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21221232144231 = 371010534864011
BaseRepresentation
bin1001101001100111101000…
…00000001110111101100111
32210010201201011012022000110
410310303310000032331213
510240142040412103411
6113044522141144103
74320116625666030
oct464636400167547
983121634168013
1021221232144231
116841968344369
12246899785b033
13bac1cc6137a2
14535182567a87
1526c02da772a6
hex134cf400ef67

21221232144231 has 8 divisors (see below), whose sum is σ = 32337115648384. Its totient is φ = 12126418368120.

The previous prime is 21221232144193. The next prime is 21221232144293. The reversal of 21221232144231 is 13244123212212.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 21221232144231 - 210 = 21221232143207 is a prime.

It is a super-4 number, since 4×212212321442314 (a number of 54 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21221232144131) 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 7 ways as a sum of consecutive naturals, for example, 505267431985 + ... + 505267432026.

It is an arithmetic number, because the mean of its divisors is an integer number (4042139456048).

Almost surely, 221221232144231 is an apocalyptic number.

21221232144231 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

21221232144231 is a deficient number, since it is larger than the sum of its proper divisors (11115883504153).

21221232144231 is a wasteful number, since it uses less digits than its factorization.

21221232144231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010534864021.

The product of its digits is 9216, while the sum is 30.

Adding to 21221232144231 its reverse (13244123212212), we get a palindrome (34465355356443).

The spelling of 21221232144231 in words is "twenty-one trillion, two hundred twenty-one billion, two hundred thirty-two million, one hundred forty-four thousand, two hundred thirty-one".

Divisors: 1 3 7 21 1010534864011 3031604592033 7073744048077 21221232144231