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1013030321130 = 232517877754973
BaseRepresentation
bin11101011110111010100…
…11111111101111101010
310120211210211021022201100
432233131103333233222
5113044141230234010
62053214003302230
7133121556440322
oct16573523775752
93524724238640
101013030321130
11360695230033
121443b997a976
13746b3a25729
1437060c26282
151b5406a72c0
hexebdd4ffbea

1013030321130 has 96 divisors (see below), whose sum is σ = 2791996528464. Its totient is φ = 253960501248.

The previous prime is 1013030321123. The next prime is 1013030321201. The reversal of 1013030321130 is 311230303101.

It is a happy number.

1013030321130 is a `hidden beast` number, since 10 + 1 + 303 + 0 + 321 + 1 + 30 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 804269969721 + 208760351409 = 896811^2 + 456903^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 964324 + ... + 1719296.

Almost surely, 21013030321130 is an apocalyptic number.

1013030321130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1013030321130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395998264232).

1013030321130 is an abundant number, since it is smaller than the sum of its proper divisors (1778966207334).

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

1013030321130 is a wasteful number, since it uses less digits than its factorization.

1013030321130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755880 (or 755877 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1013030321130 its reverse (311230303101), we get a palindrome (1324260624231).

The spelling of 1013030321130 in words is "one trillion, thirteen billion, thirty million, three hundred twenty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 877 1530 1754 2631 4385 5262 7893 8770 13155 14909 15786 26310 29818 39465 44727 74545 78930 89454 134181 149090 223635 268362 447270 670905 754973 1341810 1509946 2264919 3774865 4529838 6794757 7549730 11324595 12834541 13589514 22649190 25669082 33973785 38503623 64172705 67947570 77007246 115510869 128345410 192518115 231021738 385036230 577554345 662111321 1155108690 1324222642 1986333963 3310556605 3972667926 5959001889 6621113210 9931669815 11255892457 11918003778 19863339630 22511784914 29795009445 33767677371 56279462285 59590018890 67535354742 101303032113 112558924570 168838386855 202606064226 337676773710 506515160565 1013030321130