Search a number
-
+
101011995 = 3357139769
BaseRepresentation
bin1100000010101…
…01001000011011
321001001221102000
412001111020123
5201324340440
614005012043
72334405420
oct601251033
9231057360
10101011995
1152022897
12299b4023
1317c09316
14d5b5d47
158d04730
hex605521b

101011995 has 64 divisors (see below), whose sum is σ = 206976000. Its totient is φ = 45785088.

The previous prime is 101011991. The next prime is 101012029. The reversal of 101011995 is 599110101.

It is not a de Polignac number, because 101011995 - 22 = 101011991 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (101011991) 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 63 ways as a sum of consecutive naturals, for example, 130971 + ... + 131739.

It is an arithmetic number, because the mean of its divisors is an integer number (3234000).

Almost surely, 2101011995 is an apocalyptic number.

101011995 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

101011995 is an abundant number, since it is smaller than the sum of its proper divisors (105964005).

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

101011995 is a wasteful number, since it uses less digits than its factorization.

101011995 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 405, while the sum is 27.

The square root of 101011995 is about 10050.4723769582. The cubic root of 101011995 is about 465.7193859678.

The spelling of 101011995 in words is "one hundred one million, eleven thousand, nine hundred ninety-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 139 189 315 417 695 769 945 973 1251 2085 2307 2919 3753 3845 4865 5383 6255 6921 8757 11535 14595 16149 18765 20763 26271 26915 34605 43785 48447 80745 103815 106891 131355 145341 242235 320673 534455 726705 748237 962019 1603365 2244711 2886057 3741185 4810095 6734133 11223555 14430285 20202399 33670665 101011995