Search a number
-
+
30233131331221 = 721363537470761
BaseRepresentation
bin1101101111111001100110…
…00011011010111010010101
310222001020222220102110021001
412313330303003122322111
512430314423110044341
6144144524144423301
76240162115121500
oct667746303327225
9128036886373231
1030233131331221
1196a6887507825
123483472617b31
1313b3c8379b410
14767411708137
15376676c0dd31
hex1b7f330dae95

30233131331221 has 24 divisors (see below), whose sum is σ = 37880438954904. Its totient is φ = 23916950830080.

The previous prime is 30233131331159. The next prime is 30233131331261. The reversal of 30233131331221 is 12213313133203.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6227590124196 + 24005541207025 = 2495514^2 + 4899545^2 .

It is not a de Polignac number, because 30233131331221 - 213 = 30233131323029 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 30233131331221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30233131331261) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 311481 + ... + 7782241.

It is an arithmetic number, because the mean of its divisors is an integer number (1578351623121).

Almost surely, 230233131331221 is an apocalyptic number.

It is an amenable number.

30233131331221 is a deficient number, since it is larger than the sum of its proper divisors (7647307623683).

30233131331221 is a wasteful number, since it uses less digits than its factorization.

30233131331221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7477141 (or 7477134 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 28.

Adding to 30233131331221 its reverse (12213313133203), we get a palindrome (42446444464424).

It can be divided in two parts, 3023313 and 1331221, that added together give a palindrome (4354534).

The spelling of 30233131331221 in words is "thirty trillion, two hundred thirty-three billion, one hundred thirty-one million, three hundred thirty-one thousand, two hundred twenty-one".

Divisors: 1 7 13 49 91 637 6353 44471 82589 311297 578123 4046861 7470761 52295327 97119893 366067289 679839251 4758874757 47461744633 332232212431 617002680229 2325625487017 4319018761603 30233131331221