Search a number
-
+
10203003220 = 22517269281397
BaseRepresentation
bin10011000000010010…
…10111100101010100
3222100001202021012011
421200021113211110
5131343432100340
64404233434004
7510561045034
oct114011274524
928301667164
1010203003220
114366369373
121b88b6b904
13c67a86717
146cb0c78c4
153eab0c0ea
hex260257954

10203003220 has 96 divisors (see below), whose sum is σ = 22909612320. Its totient is φ = 3803627520.

The previous prime is 10203003199. The next prime is 10203003221. The reversal of 10203003220 is 2230030201.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 1564044304 + 8638958916 = 39548^2 + 92946^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10203003220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10203003221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25700062 + ... + 25700458.

It is an arithmetic number, because the mean of its divisors is an integer number (238641795).

Almost surely, 210203003220 is an apocalyptic number.

10203003220 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 10203003220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11454806160).

10203003220 is an abundant number, since it is smaller than the sum of its proper divisors (12706609100).

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

10203003220 is a wasteful number, since it uses less digits than its factorization.

10203003220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 10203003220 its reverse (2230030201), we get a palindrome (12433033421).

The spelling of 10203003220 in words is "ten billion, two hundred three million, three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 269 281 340 397 538 562 794 1076 1124 1345 1405 1588 1985 2690 2810 3970 4573 4777 5380 5620 6749 7940 9146 9554 13498 18292 19108 22865 23885 26996 33745 45730 47770 67490 75589 91460 95540 106793 111557 134980 151178 213586 223114 302356 377945 427172 446228 533965 557785 755890 1067930 1115570 1285013 1511780 1815481 1896469 2135860 2231140 2570026 3630962 3792938 5140052 6425065 7261924 7585876 9077405 9482345 12850130 18154810 18964690 25700260 30008833 36309620 37929380 60017666 120035332 150044165 300088330 510150161 600176660 1020300322 2040600644 2550750805 5101501610 10203003220