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1012331331330 = 2351123659202393
BaseRepresentation
bin11101011101100111010…
…01100011111100000010
310120210000002222221222020
432232303221203330002
5113041223310100310
62053020353422310
7133065341224224
oct16566351437402
93523002887866
101012331331330
11360366710710
1214424386a996
1374601c7b0b7
1436dd6072414
151b4ee134170
hexebb3a63f02

1012331331330 has 128 divisors (see below), whose sum is σ = 2769915709440. Its totient is φ = 234386127360.

The previous prime is 1012331331329. The next prime is 1012331331379. The reversal of 1012331331330 is 331331332101.

It is a self number, because there is not a number n which added to its sum of digits gives 1012331331330.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4900614 + ... + 5103006.

It is an arithmetic number, because the mean of its divisors is an integer number (21639966480).

Almost surely, 21012331331330 is an apocalyptic number.

1012331331330 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 1012331331330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1384957854720).

1012331331330 is an abundant number, since it is smaller than the sum of its proper divisors (1757584378110).

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

1012331331330 is a wasteful number, since it uses less digits than its factorization.

1012331331330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203096.

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 1012331331330 its reverse (331331332101), we get a palindrome (1343662663431).

The spelling of 1012331331330 in words is "one trillion, twelve billion, three hundred thirty-one million, three hundred thirty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 23 30 33 46 55 66 69 110 115 138 165 230 253 330 345 506 659 690 759 1265 1318 1518 1977 2530 3295 3795 3954 6590 7249 7590 9885 14498 15157 19770 21747 30314 36245 43494 45471 72490 75785 90942 108735 151570 166727 202393 217470 227355 333454 404786 454710 500181 607179 833635 1000362 1011965 1214358 1667270 2023930 2226323 2500905 3035895 4452646 4655039 5001810 6071790 6678969 9310078 11131615 13357938 13965117 22263230 23275195 27930234 33394845 46550390 51205429 66789690 69825585 102410858 133376987 139651170 153616287 256027145 266753974 307232574 400130961 512054290 666884935 768081435 800261922 1333769870 1467146857 1536162870 2000654805 2934293714 3067670701 4001309610 4401440571 6135341402 7335734285 8802881142 9203012103 14671468570 15338353505 18406024206 22007202855 30676707010 33744377711 44014405710 46015060515 67488755422 92030121030 101233133133 168721888555 202466266266 337443777110 506165665665 1012331331330