Search a number
-
+
22321033012322 = 2112414679014833
BaseRepresentation
bin1010001001101000001010…
…01111100110010001100010
32221000212111011120010010022
411010310011033212101202
510411201433422343242
6115250050242433442
74462433002063052
oct504640517462142
987025434503108
1022321033012322
11712632a255630
122605b70962882
13c5bb31079915
145724b53d7562
1528a94bce10d2
hex144d053e6462

22321033012322 has 32 divisors (see below), whose sum is σ = 36755425422144. Its totient is φ = 10082188108800.

The previous prime is 22321033012321. The next prime is 22321033012357.

22321033012322 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×223210330123223 (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22321033012291 and 22321033012300.

It is not an unprimeable number, because it can be changed into a prime (22321033012321) 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 15 ways as a sum of consecutive naturals, for example, 2031383 + ... + 6983450.

It is an arithmetic number, because the mean of its divisors is an integer number (1148607044442).

Almost surely, 222321033012322 is an apocalyptic number.

22321033012322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22321033012322 is a deficient number, since it is larger than the sum of its proper divisors (14434392409822).

22321033012322 is a wasteful number, since it uses less digits than its factorization.

22321033012322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9015554.

The product of its (nonzero) digits is 5184, while the sum is 26.

It can be divided in two parts, 2232103 and 3012322, that added together give a palindrome (5244425).

The spelling of 22321033012322 in words is "twenty-two trillion, three hundred twenty-one billion, thirty-three million, twelve thousand, three hundred twenty-two".

Divisors: 1 2 11 22 241 467 482 934 2651 5137 5302 10274 112547 225094 1238017 2476034 9014833 18029666 99163163 198326326 2172574753 4209927011 4345149506 8419854022 23898322283 46309197121 47796644566 92618394242 1014592409651 2029184819302 11160516506161 22321033012322