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132224312331 = 3337449294781
BaseRepresentation
bin111101100100100101…
…1101110010000001011
3110122021221101000112000
41323021023232100023
54131243410443311
6140424253522043
712360433052646
oct1731113562013
9418257330460
10132224312331
11510921a4991
12217617a3323
13c612969387
146584a74a5d
15368d284056
hex1ec92ee40b

132224312331 has 32 divisors (see below), whose sum is σ = 201630888000. Its totient is φ = 85575813120.

The previous prime is 132224312303. The next prime is 132224312347. The reversal of 132224312331 is 133213422231.

132224312331 is a `hidden beast` number, since 1 + 3 + 222 + 431 + 2 + 3 + 3 + 1 = 666.

It is not a de Polignac number, because 132224312331 - 25 = 132224312299 is a prime.

It is a super-2 number, since 2×1322243123312 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 132224312295 and 132224312304.

It is not an unprimeable number, because it can be changed into a prime (132224317331) 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 31 ways as a sum of consecutive naturals, for example, 301161 + ... + 595941.

It is an arithmetic number, because the mean of its divisors is an integer number (6300965250).

Almost surely, 2132224312331 is an apocalyptic number.

132224312331 is a deficient number, since it is larger than the sum of its proper divisors (69406575669).

132224312331 is a wasteful number, since it uses less digits than its factorization.

132224312331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295276 (or 295270 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

Adding to 132224312331 its reverse (133213422231), we get a palindrome (265437734562).

The spelling of 132224312331 in words is "one hundred thirty-two billion, two hundred twenty-four million, three hundred twelve thousand, three hundred thirty-one".

Divisors: 1 3 9 27 37 111 333 449 999 1347 4041 12123 16613 49839 149517 294781 448551 884343 2653029 7959087 10906897 32720691 98162073 132356669 294486219 397070007 1191210021 3573630063 4897196753 14691590259 44074770777 132224312331