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23041400121 = 327693329201
BaseRepresentation
bin10101011101010111…
…111101110100111001
32012110210110101212200
4111131113331310321
5334142044300441
614330213100413
71443662445435
oct253527756471
965423411780
1023041400121
1198542a6a43
124570627709
13223282608c
1411881c79c5
158ecc8b7b6
hex55d5fdd39

23041400121 has 12 divisors (see below), whose sum is σ = 33325312020. Its totient is φ = 15340953600.

The previous prime is 23041400119. The next prime is 23041400153. The reversal of 23041400121 is 12100414032.

23041400121 is a `hidden beast` number, since 230 + 414 + 0 + 0 + 1 + 21 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14176236096 + 8865164025 = 119064^2 + 94155^2 .

It is not a de Polignac number, because 23041400121 - 21 = 23041400119 is a prime.

It is a super-2 number, since 2×230414001212 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23041400094 and 23041400103.

It is not an unprimeable number, because it can be changed into a prime (23041400171) 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, 1657680 + ... + 1671521.

It is an arithmetic number, because the mean of its divisors is an integer number (2777109335).

Almost surely, 223041400121 is an apocalyptic number.

It is an amenable number.

23041400121 is a deficient number, since it is larger than the sum of its proper divisors (10283911899).

23041400121 is a wasteful number, since it uses less digits than its factorization.

23041400121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3329976 (or 3329973 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 23041400121 its reverse (12100414032), we get a palindrome (35141814153).

The spelling of 23041400121 in words is "twenty-three billion, forty-one million, four hundred thousand, one hundred twenty-one".

Divisors: 1 3 9 769 2307 6921 3329201 9987603 29962809 2560155569 7680466707 23041400121