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2420213204241 = 34726029101141
BaseRepresentation
bin100011001101111111111…
…100101100010100010001
322120100222211010101110000
4203031333330230110101
5304123044040013431
65051455224200213
7336566065543500
oct43157774542421
98510884111400
102420213204241
11853452293758
12331078609069
131472c07a87a1
14851d3396837
1542e4e2089e6
hex2337ff2c511

2420213204241 has 60 divisors (see below), whose sum is σ = 4206385535220. Its totient is φ = 1382735914560.

The previous prime is 2420213204237. The next prime is 2420213204267. The reversal of 2420213204241 is 1424023120242.

It is a happy number.

2420213204241 is a `hidden beast` number, since 2 + 4 + 2 + 0 + 213 + 20 + 424 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2128914446400 + 291298757841 = 1459080^2 + 539721^2 .

It is not a de Polignac number, because 2420213204241 - 22 = 2420213204237 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2420213204291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 23878531 + ... + 23979671.

It is an arithmetic number, because the mean of its divisors is an integer number (70106425587).

Almost surely, 22420213204241 is an apocalyptic number.

2420213204241 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2420213204241 is a deficient number, since it is larger than the sum of its proper divisors (1786172330979).

2420213204241 is a wasteful number, since it uses less digits than its factorization.

2420213204241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107196 (or 107180 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 2420213204241 its reverse (1424023120242), we get a palindrome (3844236324483).

The spelling of 2420213204241 in words is "two trillion, four hundred twenty billion, two hundred thirteen million, two hundred four thousand, two hundred forty-one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 441 567 1323 3969 6029 18087 42203 54261 101141 126609 162783 295421 303423 379827 488349 707987 886263 910269 1139481 2123961 2658789 2730807 3418443 4955909 6371883 7976367 8192421 14867727 19115649 23929101 44603181 57346947 133809543 401428629 609779089 1829337267 4268453623 5488011801 12805360869 16464035403 29879175361 38416082607 49392106209 89637526083 115248247821 268912578249 345744743463 806737734747 2420213204241