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11131111212 = 22313181479823
BaseRepresentation
bin10100101110111011…
…10100011100101100
31001201202011001000020
422113131310130230
5140244031024322
65040310202140
7542560612164
oct122735643454
931652131006
1011131111212
1147a2249671
1221a7953350
131085141b50
1477847d5a4
1545233c05c
hex29777472c

11131111212 has 96 divisors (see below), whose sum is σ = 28217978880. Its totient is φ = 3394794240.

The previous prime is 11131111207. The next prime is 11131111249. The reversal of 11131111212 is 21211113111.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 11131111191 and 11131111200.

It is an unprimeable number.

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, 13524633 + ... + 13525455.

It is an arithmetic number, because the mean of its divisors is an integer number (293937280).

Almost surely, 211131111212 is an apocalyptic number.

11131111212 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 11131111212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14108989440).

11131111212 is an abundant number, since it is smaller than the sum of its proper divisors (17086867668).

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

11131111212 is a wasteful number, since it uses less digits than its factorization.

11131111212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1503 (or 1501 counting only the distinct ones).

The product of its digits is 12, while the sum is 15.

Adding to 11131111212 its reverse (21211113111), we get a palindrome (32342224323).

The spelling of 11131111212 in words is "eleven billion, one hundred thirty-one million, one hundred eleven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 181 362 479 543 724 823 958 1086 1437 1646 1916 2172 2353 2469 2874 3292 4706 4938 5748 6227 7059 9412 9876 10699 12454 14118 18681 21398 24908 28236 32097 37362 42796 64194 74724 86699 128388 148963 173398 260097 297926 346796 394217 446889 520194 595852 788434 893778 1040388 1127087 1182651 1576868 1787556 1936519 2254174 2365302 3381261 3873038 4508348 4730604 5124821 5809557 6762522 7746076 10249642 11619114 13525044 15374463 20499284 23238228 30748926 61497852 71353277 142706554 214059831 285413108 428119662 856239324 927592601 1855185202 2782777803 3710370404 5565555606 11131111212