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11130144004 = 2272103155079
BaseRepresentation
bin10100101110110100…
…01000010100000100
31001201200022220020201
422113122020110010
5140243304102004
65040233340244
7542546443300
oct122732102404
931650286221
1011130144004
1147a1748a21
1221a7567684
131084b93835
147782aad00
154521ea6a4
hex297688504

11130144004 has 36 divisors (see below), whose sum is σ = 22680181440. Its totient is φ = 4765348560.

The previous prime is 11130143987. The next prime is 11130144029. The reversal of 11130144004 is 40044103111.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 174537 + ... + 229615.

It is an arithmetic number, because the mean of its divisors is an integer number (630005040).

Almost surely, 211130144004 is an apocalyptic number.

11130144004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11130144004 is an abundant number, since it is smaller than the sum of its proper divisors (11550037436).

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

11130144004 is a wasteful number, since it uses less digits than its factorization.

11130144004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56128 (or 56119 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 11130144004 its reverse (40044103111), we get a palindrome (51174247115).

The spelling of 11130144004 in words is "eleven billion, one hundred thirty million, one hundred forty-four thousand, four".

Divisors: 1 2 4 7 14 28 49 98 196 1031 2062 4124 7217 14434 28868 50519 55079 101038 110158 202076 220316 385553 771106 1542212 2698871 5397742 10795484 56786449 113572898 227145796 397505143 795010286 1590020572 2782536001 5565072002 11130144004