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1023311311232 = 2776591733063
BaseRepresentation
bin11101110010000100001…
…10110111000110000000
310121211100022202201210112
432321002012313012000
5113231220143424412
62102034104450452
7133634415425360
oct16710206670600
93554308681715
101023311311232
11364a90615071
121463a8a79a28
13756619b6122
14377584109a0
151b94306b722
hexee421b7180

1023311311232 has 64 divisors (see below), whose sum is σ = 2333397369600. Its totient is φ = 437896241664.

The previous prime is 1023311311219. The next prime is 1023311311291. The reversal of 1023311311232 is 2321131133201.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 1023311311198 and 1023311311207.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 276068 + ... + 1456995.

It is an arithmetic number, because the mean of its divisors is an integer number (36459333900).

Almost surely, 21023311311232 is an apocalyptic number.

It is an amenable number.

1023311311232 is an abundant number, since it is smaller than the sum of its proper divisors (1310086058368).

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

1023311311232 is an equidigital number, since it uses as much as digits as its factorization.

1023311311232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1733743 (or 1733731 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 1023311311232 its reverse (2321131133201), we get a palindrome (3344442444433).

The spelling of 1023311311232 in words is "one trillion, twenty-three billion, three hundred eleven million, three hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 659 896 1318 2636 4613 5272 9226 10544 18452 21088 36904 42176 73808 84352 147616 295232 590464 1733063 3466126 6932252 12131441 13864504 24262882 27729008 48525764 55458016 97051528 110916032 194103056 221832064 388206112 776412224 1142088517 1552824448 2284177034 4568354068 7994619619 9136708136 15989239238 18273416272 31978478476 36546832544 63956956952 73093665088 127913913904 146187330176 255827827808 511655655616 1023311311232