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1014242301330 = 235377198111567
BaseRepresentation
bin11101100001001011000…
…11010101010110010010
310120221221021211021222220
432300211203111112102
5113104132012120310
62053534140241510
7133163604213306
oct16604543252622
93527837737886
101014242301330
11361157379765
12144697840296
1374847b52b8b
1437137b93d06
151b5b1cac670
hexec258d5592

1014242301330 has 128 divisors (see below), whose sum is σ = 2508133662720. Its totient is φ = 262297232640.

The previous prime is 1014242301287. The next prime is 1014242301377. The reversal of 1014242301330 is 331032424101.

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 1014242301330.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 647250207 + ... + 647251773.

It is an arithmetic number, because the mean of its divisors is an integer number (19594794240).

Almost surely, 21014242301330 is an apocalyptic number.

1014242301330 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 1014242301330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254066831360).

1014242301330 is an abundant number, since it is smaller than the sum of its proper divisors (1493891361390).

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

1014242301330 is a wasteful number, since it uses less digits than its factorization.

1014242301330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3144.

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

Adding to 1014242301330 its reverse (331032424101), we get a palindrome (1345274725431).

The spelling of 1014242301330 in words is "one trillion, fourteen billion, two hundred forty-two million, three hundred one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 370 555 719 811 1110 1438 1567 1622 2157 2433 3134 3595 4055 4314 4701 4866 7190 7835 8110 9402 10785 12165 15670 21570 23505 24330 26603 30007 47010 53206 57979 60014 79809 90021 115958 133015 150035 159618 173937 180042 266030 289895 300070 347874 399045 450105 579790 583109 798090 869685 900210 1126673 1166218 1270837 1739370 1749327 2253346 2541674 2915545 3380019 3498654 3812511 5633365 5831090 6354185 6760038 7625022 8746635 11266730 12708370 16900095 17493270 19062555 21575033 33800190 38125110 41686901 43150066 47020969 64725099 83373802 94041938 107875165 125060703 129450198 141062907 208434505 215750330 235104845 250121406 282125814 323625495 416869010 470209690 625303515 647250990 705314535 913731803 1250607030 1410629070 1827463606 2741195409 4568659015 5482390818 9137318030 13705977045 27411954090 33808076711 67616153422 101424230133 169040383555 202848460266 338080767110 507121150665 1014242301330