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233012220230131 = 6730723994722101
BaseRepresentation
bin110100111110110001100010…
…100111010111100111110011
31010120000202021021010002210121
4310332301202213113213303
5221020133011334331011
62143324200342111111
7100036402015350166
oct6476614247274763
91116022237102717
10233012220230131
1168276a22781921
12221733b511b497
13a002c5bbb0c14
144177bccc51add
151be12b1330e71
hexd3ec629d79f3

233012220230131 has 16 divisors (see below), whose sum is σ = 237359290291200. Its totient is φ = 228691340776800.

The previous prime is 233012220230113. The next prime is 233012220230159. The reversal of 233012220230131 is 131032022210332.

It is a cyclic number.

It is not a de Polignac number, because 233012220230131 - 227 = 233012086012403 is a prime.

It is a super-2 number, since 2×2330122202301312 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 233012220230096 and 233012220230105.

It is not an unprimeable number, because it can be changed into a prime (233012220230171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46983981 + ... + 51706081.

It is an arithmetic number, because the mean of its divisors is an integer number (14834955643200).

Almost surely, 2233012220230131 is an apocalyptic number.

233012220230131 is a deficient number, since it is larger than the sum of its proper divisors (4347070061069).

233012220230131 is a wasteful number, since it uses less digits than its factorization.

233012220230131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4724874.

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 233012220230131 its reverse (131032022210332), we get a palindrome (364044242440463).

The spelling of 233012220230131 in words is "two hundred thirty-three trillion, twelve billion, two hundred twenty million, two hundred thirty thousand, one hundred thirty-one".

Divisors: 1 67 307 2399 20569 160733 736493 4722101 49345031 316380767 1449685007 11328320299 97128895469 758997460033 3477794331793 233012220230131