Search a number
-
+
122132423403441 = 32112370183764251
BaseRepresentation
bin11011110001010000101011…
…101101100110011110110001
3121000102202010120121210002100
4123301100223231212132301
5112002004200342402231
61111430505531011013
734503530210065563
oct3361205355463661
9530382116553070
10122132423403441
1135a08085030a90
12118460b9599a69
13531c065956aa9
142223352bbb333
15e1be280e21e6
hex6f142bb667b1

122132423403441 has 48 divisors (see below), whose sum is σ = 200821654305792. Its totient is φ = 70800303420000.

The previous prime is 122132423403427. The next prime is 122132423403461. The reversal of 122132423403441 is 144304324231221.

122132423403441 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 3 + 242 + 3 + 403 + 4 + 4 + 1 = 666.

It is not a de Polignac number, because 122132423403441 - 27 = 122132423403313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122132423403396 and 122132423403405.

It is not an unprimeable number, because it can be changed into a prime (122132423403461) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 159424566 + ... + 160188816.

It is an arithmetic number, because the mean of its divisors is an integer number (4183784464704).

Almost surely, 2122132423403441 is an apocalyptic number.

122132423403441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122132423403441 is a deficient number, since it is larger than the sum of its proper divisors (78689230902351).

122132423403441 is a wasteful number, since it uses less digits than its factorization.

122132423403441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834474 (or 834471 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 122132423403441 its reverse (144304324231221), we get a palindrome (266436747634662).

The spelling of 122132423403441 in words is "one hundred twenty-two trillion, one hundred thirty-two billion, four hundred twenty-three million, four hundred three thousand, four hundred forty-one".

Divisors: 1 3 9 11 23 33 69 99 207 253 759 2277 70183 210549 631647 764251 772013 1614209 2292753 2316039 4842627 6878259 6948117 8406761 14527881 17577773 17756299 25220283 52733319 53268897 75660849 158199957 159806691 193355503 580066509 1740199527 53637427933 160912283799 482736851397 590011707263 1233660842459 1770035121789 3700982527377 5310105365367 11102947582131 13570269267049 40710807801147 122132423403441