Search a number
-
+
103333022001220 = 225111395987564407
BaseRepresentation
bin10111011111101100011000…
…000100011110100001000100
3111112212112120222020022012011
4113133230120010132201010
5102021002012113014340
61003434311315304004
730523364420536024
oct2737543004364104
9445775528208164
10103333022001220
112aa1a31a040450
12b70a76bbab004
134587353c8532b
141b734b8787a84
15be2de07890ea
hex5dfb1811e844

103333022001220 has 96 divisors (see below), whose sum is σ = 238469875338240. Its totient is φ = 37299018848640.

The previous prime is 103333022001203. The next prime is 103333022001227. The reversal of 103333022001220 is 22100220333301.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 103333022001191 and 103333022001200.

It is not an unprimeable number, because it can be changed into a prime (103333022001227) 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, 182800257 + ... + 183364663.

It is an arithmetic number, because the mean of its divisors is an integer number (2484061201440).

Almost surely, 2103333022001220 is an apocalyptic number.

103333022001220 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 103333022001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119234937669120).

103333022001220 is an abundant number, since it is smaller than the sum of its proper divisors (135136853337020).

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

103333022001220 is a wasteful number, since it uses less digits than its factorization.

103333022001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570553 (or 570551 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 103333022001220 its reverse (22100220333301), we get a palindrome (125433242334521).

The spelling of 103333022001220 in words is "one hundred three trillion, three hundred thirty-three billion, twenty-two million, one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 139 220 278 556 695 1390 1529 2780 3058 5987 6116 7645 11974 15290 23948 29935 30580 59870 65857 119740 131714 263428 329285 564407 658570 832193 1128814 1317140 1664386 2257628 2822035 3328772 4160965 5644070 6208477 8321930 9154123 11288140 12416954 16643860 18308246 24833908 31042385 36616492 45770615 62084770 78452573 91541230 124169540 156905146 183082460 313810292 392262865 784525730 862978303 1569051460 1725956606 3379104709 3451913212 4314891515 6758209418 8629783030 13516418836 16895523545 17259566060 33791047090 37170151799 67582094180 74340303598 148680607196 185850758995 371701517990 469695554551 743403035980 939391109102 1878782218204 2348477772755 4696955545510 5166651100061 9393911091020 10333302200122 20666604400244 25833255500305 51666511000610 103333022001220