Search a number
-
+
10113132010203 = 32296710133117299
BaseRepresentation
bin1001001100101010010110…
…1001000001101011011011
31022210210202120001211111100
42103022211221001223123
52311143143243311303
633301524140402443
72062435560512655
oct223124551015333
938723676054440
1010113132010203
113249a56409812
121173bab546423
135848834aa3b1
1426d69a27d6d5
151280ebea88a3
hex932a5a41adb

10113132010203 has 96 divisors (see below), whose sum is σ = 15536667744000. Its totient is φ = 6329407392000.

The previous prime is 10113132010193. The next prime is 10113132010211. The reversal of 10113132010203 is 30201023131101.

10113132010203 is a `hidden beast` number, since 1 + 0 + 1 + 131 + 320 + 10 + 203 = 666.

It is not a de Polignac number, because 10113132010203 - 29 = 10113132009691 is a prime.

It is a super-2 number, since 2×101131320102032 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10113132010213) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 584599248 + ... + 584616546.

It is an arithmetic number, because the mean of its divisors is an integer number (161840289000).

Almost surely, 210113132010203 is an apocalyptic number.

10113132010203 is a deficient number, since it is larger than the sum of its proper divisors (5423535733797).

10113132010203 is a wasteful number, since it uses less digits than its factorization.

10113132010203 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17833 (or 17830 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10113132010203 its reverse (30201023131101), we get a palindrome (40314155141304).

The spelling of 10113132010203 in words is "ten trillion, one hundred thirteen billion, one hundred thirty-two million, ten thousand, two hundred three".

Divisors: 1 3 9 29 67 87 101 201 261 303 331 603 909 993 1943 2929 2979 5829 6767 8787 9599 17299 17487 20301 22177 26361 28797 33431 51897 60903 66531 86391 100293 155691 196243 199593 300879 501671 588729 643133 969499 1159033 1505013 1747199 1766187 1929399 2239877 2908497 3477099 4515039 5241597 5725969 5788197 6719631 8725491 10431297 15724791 17177907 20158893 33611957 50668771 51533721 64956433 100835871 117062333 152006313 166053101 194869299 302507613 351186999 383639923 456018939 498159303 578322869 584607897 1053560997 1150919769 1494477909 1734968607 3394807657 3452759307 5204905821 10184422971 11125557767 16771363201 30553268913 33376673301 38747632223 50314089603 100130019903 116242896669 150942268809 348728690007 1123681334467 3371044003401 10113132010203