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100442771 = 11132330539
BaseRepresentation
bin1011111110010…
…10001010010011
321000000000120122
411333022022103
5201203132041
613544500455
72326515032
oct577121223
9230000518
10100442771
1151774160
122977a72b
1317a6a1c0
14d4a8719
158c40c4b
hex5fca293

100442771 has 16 divisors (see below), whose sum is σ = 123137280. Its totient is φ = 80620320.

The previous prime is 100442767. The next prime is 100442779. The reversal of 100442771 is 177244001.

It is not a de Polignac number, because 100442771 - 22 = 100442767 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100442771.

It is not an unprimeable number, because it can be changed into a prime (100442779) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11981 + ... + 18558.

It is an arithmetic number, because the mean of its divisors is an integer number (7696080).

Almost surely, 2100442771 is an apocalyptic number.

100442771 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100442771 is a deficient number, since it is larger than the sum of its proper divisors (22694509).

100442771 is a wasteful number, since it uses less digits than its factorization.

100442771 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30586.

The product of its (nonzero) digits is 1568, while the sum is 26.

The square root of 100442771 is about 10022.1140983327. The cubic root of 100442771 is about 464.8429284112.

Adding to 100442771 its reverse (177244001), we get a palindrome (277686772).

The spelling of 100442771 in words is "one hundred million, four hundred forty-two thousand, seven hundred seventy-one".

Divisors: 1 11 13 23 143 253 299 3289 30539 335929 397007 702397 4367077 7726367 9131161 100442771