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1021104020320 = 2558985983477
BaseRepresentation
bin11101101101111101000…
…10101101101101100000
310121121122111100201220021
432312332202231231200
5113212210112122240
62101031054523224
7133525623652036
oct16667642555540
93547574321807
101021104020320
113640586657aa
12145a91806514
137539c601027
14375c91d6556
151b8643ae54a
hexedbe8adb60

1021104020320 has 96 divisors (see below), whose sum is σ = 2442332541600. Its totient is φ = 403377401856.

The previous prime is 1021104020281. The next prime is 1021104020327. The reversal of 1021104020320 is 230204011201.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1021104020294 and 1021104020303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021104020327) by changing a digit.

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, 12190422 + ... + 12273898.

It is an arithmetic number, because the mean of its divisors is an integer number (25440963975).

Almost surely, 21021104020320 is an apocalyptic number.

1021104020320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1021104020320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1221166270800).

1021104020320 is an abundant number, since it is smaller than the sum of its proper divisors (1421228521280).

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

1021104020320 is an equidigital number, since it uses as much as digits as its factorization.

1021104020320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84440 (or 84432 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 1021104020320 its reverse (230204011201), we get a palindrome (1251308031521).

The spelling of 1021104020320 in words is "one trillion, twenty-one billion, one hundred four million, twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 89 160 178 356 445 712 859 890 1424 1718 1780 2848 3436 3560 4295 6872 7120 8590 13744 14240 17180 27488 34360 68720 76451 83477 137440 152902 166954 305804 333908 382255 417385 611608 667816 764510 834770 1223216 1335632 1529020 1669540 2446432 2671264 3058040 3339080 6116080 6678160 7429453 12232160 13356320 14858906 29717812 37147265 59435624 71706743 74294530 118871248 143413486 148589060 237742496 286826972 297178120 358533715 573653944 594356240 717067430 1147307888 1188712480 1434134860 2294615776 2868269720 5736539440 6381900127 11473078880 12763800254 25527600508 31909500635 51055201016 63819001270 102110402032 127638002540 204220804064 255276005080 510552010160 1021104020320