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1003210101 = 321049106261
BaseRepresentation
bin111011110010111…
…100010101110101
32120220201100112200
4323302330111311
54023310210401
6243314135113
733601100535
oct7362742565
92526640480
101003210101
11475316663
1223bb81499
1312cac235a
14973454c5
155d117686
hex3bcbc575

1003210101 has 12 divisors (see below), whose sum is σ = 1450476300. Its totient is φ = 668162880.

The previous prime is 1003210097. The next prime is 1003210133. The reversal of 1003210101 is 1010123001.

It can be written as a sum of positive squares in 2 ways, for example, as 350663076 + 652547025 = 18726^2 + 25545^2 .

It is not a de Polignac number, because 1003210101 - 22 = 1003210097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003210141) 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, 43690 + ... + 62571.

It is an arithmetic number, because the mean of its divisors is an integer number (120873025).

Almost surely, 21003210101 is an apocalyptic number.

It is an amenable number.

1003210101 is a deficient number, since it is larger than the sum of its proper divisors (447266199).

1003210101 is a wasteful number, since it uses less digits than its factorization.

1003210101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107316 (or 107313 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 1003210101 is about 31673.4920872328. The cubic root of 1003210101 is about 1001.0688907322.

Adding to 1003210101 its reverse (1010123001), we get a palindrome (2013333102).

The spelling of 1003210101 in words is "one billion, three million, two hundred ten thousand, one hundred one".

Divisors: 1 3 9 1049 3147 9441 106261 318783 956349 111467789 334403367 1003210101