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241300112420 = 225173719181249
BaseRepresentation
bin1110000010111010011…
…0111000010000100100
3212001211121201202221202
43200232212320100210
512423140312044140
6302503550502032
723301433054013
oct3405646702044
9761747652852
10241300112420
1193375693a14
123a922b04918
13199a6848913
14b9711dca7a
15642416e915
hex382e9b8424

241300112420 has 48 divisors (see below), whose sum is σ = 551038950000. Its totient is φ = 88387190784.

The previous prime is 241300112413. The next prime is 241300112429. The reversal of 241300112420 is 24211003142.

It can be written as a sum of positive squares in 8 ways, for example, as 34012949476 + 207287162944 = 184426^2 + 455288^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 241300112392 and 241300112401.

It is not an unprimeable number, because it can be changed into a prime (241300112429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9578045 + ... + 9603204.

It is an arithmetic number, because the mean of its divisors is an integer number (11479978125).

Almost surely, 2241300112420 is an apocalyptic number.

241300112420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241300112420 is an abundant number, since it is smaller than the sum of its proper divisors (309738837580).

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

241300112420 is a wasteful number, since it uses less digits than its factorization.

241300112420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19181312 (or 19181310 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 241300112420 its reverse (24211003142), we get a palindrome (265511115562).

The spelling of 241300112420 in words is "two hundred forty-one billion, three hundred million, one hundred twelve thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 37 68 74 85 148 170 185 340 370 629 740 1258 2516 3145 6290 12580 19181249 38362498 76724996 95906245 191812490 326081233 383624980 652162466 709706213 1304324932 1419412426 1630406165 2838824852 3260812330 3548531065 6521624660 7097062130 12065005621 14194124260 24130011242 48260022484 60325028105 120650056210 241300112420