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11241504200 = 235256207521
BaseRepresentation
bin10100111100000101…
…11011110111001000
31002000102212120201102
422132002323313020
5141010311113300
65055252240532
7545401131503
oct123602736710
932012776642
1011241504200
114849599543
122218910148
1310a1c84044
14788db813a
1545bd960d5
hex29e0bbdc8

11241504200 has 24 divisors (see below), whose sum is σ = 26136497730. Its totient is φ = 4496601600.

The previous prime is 11241504143. The next prime is 11241504203. The reversal of 11241504200 is 240514211.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 8904941956 + 2336562244 = 94366^2 + 48338^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (11241504203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28103561 + ... + 28103960.

Almost surely, 211241504200 is an apocalyptic number.

11241504200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11241504200 is an abundant number, since it is smaller than the sum of its proper divisors (14894993530).

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

11241504200 is a wasteful number, since it uses less digits than its factorization.

11241504200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56207537 (or 56207528 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The spelling of 11241504200 in words is "eleven billion, two hundred forty-one million, five hundred four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 56207521 112415042 224830084 281037605 449660168 562075210 1124150420 1405188025 2248300840 2810376050 5620752100 11241504200