Search a number
-
+
1105505100063 = 327134572953661
BaseRepresentation
bin10000000101100101001…
…111010010000100011111
310220200111112212211022200
4100011211033102010133
5121103033301200223
62203510110542543
7142604306206650
oct20054517220437
93820445784280
101105505100063
11396929899171
1215a307507a53
1380330486430
143b71468b527
151db53e2ba43
hex101653d211f

1105505100063 has 48 divisors (see below), whose sum is σ = 1969643597376. Its totient is φ = 581847390720.

The previous prime is 1105505100061. The next prime is 1105505100083. The reversal of 1105505100063 is 3600015055011.

1105505100063 is a `hidden beast` number, since 1 + 1 + 0 + 550 + 5 + 100 + 0 + 6 + 3 = 666.

It is not a de Polignac number, because 1105505100063 - 21 = 1105505100061 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1105505100061) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1102548 + ... + 1851113.

It is an arithmetic number, because the mean of its divisors is an integer number (41034241612).

Almost surely, 21105505100063 is an apocalyptic number.

1105505100063 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1105505100063 is a deficient number, since it is larger than the sum of its proper divisors (864138497313).

1105505100063 is a wasteful number, since it uses less digits than its factorization.

1105505100063 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2954144 (or 2954141 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 27.

The spelling of 1105505100063 in words is "one trillion, one hundred five billion, five hundred five million, one hundred thousand, sixty-three".

Divisors: 1 3 7 9 13 21 39 63 91 117 273 457 819 1371 3199 4113 5941 9597 17823 28791 41587 53469 124761 374283 2953661 8860983 20675627 26582949 38397593 62026881 115192779 186080643 268783151 345578337 806349453 1349823077 2419048359 4049469231 9448761539 12148407693 17547700001 28346284617 52643100003 85038853851 122833900007 157929300009 368501700021 1105505100063