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11120332212 = 223611231517
BaseRepresentation
bin10100101101101001…
…01100110110110100
31001200222212102000000
422112310230312310
5140233301112322
65035243151300
7542400156423
oct122664546664
931628772000
1011120332212
114797157200
1221a4215530
131082b39842
14776c752ba
1545140d3ac
hex296d2cdb4

11120332212 has 126 divisors (see below), whose sum is σ = 32072180994. Its totient is φ = 3369690720.

The previous prime is 11120332207. The next prime is 11120332229. The reversal of 11120332212 is 21223302111.

11120332212 is a `hidden beast` number, since 1 + 1 + 120 + 332 + 212 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7521052176 + 3599280036 = 86724^2 + 59994^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 337078 + ... + 368594.

It is an arithmetic number, because the mean of its divisors is an integer number (254541119).

Almost surely, 211120332212 is an apocalyptic number.

11120332212 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 11120332212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16036090497).

11120332212 is an abundant number, since it is smaller than the sum of its proper divisors (20951848782).

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

11120332212 is a wasteful number, since it uses less digits than its factorization.

11120332212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31561 (or 31533 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11120332212 its reverse (21223302111), we get a palindrome (32343634323).

The spelling of 11120332212 in words is "eleven billion, one hundred twenty million, three hundred thirty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 121 132 162 198 242 243 297 324 363 396 484 486 594 726 729 891 972 1089 1188 1452 1458 1782 2178 2673 2916 3267 3564 4356 5346 6534 8019 9801 10692 13068 16038 19602 29403 31517 32076 39204 58806 63034 88209 94551 117612 126068 176418 189102 283653 346687 352836 378204 567306 693374 850959 1040061 1134612 1386748 1701918 2080122 2552877 3120183 3403836 3813557 4160244 5105754 6240366 7627114 7658631 9360549 10211508 11440671 12480732 15254228 15317262 18721098 22881342 22975893 28081647 30634524 34322013 37442196 45762684 45951786 56163294 68644026 84244941 91903572 102966039 112326588 137288052 168489882 205932078 252734823 308898117 336979764 411864156 505469646 617796234 926694351 1010939292 1235592468 1853388702 2780083053 3706777404 5560166106 11120332212