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103123420 = 2252926131
BaseRepresentation
bin1100010010110…
…00100111011100
321012001012201221
412021120213130
5202344422140
614122143124
72361351241
oct611304734
9235035657
10103123420
1153235174
122a651aa4
131849839a
14d9a55c8
1590c014a
hex62589dc

103123420 has 36 divisors (see below), whose sum is σ = 224320824. Its totient is φ = 39820480.

The previous prime is 103123399. The next prime is 103123549. The reversal of 103123420 is 24321301.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 103123394 and 103123403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13755 + ... + 19885.

It is an arithmetic number, because the mean of its divisors is an integer number (6231134).

Almost surely, 2103123420 is an apocalyptic number.

103123420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103123420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112160412).

103123420 is an abundant number, since it is smaller than the sum of its proper divisors (121197404).

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

103123420 is a wasteful number, since it uses less digits than its factorization.

103123420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6198 (or 6167 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 103123420 is about 10154.9702116747. The cubic root of 103123420 is about 468.9419688975.

Adding to 103123420 its reverse (24321301), we get a palindrome (127444721).

The spelling of 103123420 in words is "one hundred three million, one hundred twenty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 841 1682 3364 4205 6131 8410 12262 16820 24524 30655 61310 122620 177799 355598 711196 888995 1777990 3555980 5156171 10312342 20624684 25780855 51561710 103123420