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230013002421 = 32173749038287
BaseRepresentation
bin1101011000110111010…
…1111110001010110101
3210222201000001011211200
43112031311332022311
512232031312034141
6253355544523113
722421636155536
oct3261565761265
9728630034750
10230013002421
1189603386134
12386b2a80499
13188c82b75c7
14b1c015268d
155eb32baab6
hex358dd7e2b5

230013002421 has 48 divisors (see below), whose sum is σ = 361409577984. Its totient is φ = 140375711232.

The previous prime is 230013002407. The next prime is 230013002437. The reversal of 230013002421 is 124200310032.

230013002421 is a `hidden beast` number, since 230 + 0 + 13 + 0 + 0 + 2 + 421 = 666.

It is not a de Polignac number, because 230013002421 - 29 = 230013001909 is a prime.

It is a super-2 number, since 2×2300130024212 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 230013002394 and 230013002403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230013002441) 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 47 ways as a sum of consecutive naturals, for example, 27751740 + ... + 27760026.

It is an arithmetic number, because the mean of its divisors is an integer number (7529366208).

Almost surely, 2230013002421 is an apocalyptic number.

It is an amenable number.

230013002421 is a deficient number, since it is larger than the sum of its proper divisors (131396575563).

230013002421 is a wasteful number, since it uses less digits than its factorization.

230013002421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13250 (or 13247 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 230013002421 its reverse (124200310032), we get a palindrome (354213312453).

The spelling of 230013002421 in words is "two hundred thirty billion, thirteen million, two thousand, four hundred twenty-one".

Divisors: 1 3 9 17 37 51 111 153 333 629 1887 4903 5661 8287 14709 24861 44127 74583 83351 140879 181411 250053 306619 422637 544233 750159 919857 1267911 1632699 2759571 3083987 5212523 9251961 15637569 27755883 40631161 46912707 121893483 365680449 690729737 1503352957 2072189211 4510058871 6216567633 13530176613 25557000269 76671000807 230013002421