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11331103212 = 223211132169313
BaseRepresentation
bin10101000110110001…
…01110100111101100
31002020200110200110100
422203120232213230
5141201230300322
65112212511100
7550536534222
oct124330564754
932220420410
1011331103212
114895126610
12224291b490
1310b76c5600
14796c5cb12
15464b93dac
hex2a362e9ec

11331103212 has 108 divisors (see below), whose sum is σ = 33835032504. Its totient is φ = 3169520640.

The previous prime is 11331103193. The next prime is 11331103261. The reversal of 11331103212 is 21230113311.

11331103212 is a `hidden beast` number, since 1 + 1 + 331 + 10 + 321 + 2 = 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 35 ways as a sum of consecutive naturals, for example, 17733 + ... + 151580.

It is an arithmetic number, because the mean of its divisors is an integer number (313287338).

Almost surely, 211331103212 is an apocalyptic number.

11331103212 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 11331103212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16917516252).

11331103212 is an abundant number, since it is smaller than the sum of its proper divisors (22503929292).

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

11331103212 is a wasteful number, since it uses less digits than its factorization.

11331103212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169360 (or 169342 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11331103212 its reverse (21230113311), we get a palindrome (32561216523).

The spelling of 11331103212 in words is "eleven billion, three hundred thirty-one million, one hundred three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 117 132 143 156 169 198 234 286 338 396 429 468 507 572 676 858 1014 1287 1521 1716 1859 2028 2574 3042 3718 5148 5577 6084 7436 11154 16731 22308 33462 66924 169313 338626 507939 677252 1015878 1523817 1862443 2031756 2201069 3047634 3724886 4402138 5587329 6095268 6603207 7449772 8804276 11174658 13206414 16761987 19809621 22349316 24211759 26412828 28613897 33523974 39619242 48423518 57227794 67047948 72635277 79238484 85841691 96847036 114455588 145270554 171683382 217905831 257525073 290541108 314752867 343366764 435811662 515050146 629505734 871623324 944258601 1030100292 1259011468 1888517202 2832775803 3777034404 5665551606 11331103212