Search a number
-
+
122616434001 = 3115135510117
BaseRepresentation
bin111001000110010000…
…0100100110101010001
3102201111100110020012110
41302030200210311101
54002104301342001
6132155035415533
711600356330605
oct1621440446521
9381440406173
10122616434001
1148001864776
121b91bbb45a9
13b741292579
145d12a25505
1532c9a303d6
hex1c8c824d51

122616434001 has 8 divisors (see below), whose sum is σ = 163630623744. Its totient is φ = 81673266800.

The previous prime is 122616433981. The next prime is 122616434029. The reversal of 122616434001 is 100434616221.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 122616434001 - 27 = 122616433873 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 122616434001.

It is not an unprimeable number, because it can be changed into a prime (122616434081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17751606 + ... + 17758511.

It is an arithmetic number, because the mean of its divisors is an integer number (20453827968).

Almost surely, 2122616434001 is an apocalyptic number.

It is an amenable number.

122616434001 is a deficient number, since it is larger than the sum of its proper divisors (41014189743).

122616434001 is a wasteful number, since it uses less digits than its factorization.

122616434001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35511271.

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 122616434001 in words is "one hundred twenty-two billion, six hundred sixteen million, four hundred thirty-four thousand, one".

Divisors: 1 3 1151 3453 35510117 106530351 40872144667 122616434001