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1213212231 = 327112118297
BaseRepresentation
bin100100001010000…
…0010011001000111
310010112212120022100
41020110002121013
54441040242411
6320215203143
742031063620
oct11024023107
93115776270
101213212231
11572910340
1229a3764b3
1316446c17a
14b71aca47
157179a456
hex48502647

1213212231 has 48 divisors (see below), whose sum is σ = 2195451648. Its totient is φ = 627177600.

The previous prime is 1213212199. The next prime is 1213212239. The reversal of 1213212231 is 1322123121.

1213212231 is a `hidden beast` number, since 121 + 321 + 223 + 1 = 666.

It is not a de Polignac number, because 1213212231 - 25 = 1213212199 is a prime.

It is a super-2 number, since 2×12132122312 = 2943767834895994722, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1213212239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142075 + ... + 150371.

It is an arithmetic number, because the mean of its divisors is an integer number (45738576).

Almost surely, 21213212231 is an apocalyptic number.

1213212231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1213212231 is a deficient number, since it is larger than the sum of its proper divisors (982239417).

1213212231 is a wasteful number, since it uses less digits than its factorization.

1213212231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8532 (or 8529 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 1213212231 is about 34831.1962326877. The cubic root of 1213212231 is about 1066.5443678902.

Adding to 1213212231 its reverse (1322123121), we get a palindrome (2535335352).

It can be divided in two parts, 1213 and 212231, that added together give a square (213444 = 4622).

The spelling of 1213212231 in words is "one billion, two hundred thirteen million, two hundred twelve thousand, two hundred thirty-one".

Divisors: 1 3 7 9 11 21 33 63 77 99 211 231 633 693 1477 1899 2321 4431 6963 8297 13293 16247 20889 24891 48741 58079 74673 91267 146223 174237 273801 522711 638869 821403 1750667 1916607 5252001 5749821 12254669 15756003 19257337 36764007 57772011 110292021 134801359 173316033 404404077 1213212231