Search a number
-
+
1004202232010 = 25179760897649
BaseRepresentation
bin11101001110011110001…
…11100000100011001010
310120000000120122221002122
432213033013200203022
5112423101232411020
62045154002531242
7132360032064215
oct16471707404312
93500016587078
101004202232010
11357974a8700a
12142755366b22
1373907a76463
14368645a077c
151b1c5637125
hexe9cf1e08ca

1004202232010 has 32 divisors (see below), whose sum is σ = 1933622182800. Its totient is φ = 374155149312.

The previous prime is 1004202232001. The next prime is 1004202232031. The reversal of 1004202232010 is 102322024001.

1004202232010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 543654054241 + 460548177769 = 737329^2 + 678637^2 .

It is a super-3 number, since 3×10042022320103 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1004202232010.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30432335 + ... + 30465314.

Almost surely, 21004202232010 is an apocalyptic number.

1004202232010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1004202232010 is a deficient number, since it is larger than the sum of its proper divisors (929419950790).

1004202232010 is a wasteful number, since it uses less digits than its factorization.

1004202232010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60897770.

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 1004202232010 its reverse (102322024001), we get a palindrome (1106524256011).

The spelling of 1004202232010 in words is "one trillion, four billion, two hundred two million, two hundred thirty-two thousand, ten".

Divisors: 1 2 5 10 17 34 85 97 170 194 485 970 1649 3298 8245 16490 60897649 121795298 304488245 608976490 1035260033 2070520066 5176300165 5907071953 10352600330 11814143906 29535359765 59070719530 100420223201 200840446402 502101116005 1004202232010