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1002103113 = 311101300661
BaseRepresentation
bin111011101110101…
…110000101001001
32120211122010001010
4323232232011021
54023014244423
6243234314133
733555510264
oct7356560511
92524563033
101002103113
1147472a9a0
1223b728949
1312c7c552b
1497137cdb
155ce99693
hex3bbae149

1002103113 has 16 divisors (see below), whose sum is σ = 1472041152. Its totient is φ = 601320000.

The previous prime is 1002103087. The next prime is 1002103129. The reversal of 1002103113 is 3113012001.

It is not a de Polignac number, because 1002103113 - 29 = 1002102601 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1002103133) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 146998 + ... + 153663.

It is an arithmetic number, because the mean of its divisors is an integer number (92002572).

Almost surely, 21002103113 is an apocalyptic number.

It is an amenable number.

1002103113 is a deficient number, since it is larger than the sum of its proper divisors (469938039).

1002103113 is a wasteful number, since it uses less digits than its factorization.

1002103113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300776.

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 1002103113 is about 31656.0122725526. The cubic root of 1002103113 is about 1000.7005467863.

Adding to 1002103113 its reverse (3113012001), we get a palindrome (4115115114).

The spelling of 1002103113 in words is "one billion, two million, one hundred three thousand, one hundred thirteen".

Divisors: 1 3 11 33 101 303 1111 3333 300661 901983 3307271 9921813 30366761 91100283 334034371 1002103113