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10231340412221 = 1011091741533809
BaseRepresentation
bin1001010011100010101101…
…1010010010110100111101
31100020002212201000211120222
42110320223122102310331
52320112241121142341
633432113552551125
72104122103403435
oct224705332226475
940202781024528
1010231340412221
1132950a5a28845
121192a9b2524a5
13592a71456ac6
142752b16992c5
1512b219a1544b
hex94e2b692d3d

10231340412221 has 16 divisors (see below), whose sum is σ = 10433444564400. Its totient is φ = 10031319936000.

The previous prime is 10231340412173. The next prime is 10231340412259. The reversal of 10231340412221 is 12221404313201.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1215649579225 + 9015690832996 = 1102565^2 + 3002614^2 .

It is a cyclic number.

It is not a de Polignac number, because 10231340412221 - 218 = 10231340150077 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10231340412721) 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 15 ways as a sum of consecutive naturals, for example, 18899765 + ... + 19433573.

It is an arithmetic number, because the mean of its divisors is an integer number (652090285275).

Almost surely, 210231340412221 is an apocalyptic number.

It is an amenable number.

10231340412221 is a deficient number, since it is larger than the sum of its proper divisors (202104152179).

10231340412221 is a wasteful number, since it uses less digits than its factorization.

10231340412221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535760.

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 10231340412221 its reverse (12221404313201), we get a palindrome (22452744725422).

The spelling of 10231340412221 in words is "ten trillion, two hundred thirty-one billion, three hundred forty million, four hundred twelve thousand, two hundred twenty-one".

Divisors: 1 101 109 1741 11009 175841 189769 533809 19166669 53914709 58185181 929361469 5876703281 93865508369 101300400121 10231340412221