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4131301122 = 23213412231931
BaseRepresentation
bin1111011000111110…
…1010011100000010
3101122220202211201200
43312033222130002
531430103113442
61521540042030
7204243323454
oct36617523402
911586684650
104131301122
111830014753
12973693316
1350aba44a0
142b29722d4
15192a5e34c
hexf63ea702

4131301122 has 96 divisors (see below), whose sum is σ = 9924235776. Its totient is φ = 1233964800.

The previous prime is 4131301091. The next prime is 4131301123. The reversal of 4131301122 is 2211031314.

4131301122 is a `hidden beast` number, since 413 + 130 + 1 + 122 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4131301095 and 4131301104.

It is not an unprimeable number, because it can be changed into a prime (4131301123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2138497 + ... + 2140427.

It is an arithmetic number, because the mean of its divisors is an integer number (103377456).

Almost surely, 24131301122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4131301122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4962117888).

4131301122 is an abundant number, since it is smaller than the sum of its proper divisors (5792934654).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4131301122 is a wasteful number, since it uses less digits than its factorization.

4131301122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2216 (or 2213 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 4131301122 is about 64275.1983427511. The cubic root of 4131301122 is about 1604.5833582405.

Adding to 4131301122 its reverse (2211031314), we get a palindrome (6342332436).

The spelling of 4131301122 in words is "four billion, one hundred thirty-one million, three hundred one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 41 78 82 117 123 223 234 246 369 446 533 669 738 1066 1338 1599 1931 2007 2899 3198 3862 4014 4797 5793 5798 8697 9143 9594 11586 17379 17394 18286 25103 26091 27429 34758 50206 52182 54858 75309 79171 82287 118859 150618 158342 164574 225927 237513 237718 356577 430613 451854 475026 712539 713154 861226 1029223 1069731 1291839 1425078 2058446 2139462 2583678 3087669 3875517 5597969 6175338 7751034 9263007 11195938 16793907 17655133 18526014 33587814 35310266 50381721 52965399 100763442 105930798 158896197 229516729 317792394 459033458 688550187 1377100374 2065650561 4131301122