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1131234024320 = 2754397435419
BaseRepresentation
bin10000011101100010110…
…011010101101110000000
311000010220122101121020022
4100131202303111232000
5122013231402234240
62223403131033012
7144505014360641
oct20354263255600
94003818347208
101131234024320
113a683212a834
121632a7b9b768
13828a0a1847a
143ca7577b6c8
151e65cad69b5
hex10762cd5b80

1131234024320 has 128 divisors (see below), whose sum is σ = 2714665536000. Its totient is φ = 450772051968.

The previous prime is 1131234024293. The next prime is 1131234024343. The reversal of 1131234024320 is 234204321311.

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

It is a super-3 number, since 3×11312340243203 (a number of 37 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1131234024320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 208750571 + ... + 208755989.

It is an arithmetic number, because the mean of its divisors is an integer number (21208324500).

Almost surely, 21131234024320 is an apocalyptic number.

1131234024320 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 1131234024320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357332768000).

1131234024320 is an abundant number, since it is smaller than the sum of its proper divisors (1583431511680).

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

1131234024320 is an equidigital number, since it uses as much as digits as its factorization.

1131234024320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6620 (or 6608 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 1131234024320 its reverse (234204321311), we get a palindrome (1365438345631).

The spelling of 1131234024320 in words is "one trillion, one hundred thirty-one billion, two hundred thirty-four million, twenty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 439 640 743 878 1486 1756 2195 2972 3512 3715 4390 5419 5944 7024 7430 8780 10838 11888 14048 14860 17560 21676 23776 27095 28096 29720 35120 43352 47552 54190 56192 59440 70240 86704 95104 108380 118880 140480 173408 216760 237760 280960 326177 346816 433520 475520 652354 693632 867040 1304708 1630885 1734080 2378941 2609416 3261770 3468160 4026317 4757882 5218832 6523540 8052634 9515764 10437664 11894705 13047080 16105268 19031528 20131585 20875328 23789410 26094160 32210536 38063056 40263170 41750656 47578820 52188320 64421072 76126112 80526340 95157640 104376640 128842144 152252224 161052680 190315280 208753280 257684288 304504448 322105360 380630560 515368576 644210720 761261120 1288421440 1522522240 1767553163 2576842880 3535106326 7070212652 8837765815 14140425304 17675531630 28280850608 35351063260 56561701216 70702126520 113123402432 141404253040 226246804864 282808506080 565617012160 1131234024320