Search a number
-
+
100826019 = 3373371583
BaseRepresentation
bin1100000001001…
…11101110100011
321000201111022000
412000213232203
5201302413034
614001015043
72333002260
oct600475643
9230644260
10100826019
1151a06098
1229924483
1317b72788
14d568267
158cb9599
hex6027ba3

100826019 has 32 divisors (see below), whose sum is σ = 171325440. Its totient is φ = 57407616.

The previous prime is 100826017. The next prime is 100826029. The reversal of 100826019 is 910628001.

It is not a de Polignac number, because 100826019 - 21 = 100826017 is a prime.

It is a super-2 number, since 2×1008260192 = 20331772214776722, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 100825983 and 100826001.

It is not an unprimeable number, because it can be changed into a prime (100826017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62902 + ... + 64484.

It is an arithmetic number, because the mean of its divisors is an integer number (5353920).

Almost surely, 2100826019 is an apocalyptic number.

100826019 is a deficient number, since it is larger than the sum of its proper divisors (70499421).

100826019 is a wasteful number, since it uses less digits than its factorization.

100826019 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1936 (or 1930 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 100826019 is about 10041.2160120177. The cubic root of 100826019 is about 465.4333940651.

The spelling of 100826019 in words is "one hundred million, eight hundred twenty-six thousand, nineteen".

Divisors: 1 3 7 9 21 27 63 189 337 1011 1583 2359 3033 4749 7077 9099 11081 14247 21231 33243 42741 63693 99729 299187 533471 1600413 3734297 4801239 11202891 14403717 33608673 100826019