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101340000024 = 23317713498343
BaseRepresentation
bin101111001100001010…
…1011010111100011000
3100200120120002101201020
41132120111122330120
53130021020000044
6114315511522440
710215204534054
oct1363025327430
9320516071636
10101340000024
1139a83873a3a
1217782689420
139730311273
144c94dd4c64
152981bcba19
hex179855af18

101340000024 has 64 divisors (see below), whose sum is σ = 272031229440. Its totient is φ = 31345144320.

The previous prime is 101340000023. The next prime is 101340000101. The reversal of 101340000024 is 420000043101.

It is a junction number, because it is equal to n+sod(n) for n = 101339999958 and 101340000012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101340000023) 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 15 ways as a sum of consecutive naturals, for example, 1720204 + ... + 1778139.

It is an arithmetic number, because the mean of its divisors is an integer number (4250487960).

Almost surely, 2101340000024 is an apocalyptic number.

It is an amenable number.

101340000024 is an abundant number, since it is smaller than the sum of its proper divisors (170691229416).

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

101340000024 is a wasteful number, since it uses less digits than its factorization.

101340000024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3498440 (or 3498436 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 101340000024 its reverse (420000043101), we get a palindrome (521340043125).

The spelling of 101340000024 in words is "one hundred one billion, three hundred forty million, twenty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 71 102 136 142 204 213 284 408 426 568 852 1207 1704 2414 3621 4828 7242 9656 14484 28968 3498343 6996686 10495029 13993372 20990058 27986744 41980116 59471831 83960232 118943662 178415493 237887324 248382353 356830986 475774648 496764706 713661972 745147059 993529412 1427323944 1490294118 1987058824 2980588236 4222500001 5961176472 8445000002 12667500003 16890000004 25335000006 33780000008 50670000012 101340000024