Search a number
-
+
252203331123 = 32193446332533
BaseRepresentation
bin1110101011100001111…
…1010110111000110011
3220002222111001200012200
43222320133112320303
513113003023043443
6311505520354243
724135555641442
oct3527037267063
9802874050180
10252203331123
1197a60229567
1240a66475983
131aa236b8813
14c2c72b8d59
156861492dd3
hex3ab87d6e33

252203331123 has 24 divisors (see below), whose sum is σ = 366274539072. Its totient is φ = 167221767168.

The previous prime is 252203331109. The next prime is 252203331131. The reversal of 252203331123 is 321133302252.

It is a happy number.

252203331123 is a `hidden beast` number, since 2 + 5 + 2 + 203 + 331 + 123 = 666.

It is not a de Polignac number, because 252203331123 - 26 = 252203331059 is a prime.

It is a super-2 number, since 2×2522033311232 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (252203331143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7735965 + ... + 7768497.

It is an arithmetic number, because the mean of its divisors is an integer number (15261439128).

Almost surely, 2252203331123 is an apocalyptic number.

252203331123 is a deficient number, since it is larger than the sum of its proper divisors (114071207949).

252203331123 is a wasteful number, since it uses less digits than its factorization.

252203331123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37195 (or 37192 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 252203331123 its reverse (321133302252), we get a palindrome (573336633375).

The spelling of 252203331123 in words is "two hundred fifty-two billion, two hundred three million, three hundred thirty-one thousand, one hundred twenty-three".

Divisors: 1 3 9 193 579 1737 4463 13389 32533 40167 97599 292797 861359 2584077 6278869 7752231 18836607 56509821 145194779 435584337 1306753011 28022592347 84067777041 252203331123