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101331010023323 = 61181547148111329
BaseRepresentation
bin10111000010100011110110…
…110110110110111110011011
3111021210011001022111101102012
4113002203312312312332123
5101240201402031221243
6555302453502500135
730225631614521123
oct2702436666667633
9437704038441365
10101331010023323
112a318270511913
12b44676629464b
13447061c9419c2
141b04638a01c83
15baacbad2ed18
hex5c28f6db6f9b

101331010023323 has 32 divisors (see below), whose sum is σ = 103829735929920. Its totient is φ = 98862446592000.

The previous prime is 101331010023317. The next prime is 101331010023367. The reversal of 101331010023323 is 323320010133101.

It is a cyclic number.

It is not a de Polignac number, because 101331010023323 - 220 = 101331008974747 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101331010020323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8944385723 + ... + 8944397051.

It is an arithmetic number, because the mean of its divisors is an integer number (3244679247810).

Almost surely, 2101331010023323 is an apocalyptic number.

101331010023323 is a deficient number, since it is larger than the sum of its proper divisors (2498725906597).

101331010023323 is a wasteful number, since it uses less digits than its factorization.

101331010023323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13599.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 101331010023323 its reverse (323320010133101), we get a palindrome (424651020156424).

The spelling of 101331010023323 in words is "one hundred one trillion, three hundred thirty-one billion, ten million, twenty-three thousand, three hundred twenty-three".

Divisors: 1 61 181 547 1481 11041 11329 33367 90341 99007 268061 691069 810107 2050549 6039427 6196963 16351721 16778249 49416527 125083489 146629367 378014743 1023473189 1121650303 3036863069 8944391387 9177702203 68420668483 185248647209 559839834383 1661164098743 101331010023323