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11130414100 = 2252138561857
BaseRepresentation
bin10100101110110110…
…01010010000010100
31001201200211121202021
422113123022100110
5140243341222400
65040243222524
7542551646611
oct122733122024
931650747667
1011130414100
1147a1912943
1221a7677a44
131084c59760
1477833b508
1545225071a
hex2976ca414

11130414100 has 36 divisors (see below), whose sum is σ = 26010924604. Its totient is φ = 4109690880.

The previous prime is 11130414091. The next prime is 11130414151. The reversal of 11130414100 is 141403111.

It can be written as a sum of positive squares in 6 ways, for example, as 4404445956 + 6725968144 = 66366^2 + 82012^2 .

It is a super-2 number, since 2×111304141002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4279629 + ... + 4282228.

Almost surely, 211130414100 is an apocalyptic number.

11130414100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11130414100 is an abundant number, since it is smaller than the sum of its proper divisors (14880510504).

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

11130414100 is a wasteful number, since it uses less digits than its factorization.

11130414100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8561884 (or 8561877 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 11130414100 its reverse (141403111), we get a palindrome (11271817211).

The spelling of 11130414100 in words is "eleven billion, one hundred thirty million, four hundred fourteen thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 8561857 17123714 34247428 42809285 85618570 111304141 171237140 214046425 222608282 428092850 445216564 556520705 856185700 1113041410 2226082820 2782603525 5565207050 11130414100