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442301210001 = 32710169511427
BaseRepresentation
bin1100110111110110011…
…01001101110110010001
31120021122201202111011100
412123323031031312101
524221313102210001
6535105041535013
743645431152610
oct6337315156621
91507581674140
10442301210001
11160640558592
1271879944469
133292a39a711
141759c235877
15b78a440586
hex66fb34dd91

442301210001 has 24 divisors (see below), whose sum is σ = 737377228224. Its totient is φ = 250241133600.

The previous prime is 442301209981. The next prime is 442301210023. The reversal of 442301210001 is 100012103244.

It is not a de Polignac number, because 442301210001 - 26 = 442301209937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (442301214001) 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 23 ways as a sum of consecutive naturals, for example, 34749351 + ... + 34762076.

It is an arithmetic number, because the mean of its divisors is an integer number (30724051176).

Almost surely, 2442301210001 is an apocalyptic number.

It is an amenable number.

442301210001 is a deficient number, since it is larger than the sum of its proper divisors (295076018223).

442301210001 is a wasteful number, since it uses less digits than its factorization.

442301210001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69511541 (or 69511538 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 442301210001 its reverse (100012103244), we get a palindrome (542313313245).

The spelling of 442301210001 in words is "four hundred forty-two billion, three hundred one million, two hundred ten thousand, one".

Divisors: 1 3 7 9 21 63 101 303 707 909 2121 6363 69511427 208534281 486579989 625602843 1459739967 4379219901 7020654127 21061962381 49144578889 63185887143 147433736667 442301210001