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1223300221024 = 25761197454453
BaseRepresentation
bin10001110011010010011…
…000000000100001100000
311022221112220011222101111
4101303102120000201200
5130020304324033044
62333550521113104
7154244343212410
oct21632230004140
94287486158344
101223300221024
114318870a1002
12179100928794
138b48392143b
14432cac46640
1521c4a54eb34
hex11cd2600860

1223300221024 has 96 divisors (see below), whose sum is σ = 2811754161216. Its totient is φ = 513058129920.

The previous prime is 1223300221001. The next prime is 1223300221081. The reversal of 1223300221024 is 4201220033221.

It is a junction number, because it is equal to n+sod(n) for n = 1223300220986 and 1223300221004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2464582 + ... + 2919034.

It is an arithmetic number, because the mean of its divisors is an integer number (29289105846).

Almost surely, 21223300221024 is an apocalyptic number.

1223300221024 is a gapful number since it is divisible by the number (14) 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 1223300221024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1405877080608).

1223300221024 is an abundant number, since it is smaller than the sum of its proper divisors (1588453940192).

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

1223300221024 is a wasteful number, since it uses less digits than its factorization.

1223300221024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454728 (or 454720 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 1223300221024 its reverse (4201220033221), we get a palindrome (5424520254245).

The spelling of 1223300221024 in words is "one trillion, two hundred twenty-three billion, three hundred million, two hundred twenty-one thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 61 112 122 197 224 244 394 427 488 788 854 976 1379 1576 1708 1952 2758 3152 3416 5516 6304 6832 11032 12017 13664 22064 24034 44128 48068 84119 96136 168238 192272 336476 384544 454453 672952 908906 1345904 1817812 2691808 3181171 3635624 6362342 7271248 12724684 14542496 25449368 27721633 50898736 55443266 89527241 101797472 110886532 179054482 194051431 221773064 358108964 388102862 443546128 626690687 716217928 776205724 887092256 1253381374 1432435856 1552411448 2506762748 2864871712 3104822896 5013525496 5461161701 6209645792 10027050992 10922323402 20054101984 21844646804 38228131907 43689293608 76456263814 87378587216 152912527628 174757174432 305825055256 611650110512 1223300221024