Search a number
-
+
1003431114 = 232721137677
BaseRepresentation
bin111011110011110…
…010010011001010
32120221010120201100
4323303302103022
54023334243424
6243323002230
733603011100
oct7363622312
92527116640
101003431114
11475457714
12240069376
1312cb6bb2a
14973a1c70
155d15cdc9
hex3bcf24ca

1003431114 has 36 divisors (see below), whose sum is σ = 2529058194. Its totient is φ = 286694352.

The previous prime is 1003431067. The next prime is 1003431161. The reversal of 1003431114 is 4111343001.

It is an interprime number because it is at equal distance from previous prime (1003431067) and next prime (1003431161).

It can be written as a sum of positive squares in only one way, i.e., 956850489 + 46580625 = 30933^2 + 6825^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 567957 + ... + 569720.

Almost surely, 21003431114 is an apocalyptic number.

1003431114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1003431114 is an abundant number, since it is smaller than the sum of its proper divisors (1525627080).

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

1003431114 is a wasteful number, since it uses less digits than its factorization.

1003431114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137699 (or 1137689 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1003431114 is about 31676.9808220417. The cubic root of 1003431114 is about 1001.1423990940.

Adding to 1003431114 its reverse (4111343001), we get a palindrome (5114774115).

The spelling of 1003431114 in words is "one billion, three million, four hundred thirty-one thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 882 1137677 2275354 3413031 6826062 7963739 10239093 15927478 20478186 23891217 47782434 55746173 71673651 111492346 143347302 167238519 334477038 501715557 1003431114