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243103134001 = 72131737606737
BaseRepresentation
bin1110001001101000010…
…0110111000100110001
3212020111021102202120211
43202122010313010301
512440333400242001
6303402515504121
723364215354500
oct3423204670461
9766437382524
10243103134001
11941104217a2
123b1468b8041
1319c032560b0
14baa2860837
1564cc5c3351
hex389a137131

243103134001 has 48 divisors (see below), whose sum is σ = 331177016016. Its totient is φ = 176137887744.

The previous prime is 243103133989. The next prime is 243103134007. The reversal of 243103134001 is 100431301342.

It can be written as a sum of positive squares in 8 ways, for example, as 39124444401 + 203978689600 = 197799^2 + 451640^2 .

It is not a de Polignac number, because 243103134001 - 225 = 243069579569 is a prime.

It is a super-2 number, since 2×2431031340012 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (243103134007) 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 47 ways as a sum of consecutive naturals, for example, 97305 + ... + 704041.

It is an arithmetic number, because the mean of its divisors is an integer number (6899521167).

Almost surely, 2243103134001 is an apocalyptic number.

It is an amenable number.

243103134001 is a deficient number, since it is larger than the sum of its proper divisors (88073882015).

243103134001 is a wasteful number, since it uses less digits than its factorization.

243103134001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606818 (or 606811 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 243103134001 its reverse (100431301342), we get a palindrome (343534435343).

The spelling of 243103134001 in words is "two hundred forty-three billion, one hundred three million, one hundred thirty-four thousand, one".

Divisors: 1 7 13 17 37 49 91 119 221 259 481 629 637 833 1547 1813 3367 4403 8177 10829 23569 30821 57239 400673 606737 4247159 7887581 10314529 22449269 29730113 55213067 72201703 134088877 157144883 291840497 381637573 386491469 505411921 938622139 1100014181 2042883479 2671463011 4961288449 6570354973 14300184353 18700241077 34729019143 243103134001