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1303330462140 = 223572631702551
BaseRepresentation
bin10010111101110100100…
…011001001100110111100
311121121010100012110101210
4102331310203021212330
5132323210044242030
62434424115004420
7163106513065500
oct22756443114674
94547110173353
101303330462140
11462815082743
12190716899710
1395b990b3bb5
144711da14300
1523d814e3bb0
hex12f748c99bc

1303330462140 has 144 divisors (see below), whose sum is σ = 4251867185664. Its totient is φ = 297431568000.

The previous prime is 1303330462117. The next prime is 1303330462151. The reversal of 1303330462140 is 412640333031.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1303330462098 and 1303330462107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1503865 + ... + 2206415.

It is an arithmetic number, because the mean of its divisors is an integer number (29526855456).

Almost surely, 21303330462140 is an apocalyptic number.

1303330462140 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 1303330462140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2125933592832).

1303330462140 is an abundant number, since it is smaller than the sum of its proper divisors (2948536723524).

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

1303330462140 is a wasteful number, since it uses less digits than its factorization.

1303330462140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703208 (or 703199 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 1303330462140 its reverse (412640333031), we get a palindrome (1715970795171).

The spelling of 1303330462140 in words is "one trillion, three hundred three billion, three hundred thirty million, four hundred sixty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 631 735 980 1262 1470 1893 2524 2940 3155 3786 4417 6310 7572 8834 9465 12620 13251 17668 18930 22085 26502 30919 37860 44170 53004 61838 66255 88340 92757 123676 132510 154595 185514 265020 309190 371028 463785 618380 702551 927570 1405102 1855140 2107653 2810204 3512755 4215306 4917857 7025510 8430612 9835714 10538265 14051020 14753571 19671428 21076530 24589285 29507142 34424999 42153060 49178570 59014284 68849998 73767855 98357140 103274997 137699996 147535710 172124995 206549994 295071420 344249990 413099988 443309681 516374985 688499980 886619362 1032749970 1329929043 1773238724 2065499940 2216548405 2659858086 3103167767 4433096810 5319716172 6206335534 6649645215 8866193620 9309503301 12412671068 13299290430 15515838835 18619006602 21722174369 26598580860 31031677670 37238013204 43444348738 46547516505 62063355340 65166523107 86888697476 93095033010 108610871845 130333046214 186190066020 217221743690 260666092428 325832615535 434443487380 651665231070 1303330462140