Search a number
-
+
10301330403414 = 2331031852091047
BaseRepresentation
bin1001010111100111011100…
…1000111011000001010110
31100110210112102112202222000
42111321313020323001112
52322234111040402124
633524211005220130
72112150366456051
oct225716710730126
940423472482860
1010301330403414
113311851504076
1211a4572861646
135995467a888b
14278830c27a98
1512ce642ea6c9
hex95e7723b056

10301330403414 has 32 divisors (see below), whose sum is σ = 23114096279040. Its totient is φ = 3400439160456.

The previous prime is 10301330403407. The next prime is 10301330403433. The reversal of 10301330403414 is 41430403310301.

10301330403414 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 13 + 304 + 0 + 341 + 4 = 666.

It is a super-2 number, since 2×103013304034142 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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, 926039962 + ... + 926051085.

It is an arithmetic number, because the mean of its divisors is an integer number (722315508720).

Almost surely, 210301330403414 is an apocalyptic number.

10301330403414 is an abundant number, since it is smaller than the sum of its proper divisors (12812765875626).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10301330403414 is a wasteful number, since it uses less digits than its factorization.

10301330403414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1852091161 (or 1852091155 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 10301330403414 its reverse (41430403310301), we get a palindrome (51731733713715).

The spelling of 10301330403414 in words is "ten trillion, three hundred one billion, three hundred thirty million, four hundred three thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 103 206 309 618 927 1854 2781 5562 1852091047 3704182094 5556273141 11112546282 16668819423 33337638846 50006458269 100012916538 190765377841 381530755682 572296133523 1144592267046 1716888400569 3433776801138 5150665201707 10301330403414