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103055821 = 1122943683
BaseRepresentation
bin1100010010010…
…00000111001101
321011220210000021
412021020013031
5202340241241
614120502141
72360650201
oct611100715
9234823007
10103055821
1153199400
122a61a951
131847369b
14d988b01
1590aa0d1
hex62481cd

103055821 has 24 divisors (see below), whose sum is σ = 120083040. Its totient is φ = 88223520.

The previous prime is 103055809. The next prime is 103055833. The reversal of 103055821 is 128550301.

It is a happy number.

103055821 is nontrivially palindromic in base 6.

It is an interprime number because it is at equal distance from previous prime (103055809) and next prime (103055833).

It is not a de Polignac number, because 103055821 - 211 = 103053773 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103055891) 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 23 ways as a sum of consecutive naturals, for example, 150546 + ... + 151228.

It is an arithmetic number, because the mean of its divisors is an integer number (5003460).

Almost surely, 2103055821 is an apocalyptic number.

103055821 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

103055821 is a deficient number, since it is larger than the sum of its proper divisors (17027219).

103055821 is a wasteful number, since it uses less digits than its factorization.

103055821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

The square root of 103055821 is about 10151.6412958694. The cubic root of 103055821 is about 468.8394802572.

The spelling of 103055821 in words is "one hundred three million, fifty-five thousand, eight hundred twenty-one".

Divisors: 1 11 29 43 121 319 473 683 1247 3509 5203 7513 13717 19807 29369 82643 150887 217877 323059 851701 2396647 3553649 9368711 103055821