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103320030 = 23511674673
BaseRepresentation
bin1100010100010…
…00100111011110
321012102012102210
412022020213132
5202422220110
614130301250
72363130402
oct612104736
9235365383
10103320030
1153359960
122a727826
1318536a18
14da17102
15910d520
hex62889de

103320030 has 64 divisors (see below), whose sum is σ = 274606848. Its totient is φ = 24668160.

The previous prime is 103320001. The next prime is 103320037. The reversal of 103320030 is 30023301.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 103319988 and 103320015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103320037) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 19774 + ... + 24446.

It is an arithmetic number, because the mean of its divisors is an integer number (4290732).

Almost surely, 2103320030 is an apocalyptic number.

103320030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103320030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137303424).

103320030 is an abundant number, since it is smaller than the sum of its proper divisors (171286818).

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

103320030 is a wasteful number, since it uses less digits than its factorization.

103320030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4761.

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 103320030 is about 10164.6460833617. The cubic root of 103320030 is about 469.2398002038.

Adding to 103320030 its reverse (30023301), we get a palindrome (133343331).

The spelling of 103320030 in words is "one hundred three million, three hundred twenty thousand, thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 67 110 134 165 201 330 335 402 670 737 1005 1474 2010 2211 3685 4422 4673 7370 9346 11055 14019 22110 23365 28038 46730 51403 70095 102806 140190 154209 257015 308418 313091 514030 626182 771045 939273 1542090 1565455 1878546 3130910 3444001 4696365 6888002 9392730 10332003 17220005 20664006 34440010 51660015 103320030