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2023131310201 = 73173663724137
BaseRepresentation
bin11101011100001100000…
…001011110100001111001
321011102001111111011021201
4131130030001132201321
5231121333103411301
64145225205134201
7266111036253151
oct35341401364171
97142044434251
102023131310201
11710006977581
1228811a6ba361
13118a1b8aa481
146dcc499d761
153795dac9201
hex1d70c05e879

2023131310201 has 16 divisors (see below), whose sum is σ = 2063096294544. Its totient is φ = 1983501886464.

The previous prime is 2023131310181. The next prime is 2023131310229. The reversal of 2023131310201 is 1020131313202.

It can be written as a sum of positive squares in 8 ways, for example, as 4586540176 + 2018544770025 = 67724^2 + 1420755^2 .

It is a cyclic number.

It is not a de Polignac number, because 2023131310201 - 223 = 2023122921593 is a prime.

It is a super-2 number, since 2×20231313102012 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2023131310271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83806605 + ... + 83830741.

It is an arithmetic number, because the mean of its divisors is an integer number (128943518409).

Almost surely, 22023131310201 is an apocalyptic number.

It is an amenable number.

2023131310201 is a deficient number, since it is larger than the sum of its proper divisors (39964984343).

2023131310201 is a wasteful number, since it uses less digits than its factorization.

2023131310201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31020.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 2023131310201 its reverse (1020131313202), we get a palindrome (3043262623403).

It can be divided in two parts, 2023131 and 310201, that added together give a palindrome (2333332).

The spelling of 2023131310201 in words is "two trillion, twenty-three billion, one hundred thirty-one million, three hundred ten thousand, two hundred one".

Divisors: 1 73 173 6637 12629 24137 484501 1148201 1762001 4175701 83818673 160197269 304826173 11694400637 27714127537 2023131310201