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100071126 = 234617723
BaseRepresentation
bin1011111011011…
…11011011010110
320222022010210000
411331233123112
5201104234001
613532512130
72323406361
oct575573326
9228263700
10100071126
115153aa11
122961b646
1317969cac
14d40d0d8
158bbaa86
hex5f6f6d6

100071126 has 20 divisors (see below), whose sum is σ = 224233812. Its totient is φ = 33356988.

The previous prime is 100071121. The next prime is 100071151. The reversal of 100071126 is 621170001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100071099 and 100071108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100071121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 308700 + ... + 309023.

Almost surely, 2100071126 is an apocalyptic number.

100071126 is an abundant number, since it is smaller than the sum of its proper divisors (124162686).

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

100071126 is an equidigital number, since it uses as much as digits as its factorization.

100071126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617737 (or 617728 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 100071126 is about 10003.5556678613. Note that the first 3 decimals coincide. The cubic root of 100071126 is about 464.2689031636.

The spelling of 100071126 in words is "one hundred million, seventy-one thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 54 81 162 617723 1235446 1853169 3706338 5559507 11119014 16678521 33357042 50035563 100071126