Search a number
-
+
122444440401 = 3181253988813
BaseRepresentation
bin111001000001001000…
…0011110001101010001
3102201001100211001100010
41302002100132031101
54001231234043101
6132130013145133
711563200366543
oct1620220361521
9381040731303
10122444440401
1147a237703a8
121b89248b1a9
13b7147629ca
145cd7c53693
1532b98a92d6
hex1c8241e351

122444440401 has 16 divisors (see below), whose sum is σ = 164227743680. Its totient is φ = 81145748160.

The previous prime is 122444440379. The next prime is 122444440403. The reversal of 122444440401 is 104044444221.

It is not a de Polignac number, because 122444440401 - 219 = 122443916113 is a prime.

It is a super-2 number, since 2×1224444404012 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122444440403) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1334271 + ... + 1423083.

It is an arithmetic number, because the mean of its divisors is an integer number (10264233980).

Almost surely, 2122444440401 is an apocalyptic number.

It is an amenable number.

122444440401 is a deficient number, since it is larger than the sum of its proper divisors (41783303279).

122444440401 is a wasteful number, since it uses less digits than its factorization.

122444440401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91536.

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 122444440401 its reverse (104044444221), we get a palindrome (226488884622).

It can be divided in two parts, 1224444 and 40401, that added together give a triangular number (1264845 = T1590).

The spelling of 122444440401 in words is "one hundred twenty-two billion, four hundred forty-four million, four hundred forty thousand, four hundred one".

Divisors: 1 3 181 543 2539 7617 88813 266439 459559 1378677 16075153 48225459 225496207 676488621 40814813467 122444440401