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202465432141 = 7173180192831
BaseRepresentation
bin1011110010001111100…
…0010101001001001101
3201100121011102121120221
42330203320111021031
511304122122312031
6233002240511341
720425165530550
oct2744370251115
9640534377527
10202465432141
1178957504925
12332a531b551
131612803746b
149b296d4697
1553eeb22a11
hex2f23e1524d

202465432141 has 16 divisors (see below), whose sum is σ = 232858303488. Its totient is φ = 172441008000.

The previous prime is 202465432133. The next prime is 202465432187. The reversal of 202465432141 is 141234564202.

202465432141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 202465432141 - 23 = 202465432133 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 202465432097 and 202465432106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202465432541) 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, 2134596 + ... + 2227426.

It is an arithmetic number, because the mean of its divisors is an integer number (14553643968).

Almost surely, 2202465432141 is an apocalyptic number.

It is an amenable number.

202465432141 is a deficient number, since it is larger than the sum of its proper divisors (30392871347).

202465432141 is a wasteful number, since it uses less digits than its factorization.

202465432141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94812.

The product of its (nonzero) digits is 46080, while the sum is 34.

Adding to 202465432141 its reverse (141234564202), we get a palindrome (343699996343).

The spelling of 202465432141 in words is "two hundred two billion, four hundred sixty-five million, four hundred thirty-two thousand, one hundred forty-one".

Divisors: 1 7 173 1211 1801 12607 92831 311573 649817 2181011 16059763 112418341 167188631 1170320417 28923633163 202465432141