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2042304133 = 37101546509
BaseRepresentation
bin111100110111011…
…0001011010000101
312021022221210120211
41321232301122011
513140312213013
6534353355421
7101416204312
oct17156613205
95238853524
102042304133
11958911361
1248bb68b71
132671698ac
1415534bd09
15be46c23d
hex79bb1685

2042304133 has 8 divisors (see below), whose sum is σ = 2118272760. Its totient is φ = 1967428800.

The previous prime is 2042304127. The next prime is 2042304139. The reversal of 2042304133 is 3314032402.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2042304127) and next prime (2042304139).

It can be written as a sum of positive squares in 4 ways, for example, as 1293625089 + 748679044 = 35967^2 + 27362^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 2042304133 - 25 = 2042304101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042304139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 269518 + ... + 276991.

It is an arithmetic number, because the mean of its divisors is an integer number (264784095).

Almost surely, 22042304133 is an apocalyptic number.

It is an amenable number.

2042304133 is a deficient number, since it is larger than the sum of its proper divisors (75968627).

2042304133 is a wasteful number, since it uses less digits than its factorization.

2042304133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546647.

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 2042304133 is about 45191.8591452045. The cubic root of 2042304133 is about 1268.7424535033.

Adding to 2042304133 its reverse (3314032402), we get a palindrome (5356336535).

The spelling of 2042304133 in words is "two billion, forty-two million, three hundred four thousand, one hundred thirty-three".

Divisors: 1 37 101 3737 546509 20220833 55197409 2042304133