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101005336140 = 223510915444241
BaseRepresentation
bin101111000010001100…
…0110001111001001100
3100122201020100201011120
41132010120301321030
53123324331224030
6114222354520540
710204002122442
oct1360430617114
9318636321146
10101005336140
1139921974015
12176aa596150
1396a8b976b7
144c6279ab92
152962622010
hex1784631e4c

101005336140 has 48 divisors (see below), whose sum is σ = 285409592160. Its totient is φ = 26687646720.

The previous prime is 101005336129. The next prime is 101005336141. The reversal of 101005336140 is 41633500101.

It is a self number, because there is not a number n which added to its sum of digits gives 101005336140.

It is not an unprimeable number, because it can be changed into a prime (101005336141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7715581 + ... + 7728660.

It is an arithmetic number, because the mean of its divisors is an integer number (5946033170).

Almost surely, 2101005336140 is an apocalyptic number.

101005336140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101005336140 is an abundant number, since it is smaller than the sum of its proper divisors (184404256020).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101005336140 is a wasteful number, since it uses less digits than its factorization.

101005336140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15444362 (or 15444360 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 101005336140 its reverse (41633500101), we get a palindrome (142638836241).

The spelling of 101005336140 in words is "one hundred one billion, five million, three hundred thirty-six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 109 218 327 436 545 654 1090 1308 1635 2180 3270 6540 15444241 30888482 46332723 61776964 77221205 92665446 154442410 185330892 231663615 308884820 463327230 926654460 1683422269 3366844538 5050266807 6733689076 8417111345 10100533614 16834222690 20201067228 25251334035 33668445380 50502668070 101005336140