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1012000103 = 10114967247
BaseRepresentation
bin111100010100011…
…110010101100111
32121112020221011022
4330110132111213
54033033000403
6244230401355
734035600422
oct7424362547
92545227138
101012000103
1147a27a724
12242b0025b
1313187c23a
14985929b9
155dca1d38
hex3c51e567

1012000103 has 8 divisors (see below), whose sum is σ = 1028894400. Its totient is φ = 995240800.

The previous prime is 1012000079. The next prime is 1012000109. The reversal of 1012000103 is 3010002101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1012000103 - 28 = 1011999847 is a prime.

It is a super-3 number, since 3×10120001033 (a number of 28 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012000109) 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 7 ways as a sum of consecutive naturals, for example, 18575 + ... + 48672.

It is an arithmetic number, because the mean of its divisors is an integer number (128611800).

Almost surely, 21012000103 is an apocalyptic number.

1012000103 is a deficient number, since it is larger than the sum of its proper divisors (16894297).

1012000103 is a wasteful number, since it uses less digits than its factorization.

1012000103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67497.

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 1012000103 is about 31811.9490600623. The cubic root of 1012000103 is about 1003.9841398822.

Adding to 1012000103 its reverse (3010002101), we get a palindrome (4022002204).

The spelling of 1012000103 in words is "one billion, twelve million, one hundred three", and thus it is an aban number.

Divisors: 1 101 149 15049 67247 6791947 10019803 1012000103