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1230331104405 = 325132103130093
BaseRepresentation
bin10001111001110101011…
…100101100110010010101
311100121200220000212012200
4101321311130230302111
5130124204230320110
62341112321235113
7154613515556604
oct21716534546225
94317626025180
101230331104405
11434864919827
1217a543492a99
138c03444b470
1443796921a3b
152200c9196c0
hex11e7572cc95

1230331104405 has 24 divisors (see below), whose sum is σ = 2296618062648. Its totient is φ = 605701466496.

The previous prime is 1230331104403. The next prime is 1230331104421. The reversal of 1230331104405 is 5044011330321.

It is a happy number.

1230331104405 is a `hidden beast` number, since 1 + 2 + 303 + 311 + 0 + 4 + 40 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1784978001 + 1228546126404 = 42249^2 + 1108398^2 .

It is not a de Polignac number, because 1230331104405 - 21 = 1230331104403 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1230331104403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1051564462 + ... + 1051565631.

It is an arithmetic number, because the mean of its divisors is an integer number (95692419277).

Almost surely, 21230331104405 is an apocalyptic number.

1230331104405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1230331104405 is a deficient number, since it is larger than the sum of its proper divisors (1066286958243).

1230331104405 is a wasteful number, since it uses less digits than its factorization.

1230331104405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2103130117 (or 2103130114 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 1230331104405 its reverse (5044011330321), we get a palindrome (6274342434726).

The spelling of 1230331104405 in words is "one trillion, two hundred thirty billion, three hundred thirty-one million, one hundred four thousand, four hundred five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 585 2103130093 6309390279 10515650465 18928170837 27340691209 31546951395 82022073627 94640854185 136703456045 246066220881 410110368135 1230331104405