342 414 437 684 828 874 1311 1748 2622 3933 5244 6427 7866 12854 15732 19281 25708 38562 57843 77124 109883 115686 122113 147821 219766 231372 244226 295642 329649 366339 439532 443463 488452 591284 659298 732678 886926 988947 1099017 1318596 1330389 1465356 1773852 1977894 2087777 2198034 2527309 2660778 2808599 3955788 4175554 4396068 5054618 5321556 5617198 6263331 7581927 8351108 8425797 10109236 11234396 12526662 15163854 16851594 18789993 22745781 25053324 25277391 30327708 33703188 37579986 45491562 48018871 50554782 75159972 90983124 96037742 101109564 144056613 192075484 288113226 432169839 576226452 706218041 864339678 1412436082 1728679356 2118654123 2824872164 4237308246 6355962369 8474616492 12711924738 13418142779 16243014943 25423849476 26836285558 32486029886 40254428337 48729044829 53672571116 64972059772 80508856674 97458089658 120763285011 146187134487 161017713348 194916179316 241526570022 292374268974 308617283917 483053140044 584748537948 617234567834 925851851751 1234469135668 1851703703502 2777555555253 3703407407004 5555111110506 11110222221012