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100163405 = 5171178393
BaseRepresentation
bin1011111100001…
…01111101001101
320222110211100202
411332011331031
5201120212110
613534503245
72324242406
oct576057515
9228424322
10100163405
11515a3281
1229664b25
131799ccb4
14d4349ad
158bd80a5
hex5f85f4d

100163405 has 8 divisors (see below), whose sum is σ = 127266552. Its totient is φ = 75417088.

The previous prime is 100163377. The next prime is 100163407. The reversal of 100163405 is 504361001.

It can be written as a sum of positive squares in 4 ways, for example, as 31787044 + 68376361 = 5638^2 + 8269^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100163405 - 26 = 100163341 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100163407) 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 7 ways as a sum of consecutive naturals, for example, 589112 + ... + 589281.

It is an arithmetic number, because the mean of its divisors is an integer number (15908319).

Almost surely, 2100163405 is an apocalyptic number.

It is an amenable number.

100163405 is a deficient number, since it is larger than the sum of its proper divisors (27103147).

100163405 is a wasteful number, since it uses less digits than its factorization.

100163405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178415.

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 100163405 is about 10008.1669150749. The cubic root of 100163405 is about 464.4115653873.

The spelling of 100163405 in words is "one hundred million, one hundred sixty-three thousand, four hundred five".

Divisors: 1 5 17 85 1178393 5891965 20032681 100163405