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20310144015441 = 372612264987623
BaseRepresentation
bin1001001111000110100101…
…11010110101110001010001
32122220122000212010220120110
410213203102322311301101
510130230133331443231
6111110203520431533
74164234205452300
oct447432272656121
978818025126513
1020310144015441
1165205358a3275
1223402aa1785a9
13b443138b4a37
145030326d0437
152534a7d9e046
hex1278d2eb5c51

20310144015441 has 24 divisors (see below), whose sum is σ = 32017865052864. Its totient is φ = 11415537614880.

The previous prime is 20310144015407. The next prime is 20310144015461. The reversal of 20310144015441 is 14451044101302.

It is not a de Polignac number, because 20310144015441 - 27 = 20310144015313 is a prime.

It is a super-3 number, since 3×203101440154413 (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20310144015399 and 20310144015408.

It is not an unprimeable number, because it can be changed into a prime (20310144015461) 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 23 ways as a sum of consecutive naturals, for example, 1132484845 + ... + 1132502778.

It is an arithmetic number, because the mean of its divisors is an integer number (1334077710536).

Almost surely, 220310144015441 is an apocalyptic number.

20310144015441 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20310144015441 is a deficient number, since it is larger than the sum of its proper divisors (11707721037423).

20310144015441 is a wasteful number, since it uses less digits than its factorization.

20310144015441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2264987701 (or 2264987694 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 20310144015441 its reverse (14451044101302), we get a palindrome (34761188116743).

The spelling of 20310144015441 in words is "twenty trillion, three hundred ten billion, one hundred forty-four million, fifteen thousand, four hundred forty-one".

Divisors: 1 3 7 21 49 61 147 183 427 1281 2989 8967 2264987623 6794962869 15854913361 47564740083 110984393527 138164245003 332953180581 414492735009 967149715021 2901449145063 6770048005147 20310144015441