Search a number
-
+
123200212131 = 3237472178367
BaseRepresentation
bin111001010111101001…
…1100000110010100011
3102210000000221020020200
41302233103200302203
54004303223242011
6132333012040243
711621005344633
oct1625723406243
9383000836220
10123200212131
1148281342937
121ba63603083
13b8051cb609
145d6a3886c3
153310de6856
hex1caf4e0ca3

123200212131 has 24 divisors (see below), whose sum is σ = 182806525824. Its totient is φ = 79895704320.

The previous prime is 123200212127. The next prime is 123200212189. The reversal of 123200212131 is 131212002321.

123200212131 is a `hidden beast` number, since 1 + 2 + 320 + 0 + 212 + 131 = 666.

It is not a de Polignac number, because 123200212131 - 22 = 123200212127 is a prime.

It is a super-2 number, since 2×1232002121312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (123200212111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1532910 + ... + 1611276.

It is an arithmetic number, because the mean of its divisors is an integer number (7616938576).

Almost surely, 2123200212131 is an apocalyptic number.

123200212131 is a deficient number, since it is larger than the sum of its proper divisors (59606313693).

123200212131 is a wasteful number, since it uses less digits than its factorization.

123200212131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83131 (or 83128 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 123200212131 its reverse (131212002321), we get a palindrome (254412214452).

The spelling of 123200212131 in words is "one hundred twenty-three billion, two hundred million, two hundred twelve thousand, one hundred thirty-one".

Divisors: 1 3 9 37 111 333 4721 14163 42489 78367 174677 235101 524031 705303 1572093 2899579 8698737 26096211 369970607 1109911821 3329735463 13688912459 41066737377 123200212131