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101343774 = 23731277281
BaseRepresentation
bin1100000101001…
…10001000011110
321001200210112010
412002212020132
5201421000044
614020052050
72340256620
oct602461036
9231623463
10101343774
115222a094
1229b34026
1317cc433c
14d660c10
158d6cbb9
hex60a621e

101343774 has 64 divisors (see below), whose sum is σ = 240832512. Its totient is φ = 27820800.

The previous prime is 101343763. The next prime is 101343793. The reversal of 101343774 is 477343101.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 360514 + ... + 360794.

It is an arithmetic number, because the mean of its divisors is an integer number (3763008).

Almost surely, 2101343774 is an apocalyptic number.

101343774 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101343774, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120416256).

101343774 is an abundant number, since it is smaller than the sum of its proper divisors (139488738).

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

101343774 is a wasteful number, since it uses less digits than its factorization.

101343774 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601.

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 101343774 is about 10066.9644878682. The cubic root of 101343774 is about 466.2287216772.

Adding to 101343774 its reverse (477343101), we get a palindrome (578686875).

The spelling of 101343774 in words is "one hundred one million, three hundred forty-three thousand, seven hundred seventy-four".

Divisors: 1 2 3 6 7 14 21 31 42 62 93 186 217 277 281 434 554 562 651 831 843 1302 1662 1686 1939 1967 3878 3934 5817 5901 8587 8711 11634 11802 17174 17422 25761 26133 51522 52266 60109 60977 77837 120218 121954 155674 180327 182931 233511 360654 365862 467022 544859 1089718 1634577 2412947 3269154 4825894 7238841 14477682 16890629 33781258 50671887 101343774