Search a number
-
+
100114066 = 21331223557
BaseRepresentation
bin1011111011110…
…01111010010010
320222101022200101
411331321322102
5201112122231
613533443014
72323645513
oct575717222
9228338611
10100114066
115156a1a8
122964046a
13179836c0
14d420a0a
158bc8661
hex5f79e92

100114066 has 32 divisors (see below), whose sum is σ = 167989248. Its totient is φ = 44435520.

The previous prime is 100113997. The next prime is 100114067. The reversal of 100114066 is 660411001.

It is a happy number.

It is a super-2 number, since 2×1001140662 = 20045652422104712, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100114067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 179460 + ... + 180016.

It is an arithmetic number, because the mean of its divisors is an integer number (5249664).

Almost surely, 2100114066 is an apocalyptic number.

100114066 is a deficient number, since it is larger than the sum of its proper divisors (67875182).

100114066 is a wasteful number, since it uses less digits than its factorization.

100114066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826.

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 100114066 is about 10005.7016745454. The cubic root of 100114066 is about 464.3352987922.

Adding to 100114066 its reverse (660411001), we get a palindrome (760525067).

The spelling of 100114066 in words is "one hundred million, one hundred fourteen thousand, sixty-six".

Divisors: 1 2 13 26 31 62 223 403 446 557 806 1114 2899 5798 6913 7241 13826 14482 17267 34534 89869 124211 179738 224471 248422 448942 1614743 3229486 3850541 7701082 50057033 100114066