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442210142121 = 311127275338327
BaseRepresentation
bin1100110111101011100…
…01110100011110101001
31120021102101101202111220
412123311301310132221
524221121244021441
6535052030012253
743643244121566
oct6336561643651
91507371352456
10442210142121
111605a4107980
1271853347089
13329145636b7
14175900cb86d
15b782452466
hex66f5c747a9

442210142121 has 32 divisors (see below), whose sum is σ = 648531836928. Its totient is φ = 265792343040.

The previous prime is 442210142107. The next prime is 442210142159. The reversal of 442210142121 is 121241012244.

It is a happy number.

It is not a de Polignac number, because 442210142121 - 214 = 442210125737 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 442210142091 and 442210142100.

It is not an unprimeable number, because it can be changed into a prime (442210142221) 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 31 ways as a sum of consecutive naturals, for example, 11518660 + ... + 11556986.

It is an arithmetic number, because the mean of its divisors is an integer number (20266619904).

Almost surely, 2442210142121 is an apocalyptic number.

It is an amenable number.

442210142121 is a deficient number, since it is larger than the sum of its proper divisors (206321694807).

442210142121 is a wasteful number, since it uses less digits than its factorization.

442210142121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41221.

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 442210142121 its reverse (121241012244), we get a palindrome (563451154365).

The spelling of 442210142121 in words is "four hundred forty-two billion, two hundred ten million, one hundred forty-two thousand, one hundred twenty-one".

Divisors: 1 3 11 33 127 381 1397 2753 4191 8259 30283 38327 90849 114981 349631 421597 1048893 1264791 3845941 4867529 11537823 14602587 53542819 105514231 160628457 316542693 1160656541 3481969623 13400307337 40200922011 147403380707 442210142121