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101683908 = 22322824553
BaseRepresentation
bin1100000111110…
…01001011000100
321002100002002200
412003321023010
5202012341113
614031234500
72343204354
oct603711304
9232302080
10101683908
1152441697
122a078a30
13180b30c1
14d70cb64
158dd8873
hex60f92c4

101683908 has 18 divisors (see below), whose sum is σ = 257034414. Its totient is φ = 33894624.

The previous prime is 101683891. The next prime is 101683909. The reversal of 101683908 is 809386101.

It can be written as a sum of positive squares in only one way, i.e., 93663684 + 8020224 = 9678^2 + 2832^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2824553 = 101683908 / (1 + 0 + 1 + 6 + 8 + 3 + 9 + 0 + 8).

It is not an unprimeable number, because it can be changed into a prime (101683909) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1412241 + ... + 1412312.

Almost surely, 2101683908 is an apocalyptic number.

101683908 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

101683908 is an abundant number, since it is smaller than the sum of its proper divisors (155350506).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101683908 is a wasteful number, since it uses less digits than its factorization.

101683908 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2824563 (or 2824558 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 101683908 is about 10083.8439099383. The cubic root of 101683908 is about 466.7497310191.

The spelling of 101683908 in words is "one hundred one million, six hundred eighty-three thousand, nine hundred eight".

Divisors: 1 2 3 4 6 9 12 18 36 2824553 5649106 8473659 11298212 16947318 25420977 33894636 50841954 101683908