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101141101333 = 1730853192833
BaseRepresentation
bin101111000110001111…
…0101011101100010101
3100200001200211022000001
41132030132223230111
53124114110220313
6114244044451301
710210241114356
oct1361436535425
9320050738001
10101141101333
1139991573458
1217727b49b31
1396cb05132c
144c7681bd2d
15296e4ddadd
hex178c7abb15

101141101333 has 8 divisors (see below), whose sum is σ = 107094604248. Its totient is φ = 95188045824.

The previous prime is 101141101331. The next prime is 101141101339. The reversal of 101141101333 is 333101141101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 510669604 + 100630431729 = 22598^2 + 317223^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 101141101333 - 21 = 101141101331 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101141101333.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101141101331) 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, 428085 + ... + 620917.

It is an arithmetic number, because the mean of its divisors is an integer number (13386825531).

Almost surely, 2101141101333 is an apocalyptic number.

It is an amenable number.

101141101333 is a deficient number, since it is larger than the sum of its proper divisors (5953502915).

101141101333 is a wasteful number, since it uses less digits than its factorization.

101141101333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223703.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 101141101333 its reverse (333101141101), we get a palindrome (434242242434).

The spelling of 101141101333 in words is "one hundred one billion, one hundred forty-one million, one hundred one thousand, three hundred thirty-three".

Divisors: 1 17 30853 192833 524501 3278161 5949476549 101141101333