Search a number
-
+
1105011060606 = 2331943147117027
BaseRepresentation
bin10000000101000111110…
…010101010111101111110
310220122020010021000121000
4100011013302222331332
5121101030312414411
62203345101551130
7142556130016455
oct20050762527576
93818203230530
101105011060606
113966a5a32aa2
1215a1a9b754a6
138028200a3ab
143b6a8c07b9c
151db2588e956
hex10147caaf7e

1105011060606 has 128 divisors (see below), whose sum is σ = 2646886809600. Its totient is φ = 340584017760.

The previous prime is 1105011060589. The next prime is 1105011060613. The reversal of 1105011060606 is 6060601105011.

1105011060606 is a `hidden beast` number, since 1 + 1 + 0 + 50 + 1 + 1 + 0 + 6 + 0 + 606 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 1105011060606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 64889065 + ... + 64906091.

It is an arithmetic number, because the mean of its divisors is an integer number (20678803200).

Almost surely, 21105011060606 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1105011060606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1323443404800).

1105011060606 is an abundant number, since it is smaller than the sum of its proper divisors (1541875748994).

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

1105011060606 is a wasteful number, since it uses less digits than its factorization.

1105011060606 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18571 (or 18565 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

Adding to 1105011060606 its reverse (6060601105011), we get a palindrome (7165612165617).

The spelling of 1105011060606 in words is "one trillion, one hundred five billion, eleven million, sixty thousand, six hundred six".

Divisors: 1 2 3 6 9 18 19 27 38 43 54 57 86 114 129 171 258 342 387 513 774 817 1026 1161 1471 1634 2322 2451 2942 4413 4902 7353 8826 13239 14706 17027 22059 26478 27949 34054 39717 44118 51081 55898 63253 79434 83847 102162 126506 153243 167694 189759 251541 306486 323513 379518 459729 503082 569277 647026 732161 754623 919458 970539 1138554 1201807 1464322 1509246 1707831 1941078 2196483 2403614 2911617 3415662 3605421 4392966 5823234 6589449 7210842 8734851 10816263 13178898 13911059 17469702 19768347 21632526 25046717 27822118 32448789 39536694 41733177 50093434 64897578 75140151 83466354 125199531 150280302 225420453 250399062 375598593 450840906 475887623 676261359 751197186 951775246 1077008831 1352522718 1427662869 2154017662 2855325738 3231026493 4282988607 6462052986 8565977214 9693079479 12848965821 19386158958 20463167789 25697931642 29079238437 40926335578 58158476874 61389503367 122779006734 184168510101 368337020202 552505530303 1105011060606