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103742310 = 2357270573
BaseRepresentation
bin1100010111011…
…11101101100110
321020012122200210
412023233231212
5203024223220
614143320250
72366536500
oct613575546
9236178623
10103742310
1153618151
122a8b0086
1318653ca9
14dac6d70
1591936e0
hex62efb66

103742310 has 48 divisors (see below), whose sum is σ = 289635696. Its totient is φ = 23712192.

The previous prime is 103742297. The next prime is 103742311. The reversal of 103742310 is 13247301.

It is a super-2 number, since 2×1037423102 = 21524933768272200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103742311) 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 23 ways as a sum of consecutive naturals, for example, 33817 + ... + 36756.

It is an arithmetic number, because the mean of its divisors is an integer number (6034077).

Almost surely, 2103742310 is an apocalyptic number.

103742310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

103742310 is an abundant number, since it is smaller than the sum of its proper divisors (185893386).

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

103742310 is a wasteful number, since it uses less digits than its factorization.

103742310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70597 (or 70590 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 103742310 is about 10185.3968994831. The cubic root of 103742310 is about 469.8782089742.

Adding to 103742310 its reverse (13247301), we get a palindrome (116989611).

The spelling of 103742310 in words is "one hundred three million, seven hundred forty-two thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 490 735 1470 70573 141146 211719 352865 423438 494011 705730 988022 1058595 1482033 2117190 2470055 2964066 3458077 4940110 6916154 7410165 10374231 14820330 17290385 20748462 34580770 51871155 103742310