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11130400314 = 2321156214143
BaseRepresentation
bin10100101110110110…
…00110111000111010
31001201200210220211200
422113123012320322
5140243340302224
65040243035030
7542551561455
oct122733067072
931650726750
1011130400314
1147a1903550
1221a766ba76
131084c533b7
1477833649c
1545224b5c9
hex2976c6e3a

11130400314 has 24 divisors (see below), whose sum is σ = 26308219392. Its totient is φ = 3372848520.

The previous prime is 11130400291. The next prime is 11130400321. The reversal of 11130400314 is 41300403111.

It is a super-2 number, since 2×111304003142 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 11 ways as a sum of consecutive naturals, for example, 28106874 + ... + 28107269.

It is an arithmetic number, because the mean of its divisors is an integer number (1096175808).

Almost surely, 211130400314 is an apocalyptic number.

11130400314 is an abundant number, since it is smaller than the sum of its proper divisors (15177819078).

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

11130400314 is a wasteful number, since it uses less digits than its factorization.

11130400314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56214162 (or 56214159 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11130400314 its reverse (41300403111), we get a palindrome (52430803425).

The spelling of 11130400314 in words is "eleven billion, one hundred thirty million, four hundred thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 56214143 112428286 168642429 337284858 505927287 618355573 1011854574 1236711146 1855066719 3710133438 5565200157 11130400314