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132233211123 = 31373184725147
BaseRepresentation
bin111101100100110110…
…1101010110011110011
3110122022120010010100220
41323021231222303303
54131303200223443
6140425212344123
712360601514646
oct1731155526363
9418276103326
10132233211123
1151097222762
1221764775043
13c614763930
146585d0da5d
15368de40a83
hex1ec9b6acf3

132233211123 has 32 divisors (see below), whose sum is σ = 192586200576. Its totient is φ = 80212923648.

The previous prime is 132233211109. The next prime is 132233211163. The reversal of 132233211123 is 321112332231.

It is not a de Polignac number, because 132233211123 - 210 = 132233210099 is a prime.

It is a super-2 number, since 2×1322332111232 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132233211093 and 132233211102.

It is not an unprimeable number, because it can be changed into a prime (132233211163) 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 31 ways as a sum of consecutive naturals, for example, 5245836 + ... + 5270982.

It is an arithmetic number, because the mean of its divisors is an integer number (6018318768).

Almost surely, 2132233211123 is an apocalyptic number.

132233211123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

132233211123 is a deficient number, since it is larger than the sum of its proper divisors (60352989453).

132233211123 is a wasteful number, since it uses less digits than its factorization.

132233211123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27083.

The product of its digits is 1296, while the sum is 24.

Adding to 132233211123 its reverse (321112332231), we get a palindrome (453345543354).

The spelling of 132233211123 in words is "one hundred thirty-two billion, two hundred thirty-three million, two hundred eleven thousand, one hundred twenty-three".

Divisors: 1 3 13 39 73 219 949 1847 2847 5541 24011 25147 72033 75441 134831 326911 404493 980733 1752803 1835731 5258409 5507193 23864503 46446509 71593509 139339527 603804617 1811413851 3390595157 10171785471 44077737041 132233211123