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101042340231 = 3773313721011
BaseRepresentation
bin101111000011010010…
…1111100000110000111
3100122210210222201020110
41132012211330012013
53123413314341411
6114230200004103
710204631502210
oct1360645740607
9318723881213
10101042340231
1139940848808
12176baa60633
1396b3752701
144c67670407
1529659d12a6
hex178697c187

101042340231 has 32 divisors (see below), whose sum is σ = 156135633408. Its totient is φ = 56926679040.

The previous prime is 101042340209. The next prime is 101042340239. The reversal of 101042340231 is 132043240101.

It is not a de Polignac number, because 101042340231 - 27 = 101042340103 is a prime.

It is a super-2 number, since 2×1010423402312 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 101042340198 and 101042340207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101042340239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4798516 + ... + 4819526.

It is an arithmetic number, because the mean of its divisors is an integer number (4879238544).

Almost surely, 2101042340231 is an apocalyptic number.

101042340231 is a deficient number, since it is larger than the sum of its proper divisors (55093293177).

101042340231 is a wasteful number, since it uses less digits than its factorization.

101042340231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24231.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 101042340231 its reverse (132043240101), we get a palindrome (233085580332).

The spelling of 101042340231 in words is "one hundred one billion, forty-two million, three hundred forty thousand, two hundred thirty-one".

Divisors: 1 3 7 21 73 219 511 1533 3137 9411 21011 21959 63033 65877 147077 229001 441231 687003 1533803 1603007 4601409 4809021 10736621 32209863 65911507 197734521 461380549 1384141647 4811540011 14434620033 33680780077 101042340231