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2123023131 = 3210121111069
BaseRepresentation
bin111111010001010…
…1100001100011011
312110221211202020100
41332202230030123
513321443220011
6550355430443
7103416253545
oct17642541433
95427752210
102123023131
1199a433779
124b2bb5423
1327aabc308
14161d60695
15c65b3d56
hex7e8ac31b

2123023131 has 24 divisors (see below), whose sum is σ = 3111909840. Its totient is φ = 1394568000.

The previous prime is 2123023117. The next prime is 2123023141. The reversal of 2123023131 is 1313203212.

It is not a de Polignac number, because 2123023131 - 29 = 2123022619 is a prime.

It is a super-2 number, since 2×21230231312 = 9014454429522086322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2123023141) 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 23 ways as a sum of consecutive naturals, for example, 186265 + ... + 197333.

It is an arithmetic number, because the mean of its divisors is an integer number (129662910).

Almost surely, 22123023131 is an apocalyptic number.

2123023131 is a deficient number, since it is larger than the sum of its proper divisors (988886709).

2123023131 is a wasteful number, since it uses less digits than its factorization.

2123023131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11387 (or 11384 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2123023131 is about 46076.2751424201. The cubic root of 2123023131 is about 1285.2419981579.

Adding to 2123023131 its reverse (1313203212), we get a palindrome (3436226343).

The spelling of 2123023131 in words is "two billion, one hundred twenty-three million, twenty-three thousand, one hundred thirty-one".

Divisors: 1 3 9 101 211 303 633 909 1899 11069 21311 33207 63933 99621 191799 1117969 2335559 3353907 7006677 10061721 21020031 235891459 707674377 2123023131