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10242331220231 = 1141151150399131
BaseRepresentation
bin1001010100001011101010…
…0000111001100100000111
31100021011020200011201210022
42111002322200321210013
52320302243243021411
633441132332045355
72104661341623455
oct225027240714407
940234220151708
1010242331220231
113299825a58550
12119504800385b
13593b034b35b6
14275a352559d5
1512b65e88aedb
hex950ba839907

10242331220231 has 16 divisors (see below), whose sum is σ = 11521776704256. Its totient is φ = 9023947800000.

The previous prime is 10242331220213. The next prime is 10242331220239. The reversal of 10242331220231 is 13202213324201.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10242331220231 is a prime.

It is a super-2 number, since 2×102423312202312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10242331220231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10242331220239) 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 15 ways as a sum of consecutive naturals, for example, 75131465 + ... + 75267666.

It is an arithmetic number, because the mean of its divisors is an integer number (720111044016).

Almost surely, 210242331220231 is an apocalyptic number.

10242331220231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10242331220231 is a deficient number, since it is larger than the sum of its proper divisors (1279445484025).

10242331220231 is a wasteful number, since it uses less digits than its factorization.

10242331220231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150399334.

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 10242331220231 its reverse (13202213324201), we get a palindrome (23444544544432).

The spelling of 10242331220231 in words is "ten trillion, two hundred forty-two billion, three hundred thirty-one million, two hundred twenty thousand, two hundred thirty-one".

Divisors: 1 11 41 151 451 1661 6191 68101 150399131 1654390441 6166364371 22710268781 67830008081 249812956591 931121020021 10242331220231