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442103121 = 323137113379
BaseRepresentation
bin11010010110011…
…111010101010001
31010210220011110200
4122112133111101
51401134244441
6111511445413
713645546245
oct3226372521
91123804420
10442103121
11207612689
12104086869
13707934a5
1442a04425
1528c2d7b6
hex1a59f551

442103121 has 48 divisors (see below), whose sum is σ = 684802560. Its totient is φ = 274337280.

The previous prime is 442103119. The next prime is 442103141. The reversal of 442103121 is 121301244.

442103121 is a `hidden beast` number, since 442 + 103 + 121 = 666.

It is not a de Polignac number, because 442103121 - 21 = 442103119 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 442103094 and 442103103.

It is not an unprimeable number, because it can be changed into a prime (442103141) 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, 1166310 + ... + 1166688.

It is an arithmetic number, because the mean of its divisors is an integer number (14266720).

Almost surely, 2442103121 is an apocalyptic number.

It is an amenable number.

442103121 is a deficient number, since it is larger than the sum of its proper divisors (242699439).

442103121 is a wasteful number, since it uses less digits than its factorization.

442103121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 563 counting only the distinct ones).

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

The square root of 442103121 is about 21026.2483814874. The cubic root of 442103121 is about 761.8003951526.

Adding to 442103121 its reverse (121301244), we get a palindrome (563404365).

The spelling of 442103121 in words is "four hundred forty-two million, one hundred three thousand, one hundred twenty-one".

Divisors: 1 3 9 31 37 93 111 113 279 333 339 379 1017 1137 1147 3411 3441 3503 4181 10323 10509 11749 12543 14023 31527 35247 37629 42069 42827 105741 126207 128481 129611 385443 388833 434713 1166499 1304139 1327637 1584599 3912417 3982911 4753797 11948733 14261391 49122569 147367707 442103121