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1022031131232 = 25354733235857
BaseRepresentation
bin11101101111101011100…
…11010111001001100000
310121201001002212211222110
432313311303113021200
5113221104432144412
62101303054035320
7133560612164226
oct16676563271140
93551032784873
101022031131232
11364493a24971
121460b01a8b40
13754b96ca677
14376763acb16
151b8ba993d3c
hexedf5cd7260

1022031131232 has 96 divisors (see below), whose sum is σ = 2689004207232. Its totient is φ = 339893858304.

The previous prime is 1022031131227. The next prime is 1022031131257. The reversal of 1022031131232 is 2321311302201.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×10220311312323 (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1022031131199 and 1022031131208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174494448 + ... + 174500304.

It is an arithmetic number, because the mean of its divisors is an integer number (28010460492).

Almost surely, 21022031131232 is an apocalyptic number.

1022031131232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1022031131232 is an abundant number, since it is smaller than the sum of its proper divisors (1666973076000).

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

1022031131232 is a wasteful number, since it uses less digits than its factorization.

1022031131232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9740 (or 9732 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 1022031131232 its reverse (2321311302201), we get a palindrome (3343342433433).

The spelling of 1022031131232 in words is "one trillion, twenty-two billion, thirty-one million, one hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 547 1094 1641 2188 3282 3323 4376 5857 6564 6646 8752 9969 11714 13128 13292 17504 17571 19938 23428 26256 26584 35142 39876 46856 52512 53168 70284 79752 93712 106336 140568 159504 187424 281136 319008 562272 1817681 3203779 3635362 5453043 6407558 7270724 9611337 10906086 12815116 14541448 19222674 19462811 21812172 25630232 29082896 38445348 38925622 43624344 51260464 58165792 58388433 76890696 77851244 87248688 102520928 116776866 153781392 155702488 174497376 233553732 307562784 311404976 467107464 622809952 934214928 1868429856 10646157617 21292315234 31938472851 42584630468 63876945702 85169260936 127753891404 170338521872 255507782808 340677043744 511015565616 1022031131232