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101143342431 = 32413474991583
BaseRepresentation
bin101111000110010011…
…1001110110101011111
3100200001212001011012200
41132030213032311133
53124120143424211
6114244204502543
710210266140235
oct1361447166537
9320055034180
10101143342431
11399928641aa
121772884aa53
1396cb657421
144c76c42955
15296e7d2b56
hex178c9ced5f

101143342431 has 48 divisors (see below), whose sum is σ = 150486336000. Its totient is φ = 65421901440.

The previous prime is 101143342387. The next prime is 101143342439. The reversal of 101143342431 is 134243341101.

It is not a de Polignac number, because 101143342431 - 218 = 101143080287 is a prime.

It is a super-2 number, since 2×1011433424312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101143342395 and 101143342404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101143342439) 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 47 ways as a sum of consecutive naturals, for example, 63892666 + ... + 63894248.

It is an arithmetic number, because the mean of its divisors is an integer number (3135132000).

Almost surely, 2101143342431 is an apocalyptic number.

101143342431 is a deficient number, since it is larger than the sum of its proper divisors (49342993569).

101143342431 is a wasteful number, since it uses less digits than its factorization.

101143342431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2476 (or 2473 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 101143342431 its reverse (134243341101), we get a palindrome (235386683532).

The spelling of 101143342431 in words is "one hundred one billion, one hundred forty-three million, three hundred forty-two thousand, four hundred thirty-one".

Divisors: 1 3 9 41 123 347 369 499 1041 1497 1583 3123 4491 4749 14227 14247 20459 42681 61377 64903 128043 173153 184131 194709 519459 549301 584127 789917 1558377 1647903 2369751 4943709 7099273 7109253 21297819 22521341 32386597 63893457 67564023 97159791 202692069 274101199 291479373 822303597 2466910791 11238149159 33714447477 101143342431