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311113115131 = 7137189659821
BaseRepresentation
bin1001000011011111100…
…10010110010111111011
31002202001000012202202211
410201233302112113323
520044124424141011
6354531241435551
731322446563040
oct4415762262773
91082030182684
10311113115131
1110aa40274175
125036719bbb7
132345130c490
14110b50591c7
15815d143b21
hex486fc965fb

311113115131 has 64 divisors (see below), whose sum is σ = 393739315200. Its totient is φ = 239305651200.

The previous prime is 311113115123. The next prime is 311113115197. The reversal of 311113115131 is 131511311113.

It is not a de Polignac number, because 311113115131 - 23 = 311113115123 is a prime.

It is a super-2 number, since 2×3111131151312 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (311113115111) 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, 378943701 + ... + 378944521.

It is an arithmetic number, because the mean of its divisors is an integer number (6152176800).

Almost surely, 2311113115131 is an apocalyptic number.

311113115131 is a deficient number, since it is larger than the sum of its proper divisors (82626200069).

311113115131 is a wasteful number, since it uses less digits than its factorization.

311113115131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1660.

The product of its digits is 135, while the sum is 22.

Adding to 311113115131 its reverse (131511311113), we get a palindrome (442624426244).

The spelling of 311113115131 in words is "three hundred eleven billion, one hundred thirteen million, one hundred fifteen thousand, one hundred thirty-one".

Divisors: 1 7 13 71 89 91 497 623 659 821 923 1157 4613 5747 6319 6461 8099 8567 10673 44233 46789 58291 58651 59969 73069 74711 82147 327523 408037 410557 511483 541039 575029 608257 757783 762463 949897 3787273 4164221 4257799 5187899 5304481 5337241 6649279 7033507 29149547 36315293 38413769 48152471 49234549 54134873 67442687 268896383 337067297 378944111 472098809 499378997 625982123 3418825441 3495652979 4381874861 23931778087 44444730733 311113115131