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103442020 = 225112411951
BaseRepresentation
bin1100010101001…
…10011001100100
321012122101202221
412022212121210
5202440121040
614133042124
72364146143
oct612463144
9235571687
10103442020
1153432580
122a786344
131857a3c6
14da4975a
15913474a
hex62a6664

103442020 has 48 divisors (see below), whose sum is σ = 238081536. Its totient is φ = 37440000.

The previous prime is 103442011. The next prime is 103442029. The reversal of 103442020 is 20244301.

It is an interprime number because it is at equal distance from previous prime (103442011) and next prime (103442029).

It is a junction number, because it is equal to n+sod(n) for n = 103441985 and 103442003.

It is not an unprimeable number, because it can be changed into a prime (103442029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52045 + ... + 53995.

It is an arithmetic number, because the mean of its divisors is an integer number (4960032).

Almost surely, 2103442020 is an apocalyptic number.

103442020 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 103442020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119040768).

103442020 is an abundant number, since it is smaller than the sum of its proper divisors (134639516).

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

103442020 is a wasteful number, since it uses less digits than its factorization.

103442020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2212 (or 2210 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 103442020 is about 10170.6450139605. The cubic root of 103442020 is about 469.4244047741.

Adding to 103442020 its reverse (20244301), we get a palindrome (123686321).

It can be divided in two parts, 10344 and 2020, that multiplied together give a triangular number (20894880 = T6464).

The spelling of 103442020 in words is "one hundred three million, four hundred forty-two thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 241 482 964 1205 1951 2410 2651 3902 4820 5302 7804 9755 10604 13255 19510 21461 26510 39020 42922 53020 85844 107305 214610 429220 470191 940382 1880764 2350955 4701910 5172101 9403820 10344202 20688404 25860505 51721010 103442020