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100995081 = 31129105533
BaseRepresentation
bin1100000010100…
…01000000001001
321001001002012120
412001101000021
5201323320311
614004401453
72334305205
oct601210011
9231032176
10100995081
1152011110
12299a6289
1317c01705
14d5adb05
158cee706
hex6051009

100995081 has 16 divisors (see below), whose sum is σ = 151968960. Its totient is φ = 59097920.

The previous prime is 100995071. The next prime is 100995107. The reversal of 100995081 is 180599001.

It is a cyclic number.

It is not a de Polignac number, because 100995081 - 26 = 100995017 is a prime.

It is a super-2 number, since 2×1009950812 = 20400012772393122, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (100995071) 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 15 ways as a sum of consecutive naturals, for example, 51810 + ... + 53723.

It is an arithmetic number, because the mean of its divisors is an integer number (9498060).

Almost surely, 2100995081 is an apocalyptic number.

100995081 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100995081 is a deficient number, since it is larger than the sum of its proper divisors (50973879).

100995081 is a wasteful number, since it uses less digits than its factorization.

100995081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105576.

The product of its (nonzero) digits is 3240, while the sum is 33.

The square root of 100995081 is about 10049.6308887441. The cubic root of 100995081 is about 465.6933903178.

The spelling of 100995081 in words is "one hundred million, nine hundred ninety-five thousand, eighty-one".

Divisors: 1 3 11 29 33 87 319 957 105533 316599 1160863 3060457 3482589 9181371 33665027 100995081