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1002002331 = 31122760337
BaseRepresentation
bin111011101110010…
…101011110011011
32120211102222210110
4323232111132123
54023003033311
6243232215403
733554610411
oct7356253633
92524388713
101002002331
11474671200
1223b69a563
1312c78b6b5
149710d2b1
155ce798a6
hex3bb9579b

1002002331 has 12 divisors (see below), whose sum is σ = 1468499816. Its totient is φ = 607273920.

The previous prime is 1002002329. The next prime is 1002002347. The reversal of 1002002331 is 1332002001.

It is a happy number.

It is not a de Polignac number, because 1002002331 - 21 = 1002002329 is a prime.

It is a super-2 number, since 2×10020023312 = 2008017342658867122, which contains 22 as substring.

It is a Duffinian number.

1002002331 is a modest number, since divided by 2331 gives 1002 as remainder.

It is not an unprimeable number, because it can be changed into a prime (1002002381) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1379806 + ... + 1380531.

Almost surely, 21002002331 is an apocalyptic number.

1002002331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1002002331 is a deficient number, since it is larger than the sum of its proper divisors (466497485).

1002002331 is a wasteful number, since it uses less digits than its factorization.

1002002331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2760362 (or 2760351 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1002002331 is about 31654.4204022124. The cubic root of 1002002331 is about 1000.6669986805. Note that the first 3 decimals are identical.

Adding to 1002002331 its reverse (1332002001), we get a palindrome (2334004332).

The spelling of 1002002331 in words is "one billion, two million, two thousand, three hundred thirty-one".

Divisors: 1 3 11 33 121 363 2760337 8281011 30363707 91091121 334000777 1002002331