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241305144100 = 22522413051441
BaseRepresentation
bin1110000010111011101…
…0000100101100100100
3212001211222012102010021
43200232322010230210
512423143104102400
6302504250404524
723301523611436
oct3405672045444
9761758172107
10241305144100
1193378510329
123a924730744
13199a78bac47
14b971b4c656
15642481571a
hex382ee84b24

241305144100 has 18 divisors (see below), whose sum is σ = 523632162914. Its totient is φ = 96522057600.

The previous prime is 241305144053. The next prime is 241305144103. The reversal of 241305144100 is 1441503142.

It can be written as a sum of positive squares in 3 ways, for example, as 11985444 + 241293158656 = 3462^2 + 491216^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (241305144103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1206525621 + ... + 1206525820.

Almost surely, 2241305144100 is an apocalyptic number.

241305144100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241305144100 is an abundant number, since it is smaller than the sum of its proper divisors (282327018814).

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

241305144100 is a wasteful number, since it uses less digits than its factorization.

241305144100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2413051455 (or 2413051448 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 241305144100 its reverse (1441503142), we get a palindrome (242746647242).

The spelling of 241305144100 in words is "two hundred forty-one billion, three hundred five million, one hundred forty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2413051441 4826102882 9652205764 12065257205 24130514410 48261028820 60326286025 120652572050 241305144100