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1030303220 = 225436717881
BaseRepresentation
bin111101011010010…
…010110111110100
32122210200211022112
4331122102313310
54102224200340
6250122550152
734350301322
oct7532226764
92583624275
101030303220
11489641071
12249068358
131355ba19b
149ab98d12
15606ba065
hex3d692df4

1030303220 has 48 divisors (see below), whose sum is σ = 2247123648. Its totient is φ = 396506880.

The previous prime is 1030303189. The next prime is 1030303229. The reversal of 1030303220 is 223030301.

It is a junction number, because it is equal to n+sod(n) for n = 1030303195 and 1030303204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1030303229) 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, 48680 + ... + 66560.

It is an arithmetic number, because the mean of its divisors is an integer number (46815076).

Almost surely, 21030303220 is an apocalyptic number.

1030303220 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 1030303220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1123561824).

1030303220 is an abundant number, since it is smaller than the sum of its proper divisors (1216820428).

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

1030303220 is a wasteful number, since it uses less digits than its factorization.

1030303220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18000 (or 17998 counting only the distinct ones).

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

The square root of 1030303220 is about 32098.3367170326. The cubic root of 1030303220 is about 1010.0007254186. Note that the first 3 decimals are identical.

Adding to 1030303220 its reverse (223030301), we get a palindrome (1253333521).

The spelling of 1030303220 in words is "one billion, thirty million, three hundred three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 43 67 86 134 172 215 268 335 430 670 860 1340 2881 5762 11524 14405 17881 28810 35762 57620 71524 89405 178810 357620 768883 1198027 1537766 2396054 3075532 3844415 4792108 5990135 7688830 11980270 15377660 23960540 51515161 103030322 206060644 257575805 515151610 1030303220