Search a number
-
+
103011320233113 = 32967891911039603
BaseRepresentation
bin10111011011000000110001…
…001001100111110010011001
3111111201210020000121020012220
4113123000301021213302121
5102000214140434424423
61003030425222054253
730461215354611405
oct2733006111476231
9444653200536186
10103011320233113
112a905945854606
12b67834a87a389
134562c06033826
141b61abb338105
15bd9862c5b9e3
hex5db031267c99

103011320233113 has 64 divisors (see below), whose sum is σ = 146589154099200. Its totient is φ = 64244409546240.

The previous prime is 103011320233027. The next prime is 103011320233183. The reversal of 103011320233113 is 311332023110301.

It is not a de Polignac number, because 103011320233113 - 213 = 103011320224921 is a prime.

It is a super-2 number, since 2×1030113202331132 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (103011320233183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 98567370 + ... + 99606972.

It is an arithmetic number, because the mean of its divisors is an integer number (2290455532800).

Almost surely, 2103011320233113 is an apocalyptic number.

It is an amenable number.

103011320233113 is a deficient number, since it is larger than the sum of its proper divisors (43577833866087).

103011320233113 is a wasteful number, since it uses less digits than its factorization.

103011320233113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1039982.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 103011320233113 its reverse (311332023110301), we get a palindrome (414343343343414).

The spelling of 103011320233113 in words is "one hundred three trillion, eleven billion, three hundred twenty million, two hundred thirty-three thousand, one hundred thirteen".

Divisors: 1 3 29 67 87 89 191 201 267 573 1943 2581 5539 5829 5963 7743 12797 16617 16999 17889 38391 50997 172927 371113 492971 518781 1039603 1113339 1138933 1478913 3118809 3416799 30148487 33029057 69653401 90445461 92524667 99087171 198564173 208960203 277574001 595692519 2019948629 2683215343 5758361017 6059845887 6199152689 8049646029 13303799591 17275083051 17672211397 18597458067 39911398773 53016634191 179775427981 385810188139 512494130513 539326283943 1157430564417 1184038163599 1537482391539 3552114490797 34337106744371 103011320233113