Search a number
-
+
32322133330331 = 132310712754714543
BaseRepresentation
bin1110101100101100101010…
…10001101000100110011011
311020102222002001020022111112
413112112111101220212123
513214031212113032311
6152424325535250535
76544124411126525
oct726262521504633
9136388061208445
1032322133330331
11a3318156a0879
1237602b5079a4b
131505c6c167790
147da584708a15
153b0b8d62e28b
hex1d659546899b

32322133330331 has 64 divisors (see below), whose sum is σ = 37020086304768. Its totient is φ = 27996073193088.

The previous prime is 32322133330309. The next prime is 32322133330343. The reversal of 32322133330331 is 13303333122323.

It is a happy number.

It is not a de Polignac number, because 32322133330331 - 210 = 32322133329307 is a prime.

It is a super-2 number, since 2×323221333303312 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (32322133330301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2222514446 + ... + 2222528988.

It is an arithmetic number, because the mean of its divisors is an integer number (578438848512).

Almost surely, 232322133330331 is an apocalyptic number.

32322133330331 is a deficient number, since it is larger than the sum of its proper divisors (4697952974437).

32322133330331 is a wasteful number, since it uses less digits than its factorization.

32322133330331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15360.

The product of its (nonzero) digits is 52488, while the sum is 32.

Adding to 32322133330331 its reverse (13303333122323), we get a palindrome (45625466452654).

The spelling of 32322133330331 in words is "thirty-two trillion, three hundred twenty-two billion, one hundred thirty-three million, three hundred thirty thousand, three hundred thirty-one".

Divisors: 1 13 23 107 127 299 547 1391 1651 2461 2921 7111 12581 13589 14543 31993 37973 58529 69469 163553 176657 189059 312547 334489 760877 903097 1346167 1556101 1597787 1846961 4063111 4348357 7433183 7955021 17500171 20229313 20771231 24010493 35790323 42480103 96631379 103415273 170963209 182965483 197624827 465274199 552241339 851187247 1010287667 2222521717 2378551279 2569122751 4545371021 11065434211 13133739671 19577306681 23236616341 59089823273 108100780369 254504986853 302076012433 1405310144797 2486317948487 32322133330331