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2023131011211 = 336110112162113
BaseRepresentation
bin11101011100001100000…
…000010101100010001011
321011102001110220222011000
4131130030000111202023
5231121333014324321
64145225154510043
7266111033566362
oct35341400254213
97142043828130
102023131011211
11710006792982
1228811a595323
13118a1b80435b
146dcc49227d9
153795da6a826
hex1d70c01588b

2023131011211 has 32 divisors (see below), whose sum is σ = 3076528357440. Its totient is φ = 1313508096000.

The previous prime is 2023131011207. The next prime is 2023131011221. The reversal of 2023131011211 is 1121101313202.

2023131011211 is a `hidden beast` number, since 2 + 0 + 231 + 310 + 1 + 121 + 1 = 666.

It is not a de Polignac number, because 2023131011211 - 22 = 2023131011207 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2023131011201) 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 31 ways as a sum of consecutive naturals, for example, 5914710 + ... + 6247403.

It is an arithmetic number, because the mean of its divisors is an integer number (96141511170).

Almost surely, 22023131011211 is an apocalyptic number.

2023131011211 is a deficient number, since it is larger than the sum of its proper divisors (1053397346229).

2023131011211 is a wasteful number, since it uses less digits than its factorization.

2023131011211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12162284 (or 12162278 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 2023131011211 its reverse (1121101313202), we get a palindrome (3144232324413).

The spelling of 2023131011211 in words is "two trillion, twenty-three billion, one hundred thirty-one million, eleven thousand, two hundred eleven".

Divisors: 1 3 9 27 61 101 183 303 549 909 1647 2727 6161 18483 55449 166347 12162113 36486339 109459017 328377051 741888893 1228373413 2225666679 3685120239 6677000037 11055360717 20031000111 33166082151 74930778193 224792334579 674377003737 2023131011211