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10042210420331 = 431103211731439
BaseRepresentation
bin1001001000100010001001…
…1000101000011001101011
31022120000200220120202222112
42102020202120220121223
52304012421331422311
633205154444512535
72054345223114245
oct222104230503153
938500626522875
1010042210420331
113221971a89621
1211622b7b4b74b
1357ac9014a3bb
1426a08d0cb095
1512634aa0428b
hex9222262866b

10042210420331 has 8 divisors (see below), whose sum is σ = 10285066429440. Its totient is φ = 9799777876392.

The previous prime is 10042210420327. The next prime is 10042210420337. The reversal of 10042210420331 is 13302401224001.

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

It is a cyclic number.

It is not a de Polignac number, because 10042210420331 - 22 = 10042210420327 is a prime.

It is a super-2 number, since 2×100422104203312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10042210420297 and 10042210420306.

It is not an unprimeable number, because it can be changed into a prime (10042210420337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105818291 + ... + 105913148.

It is an arithmetic number, because the mean of its divisors is an integer number (1285633303680).

Almost surely, 210042210420331 is an apocalyptic number.

10042210420331 is a deficient number, since it is larger than the sum of its proper divisors (242856009109).

10042210420331 is a wasteful number, since it uses less digits than its factorization.

10042210420331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211732585.

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 10042210420331 its reverse (13302401224001), we get a palindrome (23344611644332).

The spelling of 10042210420331 in words is "ten trillion, forty-two billion, two hundred ten million, four hundred twenty thousand, three hundred thirty-one".

Divisors: 1 43 1103 47429 211731439 9104451877 233539777217 10042210420331