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2042344101 = 3797254481
BaseRepresentation
bin111100110111011…
…1011001010100101
312021100000211102010
41321232323022211
513140320002401
6534354304433
7101416431660
oct17156731245
95240024363
102042344101
11958939396
1248bb88119
13267181b45
1415535c6d7
15be478ed6
hex79bbb2a5

2042344101 has 8 divisors (see below), whose sum is σ = 3112143424. Its totient is φ = 1167053760.

The previous prime is 2042344099. The next prime is 2042344123. The reversal of 2042344101 is 1014432402.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2042344101 - 21 = 2042344099 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 97254481 = 2042344101 / (2 + 0 + 4 + 2 + 3 + 4 + 4 + 1 + 0 + 1).

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042344301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48627220 + ... + 48627261.

It is an arithmetic number, because the mean of its divisors is an integer number (389017928).

Almost surely, 22042344101 is an apocalyptic number.

2042344101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2042344101 is a deficient number, since it is larger than the sum of its proper divisors (1069799323).

2042344101 is an equidigital number, since it uses as much as digits as its factorization.

2042344101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97254491.

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2042344101 is about 45192.3013465789. The cubic root of 2042344101 is about 1268.7507299016.

Adding to 2042344101 its reverse (1014432402), we get a palindrome (3056776503).

It can be divided in two parts, 204234 and 4101, that added together give a triangular number (208335 = T645).

The spelling of 2042344101 in words is "two billion, forty-two million, three hundred forty-four thousand, one hundred one".

Divisors: 1 3 7 21 97254481 291763443 680781367 2042344101