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230342102132 = 222941229211493
BaseRepresentation
bin1101011010000101110…
…1011000110001110100
3211000112221022011202212
43112201131120301310
512233220034232012
6253452342352552
722433043364112
oct3264135306164
9730487264685
10230342102132
118976212566a
123878512b758
131894b53366c
14b211b3cab2
155ed2126b22
hex35a1758c74

230342102132 has 48 divisors (see below), whose sum is σ = 429036728400. Its totient is φ = 108013194240.

The previous prime is 230342102131. The next prime is 230342102143. The reversal of 230342102132 is 231201243032.

230342102132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 2444709136 + 227897392996 = 49444^2 + 477386^2 .

It is a junction number, because it is equal to n+sod(n) for n = 230342102098 and 230342102107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230342102131) 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 15 ways as a sum of consecutive naturals, for example, 983378 + ... + 1194870.

It is an arithmetic number, because the mean of its divisors is an integer number (8938265175).

Almost surely, 2230342102132 is an apocalyptic number.

It is an amenable number.

230342102132 is a deficient number, since it is larger than the sum of its proper divisors (198694626268).

230342102132 is a wasteful number, since it uses less digits than its factorization.

230342102132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211796 (or 211794 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 230342102132 its reverse (231201243032), we get a palindrome (461543345164).

The spelling of 230342102132 in words is "two hundred thirty billion, three hundred forty-two million, one hundred two thousand, one hundred thirty-two".

Divisors: 1 2 4 29 41 58 82 116 164 229 458 916 1189 2378 4756 6641 9389 13282 18778 26564 37556 211493 272281 422986 544562 845972 1089124 6133297 8671213 12266594 17342426 24533188 34684852 48431897 96863794 193727588 251465177 502930354 1005860708 1404525013 1985707777 2809050026 3971415554 5618100052 7942831108 57585525533 115171051066 230342102132