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1021144301312 = 2831476414271
BaseRepresentation
bin11101101110000001111…
…00010111111100000000
310121121202022011020000212
432313000330113330000
5113212300420120222
62101035054133252
7133526623230242
oct16670074277400
93547668136025
101021144301312
11364079378483
12145aa31b1228
13753a7a65735
14375d06c0092
151b867bb96e2
hexedc0f17f00

1021144301312 has 144 divisors (see below), whose sum is σ = 2152674607104. Its totient is φ = 482721792000.

The previous prime is 1021144301269. The next prime is 1021144301321. The reversal of 1021144301312 is 2131034411201.

1021144301312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 239085737 + ... + 239090007.

It is an arithmetic number, because the mean of its divisors is an integer number (14949129216).

Almost surely, 21021144301312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1021144301312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1076337303552).

1021144301312 is an abundant number, since it is smaller than the sum of its proper divisors (1131530305792).

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

1021144301312 is an equidigital number, since it uses as much as digits as its factorization.

1021144301312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5006 (or 4992 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 1021144301312 its reverse (2131034411201), we get a palindrome (3152178712513).

The spelling of 1021144301312 in words is "one trillion, twenty-one billion, one hundred forty-four million, three hundred one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 31 32 47 62 64 94 124 128 188 248 256 376 496 641 752 992 1282 1457 1504 1984 2564 2914 3008 3968 4271 5128 5828 6016 7936 8542 10256 11656 12032 17084 19871 20512 23312 30127 34168 39742 41024 46624 60254 68336 79484 82048 93248 120508 132401 136672 158968 164096 186496 200737 241016 264802 273344 317936 372992 401474 482032 529604 546688 635872 802948 933937 964064 1059208 1093376 1271744 1605896 1867874 1928128 2118416 2543488 2737711 3211792 3735748 3856256 4236832 5086976 5475422 6222847 6423584 7471496 7712512 8473664 10950844 12445694 12847168 14942992 16947328 21901688 24891388 25694336 29885984 33894656 43803376 49782776 51388672 59771968 84869041 87606752 99565552 119543936 128672417 169738082 175213504 199131104 239087872 257344834 339476164 350427008 398262208 514689668 678952328 700854016 796524416 1029379336 1357904656 1593048832 2058758672 2715809312 3988844927 4117517344 5431618624 7977689854 8235034688 10863237248 15955379708 16470069376 21726474496 31910759416 32940138752 63821518832 127643037664 255286075328 510572150656 1021144301312