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100080429 = 3192397787
BaseRepresentation
bin1011111011100…
…01101100101101
320222022121112120
411331301230231
5201110033204
613533023153
72323445451
oct575615455
9228277476
10100080429
11515469a9
1229624ab9
13179712b7
14d412661
158bbd6d9
hex5f71b2d

100080429 has 32 divisors (see below), whose sum is σ = 148270080. Its totient is φ = 59761152.

The previous prime is 100080427. The next prime is 100080433. The reversal of 100080429 is 924080001.

It is not a de Polignac number, because 100080429 - 21 = 100080427 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100080399 and 100080408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100080427) 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 31 ways as a sum of consecutive naturals, for example, 126774 + ... + 127560.

It is an arithmetic number, because the mean of its divisors is an integer number (4633440).

Almost surely, 2100080429 is an apocalyptic number.

100080429 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

100080429 is a deficient number, since it is larger than the sum of its proper divisors (48189651).

100080429 is a wasteful number, since it uses less digits than its factorization.

100080429 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929.

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 100080429 is about 10004.0206417220. The cubic root of 100080429 is about 464.2832894638.

The spelling of 100080429 in words is "one hundred million, eighty thousand, four hundred twenty-nine".

Divisors: 1 3 19 23 57 69 97 291 437 787 1311 1843 2231 2361 5529 6693 14953 18101 42389 44859 54303 76339 127167 229017 343919 1031757 1450441 1755797 4351323 5267391 33360143 100080429