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442312101 = 32711787811
BaseRepresentation
bin11010010111010…
…010010110100101
31010211021210010200
4122113102112211
51401212441401
6111520141113
713650406440
oct3227222645
91124253120
10442312101
112077456a0
12104167799
137083764a
1442a5a657
1528c70686
hex1a5d25a5

442312101 has 48 divisors (see below), whose sum is σ = 798540288. Its totient is φ = 229197600.

The previous prime is 442312099. The next prime is 442312109. The reversal of 442312101 is 101213244.

It is not a de Polignac number, because 442312101 - 21 = 442312099 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442312109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 544986 + ... + 545796.

It is an arithmetic number, because the mean of its divisors is an integer number (16636256).

Almost surely, 2442312101 is an apocalyptic number.

It is an amenable number.

442312101 is a deficient number, since it is larger than the sum of its proper divisors (356228187).

442312101 is a wasteful number, since it uses less digits than its factorization.

442312101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1622 (or 1619 counting only the distinct ones).

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

The square root of 442312101 is about 21031.2172971514. The cubic root of 442312101 is about 761.9204093612.

Adding to 442312101 its reverse (101213244), we get a palindrome (543525345).

The spelling of 442312101 in words is "four hundred forty-two million, three hundred twelve thousand, one hundred one".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 693 787 811 2361 2433 5509 5677 7083 7299 8657 8921 16527 17031 25971 26763 49581 51093 60599 62447 77913 80289 181797 187341 545391 562023 638257 1914771 4467799 5744313 7020827 13403397 21062481 40210191 49145789 63187443 147437367 442312101