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1302534220 = 2251317614831
BaseRepresentation
bin100110110100011…
…0001100001001100
310100202221121001011
41031220301201030
510131422043340
6333125455004
744164233601
oct11550614114
93322847034
101302534220
11609279269
12304271464
13179b14610
14c4dc06a8
15795410ea
hex4da3184c

1302534220 has 96 divisors (see below), whose sum is σ = 3170797056. Its totient is φ = 445132800.

The previous prime is 1302534197. The next prime is 1302534221. The reversal of 1302534220 is 224352031.

It is a junction number, because it is equal to n+sod(n) for n = 1302534191 and 1302534200.

It is not an unprimeable number, because it can be changed into a prime (1302534221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 267205 + ... + 272035.

It is an arithmetic number, because the mean of its divisors is an integer number (33029136).

Almost surely, 21302534220 is an apocalyptic number.

1302534220 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 1302534220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1585398528).

1302534220 is an abundant number, since it is smaller than the sum of its proper divisors (1868262836).

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

1302534220 is a wasteful number, since it uses less digits than its factorization.

1302534220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4931 (or 4929 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 1302534220 is about 36090.6389525040. The cubic root of 1302534220 is about 1092.1016098252.

Adding to 1302534220 its reverse (224352031), we get a palindrome (1526886251).

The spelling of 1302534220 in words is "one billion, three hundred two million, five hundred thirty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 61 65 68 85 122 130 170 221 244 260 305 340 442 610 793 884 1037 1105 1220 1586 2074 2210 3172 3965 4148 4420 4831 5185 7930 9662 10370 13481 15860 19324 20740 24155 26962 48310 53924 62803 67405 82127 96620 125606 134810 164254 251212 269620 294691 314015 328508 410635 589382 628030 821270 1067651 1178764 1256060 1473455 1642540 2135302 2946910 3830983 4270604 5009747 5338255 5893820 7661966 10019494 10676510 15323932 19154915 20038988 21353020 25048735 38309830 50097470 65126711 76619660 100194940 130253422 260506844 325633555 651267110 1302534220