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103313012311131 = 37103853302318523
BaseRepresentation
bin10111011111011001101111…
…011001100100010001011011
3111112210121221110110201122020
4113133121233121210101123
5102020140022122424011
61003421202002225523
730522055520143110
oct2737315731442133
9445717843421566
10103313012311131
112aa118910a3097
12b7069069552a3
1345854b5596c1c
141b7253b09c907
15be261dc57006
hex5df66f66445b

103313012311131 has 64 divisors (see below), whose sum is σ = 159205382848512. Its totient is φ = 58371835842432.

The previous prime is 103313012311127. The next prime is 103313012311177. The reversal of 103313012311131 is 131113210313301.

It is not a de Polignac number, because 103313012311131 - 22 = 103313012311127 is a prime.

It is a super-2 number, since 2×1033130123111312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (103313012311181) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5577543636 + ... + 5577562158.

It is an arithmetic number, because the mean of its divisors is an integer number (2487584107008).

Almost surely, 2103313012311131 is an apocalyptic number.

103313012311131 is a deficient number, since it is larger than the sum of its proper divisors (55892370537381).

103313012311131 is a wasteful number, since it uses less digits than its factorization.

103313012311131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22512.

The product of its (nonzero) digits is 486, while the sum is 24.

Adding to 103313012311131 its reverse (131113210313301), we get a palindrome (234426222624432).

The spelling of 103313012311131 in words is "one hundred three trillion, three hundred thirteen billion, twelve million, three hundred eleven thousand, one hundred thirty-one".

Divisors: 1 3 7 21 103 309 721 853 2163 2559 3023 5971 9069 17913 18523 21161 55569 63483 87859 129661 263577 311369 388983 615013 934107 1845039 1907869 2179583 2578619 5723607 6538749 7735857 13355083 15800119 18050333 40065249 47400357 54150999 55995029 110600833 167985087 265597757 331802499 391965203 796793271 1175895609 1627412257 1859184299 4882236771 5577552897 5767487987 11391885799 17302463961 34175657397 40372415909 47763759737 121117247727 143291279211 334346318159 1003038954477 4919667252911 14759001758733 34437670770377 103313012311131