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202423142133 = 3246170968813
BaseRepresentation
bin1011110010000101011…
…1000000011011110101
3201100111012212001121100
42330201113000123311
511304030311022013
6232554130240313
720424143214222
oct2744127003365
9640435761540
10202423142133
117893564a803
1233293126099
131611c34b4a4
149b23c46949
1553eb06c473
hex2f215c06f5

202423142133 has 24 divisors (see below), whose sum is σ = 293440787640. Its totient is φ = 134464152960.

The previous prime is 202423142113. The next prime is 202423142177. The reversal of 202423142133 is 331241324202.

202423142133 is a `hidden beast` number, since 2 + 0 + 2 + 4 + 231 + 421 + 3 + 3 = 666.

202423142133 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 4 ways, for example, as 36463048209 + 165960093924 = 190953^2 + 407382^2 .

It is not a de Polignac number, because 202423142133 - 26 = 202423142069 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 202423142097 and 202423142106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202423142113) 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, 2907235 + ... + 2976047.

It is an arithmetic number, because the mean of its divisors is an integer number (12226699485).

Almost surely, 2202423142133 is an apocalyptic number.

It is an amenable number.

202423142133 is a deficient number, since it is larger than the sum of its proper divisors (91017645507).

202423142133 is a wasteful number, since it uses less digits than its factorization.

202423142133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69989 (or 69986 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 202423142133 its reverse (331241324202), we get a palindrome (533664466335).

The spelling of 202423142133 in words is "two hundred two billion, four hundred twenty-three million, one hundred forty-two thousand, one hundred thirty-three".

Divisors: 1 3 9 461 709 1383 2127 4149 6381 68813 206439 326849 619317 980547 2941641 31722793 48788417 95168379 146365251 285505137 439095753 22491460237 67474380711 202423142133