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100825319 = 714403617
BaseRepresentation
bin1100000001001…
…11100011100111
321000201110100002
412000213203213
5201302402234
614001011515
72333000240
oct600474347
9230643302
10100825319
1151a05611
1229923b9b
1317b7236a
14d567cc7
158cb927e
hex60278e7

100825319 has 4 divisors (see below), whose sum is σ = 115228944. Its totient is φ = 86421696.

The previous prime is 100825313. The next prime is 100825321. The reversal of 100825319 is 913528001.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 913528001 = 1715953239.

It is a cyclic number.

It is not a de Polignac number, because 100825319 - 24 = 100825303 is a prime.

It is a super-2 number, since 2×1008253192 = 20331489902903522, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100825291 and 100825300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100825313) 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 3 ways as a sum of consecutive naturals, for example, 7201802 + ... + 7201815.

It is an arithmetic number, because the mean of its divisors is an integer number (28807236).

Almost surely, 2100825319 is an apocalyptic number.

100825319 is a deficient number, since it is larger than the sum of its proper divisors (14403625).

100825319 is an equidigital number, since it uses as much as digits as its factorization.

100825319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14403624.

The product of its (nonzero) digits is 2160, while the sum is 29.

The square root of 100825319 is about 10041.1811556211. The cubic root of 100825319 is about 465.4323169485.

The spelling of 100825319 in words is "one hundred million, eight hundred twenty-five thousand, three hundred nineteen".

Divisors: 1 7 14403617 100825319