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1000102103 = 721113532693
BaseRepresentation
bin111011100111000…
…101100011010111
32120200212110011122
4323213011203113
54022011231403
6243123354155
733532504400
oct7347054327
92520773148
101000102103
11473593570
1223ab2295b
1312c2747c0
1496b769a7
155cc01838
hex3b9c58d7

1000102103 has 48 divisors (see below), whose sum is σ = 1393078176. Its totient is φ = 705519360.

The previous prime is 1000102063. The next prime is 1000102121. The reversal of 1000102103 is 3012010001.

It is not a de Polignac number, because 1000102103 - 26 = 1000102039 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000102133) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 370025 + ... + 372717.

It is an arithmetic number, because the mean of its divisors is an integer number (29022462).

Almost surely, 21000102103 is an apocalyptic number.

1000102103 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1000102103 is a deficient number, since it is larger than the sum of its proper divisors (392976073).

1000102103 is a wasteful number, since it uses less digits than its factorization.

1000102103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2784 (or 2777 counting only the distinct ones).

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

The square root of 1000102103 is about 31624.3909506571. The cubic root of 1000102103 is about 1000.0340331751.

Adding to 1000102103 its reverse (3012010001), we get a palindrome (4012112104).

The spelling of 1000102103 in words is "one billion, one hundred two thousand, one hundred three".

Divisors: 1 7 11 13 49 53 77 91 143 371 539 583 637 689 1001 2597 2693 4081 4823 7007 7579 18851 28567 29623 33761 35009 53053 131957 142729 207361 245063 371371 385099 999103 1451527 1570019 1715441 1855477 2695693 6993721 10990133 12988339 18869851 20410247 76930931 90918373 142871729 1000102103