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1014100431341 = 8933733811237
BaseRepresentation
bin11101100000111010001…
…10001001000111101101
310120221120101212112221212
432300131012021013231
5113103334202300331
62053512111404205
7133160232304214
oct16603506110755
93527511775855
101014100431341
1136109428a738
12144658223665
137482463c63a
1437122dc407b
151b5a45d6d2b
hexec1d1891ed

1014100431341 has 8 divisors (see below), whose sum is σ = 1028537859960. Its totient is φ = 999730626048.

The previous prime is 1014100431319. The next prime is 1014100431473. The reversal of 1014100431341 is 1431340014101.

1014100431341 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 15519927241 + 998580504100 = 124579^2 + 999290^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1014100431341 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1014130431341) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16875626 + ... + 16935611.

It is an arithmetic number, because the mean of its divisors is an integer number (128567232495).

Almost surely, 21014100431341 is an apocalyptic number.

It is an amenable number.

1014100431341 is a deficient number, since it is larger than the sum of its proper divisors (14437428619).

1014100431341 is an equidigital number, since it uses as much as digits as its factorization.

1014100431341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33811663.

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 1014100431341 its reverse (1431340014101), we get a palindrome (2445440445442).

It can be divided in two parts, 1014100 and 431341, that added together give a palindrome (1445441).

The spelling of 1014100431341 in words is "one trillion, fourteen billion, one hundred million, four hundred thirty-one thousand, three hundred forty-one".

Divisors: 1 89 337 29993 33811237 3009200093 11394386869 1014100431341