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11130121212 = 22371514671879
BaseRepresentation
bin10100101110110100…
…00010101111111100
31001201200021201222120
422113122002233330
5140243302334322
65040233042540
7542546316660
oct122732025774
931650251876
1011130121212
1147a1732891
1221a7556450
131084b86352
147782a28a0
154521e3a5c
hex297682bfc

11130121212 has 96 divisors (see below), whose sum is σ = 29956792320. Its totient is φ = 3150532800.

The previous prime is 11130121133. The next prime is 11130121229. The reversal of 11130121212 is 21212103111.

It is a junction number, because it is equal to n+sod(n) for n = 11130121191 and 11130121200.

It is a congruent number.

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, 5922489 + ... + 5924367.

It is an arithmetic number, because the mean of its divisors is an integer number (312049920).

Almost surely, 211130121212 is an apocalyptic number.

11130121212 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 11130121212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14978396160).

11130121212 is an abundant number, since it is smaller than the sum of its proper divisors (18826671108).

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

11130121212 is a wasteful number, since it uses less digits than its factorization.

11130121212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2511 (or 2509 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 11130121212 its reverse (21212103111), we get a palindrome (32342224323).

The spelling of 11130121212 in words is "eleven billion, one hundred thirty million, one hundred twenty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 151 302 453 467 604 906 934 1057 1401 1812 1868 1879 2114 2802 3171 3269 3758 4228 5604 5637 6342 6538 7516 9807 11274 12684 13076 13153 19614 22548 26306 39228 39459 52612 70517 78918 141034 157836 211551 282068 283729 423102 493619 567458 846204 851187 877493 987238 1134916 1480857 1702374 1754986 1974476 1986103 2632479 2961714 3404748 3509972 3972206 5264958 5923428 5958309 6142451 7944412 10529916 11916618 12284902 18427353 23833236 24569804 36854706 73709412 132501443 265002886 397504329 530005772 795008658 927510101 1590017316 1855020202 2782530303 3710040404 5565060606 11130121212