Search a number
-
+
122324114432 = 210132706847
BaseRepresentation
bin111000111101100010…
…1011101110000000000
3102200201222101212010202
41301323011131300000
54001004433130212
6132110034144332
711560206550142
oct1617305356000
9380658355122
10122324114432
1147971856753
121b85a1220a8
13b6c5853600
145cc5c90c92
1532ae03c0c2
hex1c7b15dc00

122324114432 has 66 divisors (see below), whose sum is σ = 264785967648. Its totient is φ = 56457203712.

The previous prime is 122324114399. The next prime is 122324114443. The reversal of 122324114432 is 234411423221.

It is a junction number, because it is equal to n+sod(n) for n = 122324114395 and 122324114404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 180368 + ... + 526479.

Almost surely, 2122324114432 is an apocalyptic number.

It is an amenable number.

122324114432 is an abundant number, since it is smaller than the sum of its proper divisors (142461853216).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122324114432 is an equidigital number, since it uses as much as digits as its factorization.

122324114432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706893 (or 706862 counting only the distinct ones).

The product of its digits is 9216, while the sum is 29.

Adding to 122324114432 its reverse (234411423221), we get a palindrome (356735537653).

The spelling of 122324114432 in words is "one hundred twenty-two billion, three hundred twenty-four million, one hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 256 338 416 512 676 832 1024 1352 1664 2704 3328 5408 6656 10816 13312 21632 43264 86528 173056 706847 1413694 2827388 5654776 9189011 11309552 18378022 22619104 36756044 45238208 73512088 90476416 119457143 147024176 180952832 238914286 294048352 361905664 477828572 588096704 723811328 955657144 1176193408 1911314288 2352386816 3822628576 4704773632 7645257152 9409547264 15290514304 30581028608 61162057216 122324114432