Search a number
-
+
103303303220 = 225133128345289
BaseRepresentation
bin110000000110101011…
…0110101000000110100
3100212122101101112101102
41200031112311000310
53143031121200340
6115242404145232
710314644406065
oct1401526650064
9325571345342
10103303303220
113a8a1026767
1218030098218
139983caa430
144ddda5a56c
152a49241215
hex180d5b5034

103303303220 has 96 divisors (see below), whose sum is σ = 242018165760. Its totient is φ = 36781102080.

The previous prime is 103303303219. The next prime is 103303303223. The reversal of 103303303220 is 22303303301.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 103303303192 and 103303303201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103303303223) 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, 2258336 + ... + 2303624.

It is an arithmetic number, because the mean of its divisors is an integer number (2521022560).

Almost surely, 2103303303220 is an apocalyptic number.

103303303220 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 103303303220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121009082880).

103303303220 is an abundant number, since it is smaller than the sum of its proper divisors (138714862540).

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

103303303220 is a wasteful number, since it uses less digits than its factorization.

103303303220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45625 (or 45623 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 20.

Adding to 103303303220 its reverse (22303303301), we get a palindrome (125606606521).

The spelling of 103303303220 in words is "one hundred three billion, three hundred three million, three hundred three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 31 52 62 65 124 130 155 260 283 310 403 566 620 806 1132 1415 1612 2015 2830 3679 4030 5660 7358 8060 8773 14716 17546 18395 35092 36790 43865 45289 73580 87730 90578 114049 175460 181156 226445 228098 452890 456196 570245 588757 905780 1140490 1177514 1403959 2280980 2355028 2807918 2943785 5615836 5887570 7019795 11775140 12816787 14039590 18251467 25633574 28079180 36502934 51267148 64083935 73005868 91257335 128167870 166618231 182514670 256335740 333236462 365029340 397320397 666472924 794640794 833091155 1589281588 1666182310 1986601985 3332364620 3973203970 5165165161 7946407940 10330330322 20660660644 25825825805 51651651610 103303303220