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103101320 = 235759792
BaseRepresentation
bin1100010010100…
…11001110001000
321012000002102102
412021103032020
5202343220240
614121452532
72361226640
oct611231610
9235002372
10103101320
115321a603
122a641148
131848b2ca
14d99b520
1590b8815
hex6253388

103101320 has 96 divisors (see below), whose sum is σ = 273067200. Its totient is φ = 34310016.

The previous prime is 103101307. The next prime is 103101343. The reversal of 103101320 is 23101301.

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 23 ways as a sum of consecutive naturals, for example, 1305041 + ... + 1305119.

It is an arithmetic number, because the mean of its divisors is an integer number (2844450).

Almost surely, 2103101320 is an apocalyptic number.

103101320 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 103101320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136533600).

103101320 is an abundant number, since it is smaller than the sum of its proper divisors (169965880).

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

103101320 is an equidigital number, since it uses as much as digits as its factorization.

103101320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 103101320 is about 10153.8820162537. The cubic root of 103101320 is about 468.9084674293.

Adding to 103101320 its reverse (23101301), we get a palindrome (126202621).

The spelling of 103101320 in words is "one hundred three million, one hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 59 70 79 118 140 158 236 280 295 316 395 413 472 553 590 632 790 826 1106 1180 1580 1652 2065 2212 2360 2765 3160 3304 4130 4424 4661 5530 6241 8260 9322 11060 12482 16520 18644 22120 23305 24964 31205 32627 37288 43687 46610 49928 62410 65254 87374 93220 124820 130508 163135 174748 186440 218435 249640 261016 326270 349496 368219 436870 652540 736438 873740 1305080 1472876 1747480 1841095 2577533 2945752 3682190 5155066 7364380 10310132 12887665 14728760 20620264 25775330 51550660 103101320