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101006676 = 2234311749
BaseRepresentation
bin1100000010100…
…11110101010100
321001001200010000
412001103311110
5201324203201
614004531300
72334354051
oct601236524
9231050100
10101006676
11520198a1
12299b0b30
1317c06a84
14d5b4028
158d02d86
hex6053d54

101006676 has 30 divisors (see below), whose sum is σ = 264052250. Its totient is φ = 33668784.

The previous prime is 101006671. The next prime is 101006701. The reversal of 101006676 is 676600101.

It can be written as a sum of positive squares in only one way, i.e., 95531076 + 5475600 = 9774^2 + 2340^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101006671) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 155551 + ... + 156198.

Almost surely, 2101006676 is an apocalyptic number.

It is an amenable number.

101006676 is an abundant number, since it is smaller than the sum of its proper divisors (163045574).

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

101006676 is a wasteful number, since it uses less digits than its factorization.

101006676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311765 (or 311754 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 101006676 is about 10050.2077590466. The cubic root of 101006676 is about 465.7112113449.

Adding to 101006676 its reverse (676600101), we get a palindrome (777606777).

The spelling of 101006676 in words is "one hundred one million, six thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 311749 623498 935247 1246996 1870494 2805741 3740988 5611482 8417223 11222964 16834446 25251669 33668892 50503338 101006676