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2023042414131 = 321754931280863
BaseRepresentation
bin11101011100000110101…
…110010111011000110011
321011101211022012202210200
4131130012232113120303
5231121142324223011
64145212311530243
7266105606536014
oct35340656273063
97141738182720
102023042414131
1170aa7077a652
122880b4989983
13118a06353b4b
146dcb6c5d00b
1537955db9856
hex1d706b97633

2023042414131 has 12 divisors (see below), whose sum is σ = 2922191308608. Its totient is φ = 1348686204624.

The previous prime is 2023042414123. The next prime is 2023042414157. The reversal of 2023042414131 is 1314142403202.

2023042414131 is a `hidden beast` number, since 2 + 0 + 2 + 3 + 0 + 4 + 241 + 413 + 1 = 666.

It is not a de Polignac number, because 2023042414131 - 23 = 2023042414123 is a prime.

It is a super-2 number, since 2×20230424141312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2023042414095 and 2023042414104.

It is not an unprimeable number, because it can be changed into a prime (2023042414121) 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 11 ways as a sum of consecutive naturals, for example, 939006 + ... + 2219868.

It is an arithmetic number, because the mean of its divisors is an integer number (243515942384).

Almost surely, 22023042414131 is an apocalyptic number.

2023042414131 is a deficient number, since it is larger than the sum of its proper divisors (899148894477).

2023042414131 is a wasteful number, since it uses less digits than its factorization.

2023042414131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1456362 (or 1456359 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 2023042414131 its reverse (1314142403202), we get a palindrome (3337184817333).

The spelling of 2023042414131 in words is "two trillion, twenty-three billion, forty-two million, four hundred fourteen thousand, one hundred thirty-one".

Divisors: 1 3 9 175493 526479 1280863 1579437 3842589 11527767 224782490459 674347471377 2023042414131