Search a number
-
+
1105621533016 = 23711131371007771
BaseRepresentation
bin10000000101101100001…
…011011100000101011000
310220200210122222020022021
4100011230023130011120
5121103303103024031
62203525430304224
7142610221653430
oct20055413340530
93820718866267
101105621533016
11396989593a50
1215a33a4b8074
138034b631880
143b725d192c0
151db5e27a511
hex1016c2dc158

1105621533016 has 128 divisors (see below), whose sum is σ = 2803702325760. Its totient is φ = 394723353600.

The previous prime is 1105621533013. The next prime is 1105621533017. The reversal of 1105621533016 is 6103351265011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1105621533013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 593211 + ... + 1600981.

It is an arithmetic number, because the mean of its divisors is an integer number (21903924420).

Almost surely, 21105621533016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1105621533016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1401851162880).

1105621533016 is an abundant number, since it is smaller than the sum of its proper divisors (1698080792744).

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

1105621533016 is a wasteful number, since it uses less digits than its factorization.

1105621533016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007945 (or 1007941 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 34.

Adding to 1105621533016 its reverse (6103351265011), we get a palindrome (7208972798027).

The spelling of 1105621533016 in words is "one trillion, one hundred five billion, six hundred twenty-one million, five hundred thirty-three thousand, sixteen".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 104 137 143 154 182 274 286 308 364 548 572 616 728 959 1001 1096 1144 1507 1781 1918 2002 3014 3562 3836 4004 6028 7124 7672 8008 10549 12056 12467 14248 19591 21098 24934 39182 42196 49868 78364 84392 99736 137137 156728 274274 548548 1007771 1097096 2015542 4031084 7054397 8062168 11085481 13101023 14108794 22170962 26202046 28217588 44341924 52404092 56435176 77598367 88683848 91707161 104808184 138064627 144111253 155196734 183414322 276129254 288222506 310393468 366828644 552258508 576445012 620786936 733657288 966452389 1008778771 1104517016 1152890024 1518710897 1794840151 1932904778 2017557542 3037421794 3589680302 3865809556 4035115084 6074843588 7179360604 7731619112 8070230168 10630976279 12149687176 12563881057 14358721208 19743241661 21261952558 25127762114 39486483322 42523905116 50255524228 78972966644 85047810232 100511048456 138202691627 157945933288 276405383254 552810766508 1105621533016