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828006101 = 1363692777
BaseRepresentation
bin110001010110100…
…101111011010101
32010201001001211122
4301112211323111
53143432143401
6214055013325
726342635646
oct6126457325
92121031748
10828006101
1139542a26a
121b136a245
1310270a450
147bd796cd
154ca5a21b
hex315a5ed5

828006101 has 4 divisors (see below), whose sum is σ = 891698892. Its totient is φ = 764313312.

The previous prime is 828006061. The next prime is 828006107. The reversal of 828006101 is 101600828.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 120978001 + 707028100 = 10999^2 + 26590^2 .

It is a cyclic number.

It is not a de Polignac number, because 828006101 - 222 = 823811797 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828006107) 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 3 ways as a sum of consecutive naturals, for example, 31846376 + ... + 31846401.

It is an arithmetic number, because the mean of its divisors is an integer number (222924723).

Almost surely, 2828006101 is an apocalyptic number.

It is an amenable number.

828006101 is a deficient number, since it is larger than the sum of its proper divisors (63692791).

828006101 is a wasteful number, since it uses less digits than its factorization.

828006101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63692790.

The product of its (nonzero) digits is 768, while the sum is 26.

The square root of 828006101 is about 28775.0951518844. The cubic root of 828006101 is about 939.0264936500.

Adding to 828006101 its reverse (101600828), we get a palindrome (929606929).

The spelling of 828006101 in words is "eight hundred twenty-eight million, six thousand, one hundred one".

Divisors: 1 13 63692777 828006101