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101000208 = 2432418731
BaseRepresentation
bin1100000010100…
…10010000010000
321001001100020110
412001102100100
5201324001313
614004441320
72334326151
oct601222020
9231040213
10101000208
1152014a51
12299a9240
1317c03b4a
14d5b1928
158d00ec3
hex6052410

101000208 has 40 divisors (see below), whose sum is σ = 262029856. Its totient is φ = 33523200.

The previous prime is 101000203. The next prime is 101000231. The reversal of 101000208 is 802000101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 101000193 and 101000202.

It is not an unprimeable number, because it can be changed into a prime (101000203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7203 + ... + 15933.

Almost surely, 2101000208 is an apocalyptic number.

It is an amenable number.

101000208 is an abundant number, since it is smaller than the sum of its proper divisors (161029648).

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

101000208 is a wasteful number, since it uses less digits than its factorization.

101000208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8983 (or 8977 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 101000208 is about 10049.8859695023. The cubic root of 101000208 is about 465.7012704693.

Adding to 101000208 its reverse (802000101), we get a palindrome (903000309).

The spelling of 101000208 in words is "one hundred one million, two hundred eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 24 48 241 482 723 964 1446 1928 2892 3856 5784 8731 11568 17462 26193 34924 52386 69848 104772 139696 209544 419088 2104171 4208342 6312513 8416684 12625026 16833368 25250052 33666736 50500104 101000208