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1325325201024 = 273111072932343
BaseRepresentation
bin10011010010010011100…
…010011010111010000000
311200200220012011221222110
4103102103202122322000
5133203231222413044
62452502422335320
7164515536222606
oct23222342327200
94620805157873
101325325201024
114710815855a0
12194a3488a540
1397c92b132a6
1448208bc5876
152471c4336b9
hex1349389ae80

1325325201024 has 128 divisors (see below), whose sum is σ = 3876324180480. Its totient is φ = 397860162560.

The previous prime is 1325325200987. The next prime is 1325325201089. The reversal of 1325325201024 is 4201025235231.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 1325325200982 and 1325325201000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1014204 + ... + 1918139.

It is an arithmetic number, because the mean of its divisors is an integer number (30283782660).

Almost surely, 21325325201024 is an apocalyptic number.

It is an amenable number.

1325325201024 is an abundant number, since it is smaller than the sum of its proper divisors (2550998979456).

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

1325325201024 is a wasteful number, since it uses less digits than its factorization.

1325325201024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2932478 (or 2932466 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 1325325201024 in words is "one trillion, three hundred twenty-five billion, three hundred twenty-five million, two hundred one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 107 128 132 176 192 214 264 321 352 384 428 528 642 704 856 1056 1177 1284 1408 1712 2112 2354 2568 3424 3531 4224 4708 5136 6848 7062 9416 10272 13696 14124 18832 20544 28248 37664 41088 56496 75328 112992 150656 225984 451968 2932343 5864686 8797029 11729372 17594058 23458744 32255773 35188116 46917488 64511546 70376232 93834976 96767319 129023092 140752464 187669952 193534638 258046184 281504928 313760701 375339904 387069276 516092368 563009856 627521402 774138552 941282103 1032184736 1126019712 1255042804 1548277104 1882564206 2064369472 2510085608 3096554208 3451367711 3765128412 4128738944 5020171216 6193108416 6902735422 7530256824 10040342432 10354103133 12386216832 13805470844 15060513648 20080684864 20708206266 27610941688 30121027296 40161369728 41416412532 55221883376 60242054592 82832825064 110443766752 120484109184 165665650128 220887533504 331331300256 441775067008 662662600512 1325325201024