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1013321420340 = 223547463776099
BaseRepresentation
bin11101011111011101010…
…10011100111000110100
310120212120010000200202120
432233232222130320310
5113100240240422330
62053302522435540
7133132022646135
oct16575652347064
93525503020676
101013321420340
11360824585199
1214447b362bb0
137472c128098
143708b75dc8c
151b55b008c10
hexebeea9ce34

1013321420340 has 96 divisors (see below), whose sum is σ = 2903930265600. Its totient is φ = 263898155136.

The previous prime is 1013321420299. The next prime is 1013321420413. The reversal of 1013321420340 is 430241233101.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1013321420340.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 917611 + ... + 1693709.

It is an arithmetic number, because the mean of its divisors is an integer number (30249273600).

Almost surely, 21013321420340 is an apocalyptic number.

1013321420340 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 1013321420340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451965132800).

1013321420340 is an abundant number, since it is smaller than the sum of its proper divisors (1890608845260).

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

1013321420340 is a wasteful number, since it uses less digits than its factorization.

1013321420340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776621 (or 776619 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 1013321420340 its reverse (430241233101), we get a palindrome (1443562653441).

The spelling of 1013321420340 in words is "one trillion, thirteen billion, three hundred twenty-one million, four hundred twenty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 188 235 282 463 470 564 705 926 940 1389 1410 1852 2315 2778 2820 4630 5556 6945 9260 13890 21761 27780 43522 65283 87044 108805 130566 217610 261132 326415 435220 652830 776099 1305660 1552198 2328297 3104396 3880495 4656594 7760990 9313188 11641485 15521980 23282970 36476653 46565940 72953306 109429959 145906612 182383265 218859918 359333837 364766530 437719836 547149795 718667674 729533060 1078001511 1094299590 1437335348 1796669185 2156003022 2188599180 3593338370 4312006044 5390007555 7186676740 10780015110 16888690339 21560030220 33777380678 50666071017 67554761356 84443451695 101332142034 168886903390 202664284068 253330355085 337773806780 506660710170 1013321420340