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11240400300 = 22352103363767
BaseRepresentation
bin10100111011111101…
…01110010110101100
31002000100210111110020
422131332232112230
5141010020302200
65055212442140
7545355553233
oct123576562654
932010714406
1011240400300
114848a05128
122218479350
1310a198874c
14788babb1a
1545bc28ea0
hex29dfae5ac

11240400300 has 72 divisors (see below), whose sum is σ = 32838064896. Its totient is φ = 2968330560.

The previous prime is 11240400263. The next prime is 11240400317. The reversal of 11240400300 is 300404211.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11240400300.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 150984 + ... + 212783.

Almost surely, 211240400300 is an apocalyptic number.

11240400300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11240400300 is an abundant number, since it is smaller than the sum of its proper divisors (21597664596).

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

11240400300 is a wasteful number, since it uses less digits than its factorization.

11240400300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363887 (or 363880 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 11240400300 its reverse (300404211), we get a palindrome (11540804511).

The spelling of 11240400300 in words is "eleven billion, two hundred forty million, four hundred thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 103 150 206 300 309 412 515 618 1030 1236 1545 2060 2575 3090 5150 6180 7725 10300 15450 30900 363767 727534 1091301 1455068 1818835 2182602 3637670 4365204 5456505 7275340 9094175 10913010 18188350 21826020 27282525 36376700 37468001 54565050 74936002 109130100 112404003 149872004 187340005 224808006 374680010 449616012 562020015 749360020 936700025 1124040030 1873400050 2248080060 2810100075 3746800100 5620200150 11240400300