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4442242101 = 3115961113331
BaseRepresentation
bin1000010001100011…
…10011110000110101
3102110120212021120020
410020301303300311
533044203221401
62012444355353
7215040302103
oct41061636065
912416767506
104442242101
11197a591270
12a3b845b59
1355a43322b
14301d92c73
151aeeced36
hex108c73c35

4442242101 has 64 divisors (see below), whose sum is σ = 6758138880. Its totient is φ = 2572416000.

The previous prime is 4442242099. The next prime is 4442242109. The reversal of 4442242101 is 1012422444.

4442242101 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4442242101 - 21 = 4442242099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4442242109) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13420506 + ... + 13420836.

It is an arithmetic number, because the mean of its divisors is an integer number (105595920).

Almost surely, 24442242101 is an apocalyptic number.

It is an amenable number.

4442242101 is a deficient number, since it is larger than the sum of its proper divisors (2315896779).

4442242101 is a wasteful number, since it uses less digits than its factorization.

4442242101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578.

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 4442242101 is about 66650.1470440989. The cubic root of 4442242101 is about 1643.8697657177.

Adding to 4442242101 its reverse (1012422444), we get a palindrome (5454664545).

The spelling of 4442242101 in words is "four billion, four hundred forty-two million, two hundred forty-two thousand, one hundred one".

Divisors: 1 3 11 33 59 61 113 177 183 331 339 649 671 993 1243 1947 2013 3599 3641 3729 6667 6893 10797 10923 19529 20001 20191 20679 37403 39589 58587 60573 73337 75823 112209 118767 214819 220011 222101 227469 406687 411433 644457 666303 1191269 1220061 1234299 2206777 2281583 3573807 4473557 6620331 6844749 13103959 13420671 24274547 25097413 39311877 72823641 75292239 134613397 403840191 1480747367 4442242101