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1002241314 = 232285719489
BaseRepresentation
bin111011101111001…
…111110100100010
32120211220010121200
4323233033310202
54023033210224
6243241302030
733556624224
oct7357176442
92524803550
101002241314
11474814808
1223b794916
1312c8433c9
1497172414
155cec55c9
hex3bbcfd22

1002241314 has 24 divisors (see below), whose sum is σ = 2172394380. Its totient is φ = 333946368.

The previous prime is 1002241313. The next prime is 1002241327. The reversal of 1002241314 is 4131422001.

It can be written as a sum of positive squares in 2 ways, for example, as 946485225 + 55756089 = 30765^2 + 7467^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1002241313) 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 11 ways as a sum of consecutive naturals, for example, 41682 + ... + 61170.

Almost surely, 21002241314 is an apocalyptic number.

1002241314 is an abundant number, since it is smaller than the sum of its proper divisors (1170153066).

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

1002241314 is a wasteful number, since it uses less digits than its factorization.

1002241314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22354 (or 22351 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1002241314 is about 31658.1950527821. The cubic root of 1002241314 is about 1000.7465471953.

Adding to 1002241314 its reverse (4131422001), we get a palindrome (5133663315).

The spelling of 1002241314 in words is "one billion, two million, two hundred forty-one thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 2857 5714 8571 17142 19489 25713 38978 51426 58467 116934 175401 350802 55680073 111360146 167040219 334080438 501120657 1002241314