Search a number
-
+
131223110202 = 2323725325181
BaseRepresentation
bin111101000110110000…
…0011100001000111010
3110112201011102200101200
41322031200130020322
54122221104011302
6140141050355030
712323555014212
oct1721540341072
9415634380350
10131223110202
115071902aa08
122152242ba76
13c4b33cac92
1464cbad3242
15363041681c
hex1e8d81c23a

131223110202 has 36 divisors (see below), whose sum is σ = 292208711886. Its totient is φ = 42558838560.

The previous prime is 131223110201. The next prime is 131223110219. The reversal of 131223110202 is 202011322131.

131223110202 is a `hidden beast` number, since 131 + 22 + 311 + 0 + 202 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 124885198881 + 6337911321 = 353391^2 + 79611^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (131223110201) 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 17 ways as a sum of consecutive naturals, for example, 2637949 + ... + 2687232.

Almost surely, 2131223110202 is an apocalyptic number.

131223110202 is an abundant number, since it is smaller than the sum of its proper divisors (160985601684).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131223110202 is a wasteful number, since it uses less digits than its factorization.

131223110202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5325263 (or 5325223 counting only the distinct ones).

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

Adding to 131223110202 its reverse (202011322131), we get a palindrome (333234432333).

The spelling of 131223110202 in words is "one hundred thirty-one billion, two hundred twenty-three million, one hundred ten thousand, two hundred two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 1369 2738 4107 8214 12321 24642 5325181 10650362 15975543 31951086 47926629 95853258 197031697 394063394 591095091 1182190182 1773285273 3546570546 7290172789 14580345578 21870518367 43741036734 65611555101 131223110202