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11103031212 = 22371314968239
BaseRepresentation
bin10100101011100101…
…01100111110101100
31001122210022102111020
422111302230332230
5140214333444322
65033424254140
7542100131250
oct122562547654
931583272436
1011103031212
11478840a759
12219a471350
13107c38ca70
14774850260
1544eb4205c
hex295cacfac

11103031212 has 96 divisors (see below), whose sum is σ = 32100096000. Its totient is φ = 2908576512.

The previous prime is 11103031193. The next prime is 11103031213. The reversal of 11103031212 is 21213030111.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11103031191 and 11103031200.

It is not an unprimeable number, because it can be changed into a prime (11103031213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128589 + ... + 196827.

It is an arithmetic number, because the mean of its divisors is an integer number (334376000).

Almost surely, 211103031212 is an apocalyptic number.

11103031212 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 11103031212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16050048000).

11103031212 is an abundant number, since it is smaller than the sum of its proper divisors (20997064788).

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

11103031212 is a wasteful number, since it uses less digits than its factorization.

11103031212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68415 (or 68413 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 11103031212 its reverse (21213030111), we get a palindrome (32316061323).

The spelling of 11103031212 in words is "eleven billion, one hundred three million, thirty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 149 156 182 273 298 364 447 546 596 894 1043 1092 1788 1937 2086 3129 3874 4172 5811 6258 7748 11622 12516 13559 23244 27118 40677 54236 68239 81354 136478 162708 204717 272956 409434 477673 818868 887107 955346 1433019 1774214 1910692 2661321 2866038 3548428 5322642 5732076 6209749 10167611 10645284 12419498 18629247 20335222 24838996 30502833 37258494 40670444 61005666 71173277 74516988 122011332 132178943 142346554 213519831 264357886 284693108 396536829 427039662 528715772 793073658 854079324 925252601 1586147316 1850505202 2775757803 3701010404 5551515606 11103031212