Search a number
-
+
331230302221 = 71359894391579
BaseRepresentation
bin1001101000111101101…
…11010101000000001101
31011122222000020202111011
410310132313111000031
520411324424132341
6412055354525221
732634124054210
oct4643667250015
91148860222434
10331230302221
11118523963625
1254240436811
1325309067890
1412062b27777
15893930bb81
hex4d1edd500d

331230302221 has 64 divisors (see below), whose sum is σ = 420456960000. Its totient is φ = 253994476032.

The previous prime is 331230302209. The next prime is 331230302237. The reversal of 331230302221 is 122203032133.

It is a cyclic number.

It is not a de Polignac number, because 331230302221 - 27 = 331230302093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 331230302192 and 331230302201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331230302281) 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 63 ways as a sum of consecutive naturals, for example, 209771410 + ... + 209772988.

It is an arithmetic number, because the mean of its divisors is an integer number (6569640000).

Almost surely, 2331230302221 is an apocalyptic number.

It is an amenable number.

331230302221 is a deficient number, since it is larger than the sum of its proper divisors (89226657779).

331230302221 is a wasteful number, since it uses less digits than its factorization.

331230302221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2186.

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 331230302221 its reverse (122203032133), we get a palindrome (453433334354).

The spelling of 331230302221 in words is "three hundred thirty-one billion, two hundred thirty million, three hundred two thousand, two hundred twenty-one".

Divisors: 1 7 13 59 89 91 413 439 623 767 1157 1579 3073 5251 5369 5707 8099 11053 20527 25901 36757 39071 39949 68263 93161 140531 143689 181307 273497 336713 477841 507923 652127 693181 983717 1211093 1826903 2305189 2356991 3555461 4852267 8291329 8477651 9011353 12788321 16136323 29967457 40897679 58039303 61693109 63079471 107787277 209772199 286283753 431851763 531669827 754510939 802010417 3639893431 3721688789 5614072919 25479254017 47318614603 331230302221