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101141441413 = 290934768457
BaseRepresentation
bin101111000110001111…
…1111110101110000101
3100200001201110120111121
41132030133332232011
53124114202111123
6114244100033541
710210244032015
oct1361437765605
9320051416447
10101141441413
1139991785a11
12177280928b1
1396cb14006c
144c768a9c45
15296e55975d
hex178c7feb85

101141441413 has 4 divisors (see below), whose sum is σ = 101176212780. Its totient is φ = 101106670048.

The previous prime is 101141441411. The next prime is 101141441417. The reversal of 101141441413 is 314144141101.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 93953284324 + 7188157089 = 306518^2 + 84783^2 .

It is a cyclic number.

It is not a de Polignac number, because 101141441413 - 21 = 101141441411 is a prime.

It is a super-2 number, since 2×1011414414132 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101141441411) 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 3 ways as a sum of consecutive naturals, for example, 17381320 + ... + 17387137.

It is an arithmetic number, because the mean of its divisors is an integer number (25294053195).

Almost surely, 2101141441413 is an apocalyptic number.

It is an amenable number.

101141441413 is a deficient number, since it is larger than the sum of its proper divisors (34771367).

101141441413 is an equidigital number, since it uses as much as digits as its factorization.

101141441413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34771366.

The product of its (nonzero) digits is 768, while the sum is 25.

Adding to 101141441413 its reverse (314144141101), we get a palindrome (415285582514).

The spelling of 101141441413 in words is "one hundred one billion, one hundred forty-one million, four hundred forty-one thousand, four hundred thirteen".

Divisors: 1 2909 34768457 101141441413