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2101040442 = 232116724469
BaseRepresentation
bin111110100111011…
…0101010100111010
312102102110220122200
41331032311110322
513300331243232
6544252331030
7103031356224
oct17516652472
95372426580
102101040442
11988a89866
124a7773a76
132763935c7
1415d07b414
15c46c077c
hex7d3b553a

2101040442 has 12 divisors (see below), whose sum is σ = 4552254330. Its totient is φ = 700346808.

The previous prime is 2101040441. The next prime is 2101040443. The reversal of 2101040442 is 2440401012.

2101040442 is a `hidden beast` number, since 210 + 10 + 4 + 0 + 442 = 666.

It is an interprime number because it is at equal distance from previous prime (2101040441) and next prime (2101040443).

It can be written as a sum of positive squares in only one way, i.e., 1753180641 + 347859801 = 41871^2 + 18651^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 116724469 = 2101040442 / (2 + 1 + 0 + 1 + 0 + 4 + 0 + 4 + 4 + 2).

It is not an unprimeable number, because it can be changed into a prime (2101040441) 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 5 ways as a sum of consecutive naturals, for example, 58362217 + ... + 58362252.

Almost surely, 22101040442 is an apocalyptic number.

2101040442 is an abundant number, since it is smaller than the sum of its proper divisors (2451213888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2101040442 is a wasteful number, since it uses less digits than its factorization.

2101040442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116724477 (or 116724474 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2101040442 is about 45837.1076967123. The cubic root of 2101040442 is about 1280.7906171094.

Adding to 2101040442 its reverse (2440401012), we get a palindrome (4541441454).

The spelling of 2101040442 in words is "two billion, one hundred one million, forty thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 116724469 233448938 350173407 700346814 1050520221 2101040442