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103330220 = 22572971087
BaseRepresentation
bin1100010100010…
…11000110101100
321012102201102012
412022023012230
5202423031340
614130420352
72363202200
oct612130654
9235381365
10103330220
1153366584
122a7316b8
131853b556
14da1ab00
159111565
hex628b1ac

103330220 has 72 divisors (see below), whose sum is σ = 255257856. Its totient is φ = 35030016.

The previous prime is 103330207. The next prime is 103330261. The reversal of 103330220 is 22033301.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 103330195 and 103330204.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94517 + ... + 95603.

It is an arithmetic number, because the mean of its divisors is an integer number (3545248).

Almost surely, 2103330220 is an apocalyptic number.

103330220 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 103330220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127628928).

103330220 is an abundant number, since it is smaller than the sum of its proper divisors (151927636).

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

103330220 is a wasteful number, since it uses less digits than its factorization.

103330220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1207 (or 1198 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 103330220 is about 10165.1473181651. The cubic root of 103330220 is about 469.2552260490.

Adding to 103330220 its reverse (22033301), we get a palindrome (125363521).

The spelling of 103330220 in words is "one hundred three million, three hundred thirty thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 97 98 140 194 196 245 388 485 490 679 970 980 1087 1358 1940 2174 2716 3395 4348 4753 5435 6790 7609 9506 10870 13580 15218 19012 21740 23765 30436 38045 47530 53263 76090 95060 105439 106526 152180 210878 213052 266315 421756 527195 532630 738073 1054390 1065260 1476146 2108780 2952292 3690365 5166511 7380730 10333022 14761460 20666044 25832555 51665110 103330220