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100760101 = 1319933889
BaseRepresentation
bin1100000000101…
…11101000100101
321000121010212121
412000113220211
5201243310401
613555345541
72332306141
oct600275045
9230533777
10100760101
1151970612
12298b22b1
1317b4b780
14d54c221
158ca4ca1
hex6017a25

100760101 has 8 divisors (see below), whose sum is σ = 108593240. Its totient is φ = 92938752.

The previous prime is 100760087. The next prime is 100760111. The reversal of 100760101 is 101067001.

It can be written as a sum of positive squares in 4 ways, for example, as 17859076 + 82901025 = 4226^2 + 9105^2 .

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 100760101 - 25 = 100760069 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100760111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23965 + ... + 27853.

It is an arithmetic number, because the mean of its divisors is an integer number (13574155).

Almost surely, 2100760101 is an apocalyptic number.

It is an amenable number.

100760101 is a deficient number, since it is larger than the sum of its proper divisors (7833139).

100760101 is a wasteful number, since it uses less digits than its factorization.

100760101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5895.

The product of its (nonzero) digits is 42, while the sum is 16.

The square root of 100760101 is about 10037.9331039811. The cubic root of 100760101 is about 465.3319416580.

The spelling of 100760101 in words is "one hundred million, seven hundred sixty thousand, one hundred one".

Divisors: 1 13 1993 3889 25909 50557 7750777 100760101