Search a number
-
+
321131020133 = 71126150912211
BaseRepresentation
bin1001010110001001110…
…01100111111101100101
31010200220011200001221102
410223010321213331211
520230134020121013
6403305304125445
732125632430130
oct4530471477545
91120804601842
10321131020133
111142110a8500
12522a2166885
1324389928611
141178571d217
15854788bd58
hex4ac4e67f65

321131020133 has 48 divisors (see below), whose sum is σ = 410856620160. Its totient is φ = 245626128000.

The previous prime is 321131020129. The next prime is 321131020139. The reversal of 321131020133 is 331020131123.

It is not a de Polignac number, because 321131020133 - 22 = 321131020129 is a prime.

It is a super-2 number, since 2×3211310201332 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321131020139) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26292398 + ... + 26304608.

It is an arithmetic number, because the mean of its divisors is an integer number (8559512920).

Almost surely, 2321131020133 is an apocalyptic number.

It is an amenable number.

321131020133 is a deficient number, since it is larger than the sum of its proper divisors (89725600027).

321131020133 is a wasteful number, since it uses less digits than its factorization.

321131020133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12810 (or 12799 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 321131020133 its reverse (331020131123), we get a palindrome (652151151256).

The spelling of 321131020133 in words is "three hundred twenty-one billion, one hundred thirty-one million, twenty thousand, one hundred thirty-three".

Divisors: 1 7 11 61 77 121 427 509 671 847 3563 4697 5599 7381 12211 31049 39193 51667 61589 85477 134321 217343 341539 431123 744871 940247 1477531 2390773 3756929 5214097 6215399 8193581 10342717 26298503 43507793 57355067 68369389 90129391 379139339 478585723 630905737 752063279 2653975373 4170532729 5264442953 29193729103 45875860019 321131020133