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103122340 = 225172313187
BaseRepresentation
bin1100010010110…
…00010110100100
321012001011020221
412021120112210
5202344403330
614122134124
72361345136
oct611302644
9235034227
10103122340
1153234382
122a651344
1318497a49
14d9a5056
1590beb7a
hex62585a4

103122340 has 48 divisors (see below), whose sum is σ = 239283072. Its totient is φ = 37131776.

The previous prime is 103122311. The next prime is 103122361. The reversal of 103122340 is 43221301.

103122340 = T1515 + T1516 + ... + T1599.

It is a happy 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 15 ways as a sum of consecutive naturals, for example, 1227 + ... + 14413.

It is an arithmetic number, because the mean of its divisors is an integer number (4985064).

Almost surely, 2103122340 is an apocalyptic number.

103122340 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 103122340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119641536).

103122340 is an abundant number, since it is smaller than the sum of its proper divisors (136160732).

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

103122340 is a wasteful number, since it uses less digits than its factorization.

103122340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13236 (or 13234 counting only the distinct ones).

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

The square root of 103122340 is about 10154.9170356040. The cubic root of 103122340 is about 468.9403318329.

Adding to 103122340 its reverse (43221301), we get a palindrome (146343641).

The spelling of 103122340 in words is "one hundred three million, one hundred twenty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 23 34 46 68 85 92 115 170 230 340 391 460 782 1564 1955 3910 7820 13187 26374 52748 65935 131870 224179 263740 303301 448358 606602 896716 1120895 1213204 1516505 2241790 3033010 4483580 5156117 6066020 10312234 20624468 25780585 51561170 103122340