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101134102320 = 24325140464031
BaseRepresentation
bin101111000110000001…
…1111110111100110000
3100200001012122201011100
41132030003332330300
53124110312233240
6114243234444400
710210124454156
oct1361403767460
9320035581140
10101134102320
1139988622a49
1217725733700
1396c97706c4
144c759193d6
15296daa9e30
hex178c0fef30

101134102320 has 60 divisors (see below), whose sum is σ = 339642029376. Its totient is φ = 26969093760.

The previous prime is 101134102313. The next prime is 101134102361. The reversal of 101134102320 is 23201431101.

101134102320 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 341 + 0 + 2 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101134102293 and 101134102302.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70231296 + ... + 70232735.

Almost surely, 2101134102320 is an apocalyptic number.

101134102320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101134102320 is an abundant number, since it is smaller than the sum of its proper divisors (238507927056).

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

101134102320 is a wasteful number, since it uses less digits than its factorization.

101134102320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140464050 (or 140464041 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 101134102320 its reverse (23201431101), we get a palindrome (124335533421).

The spelling of 101134102320 in words is "one hundred one billion, one hundred thirty-four million, one hundred two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 140464031 280928062 421392093 561856124 702320155 842784186 1123712248 1264176279 1404640310 1685568372 2106960465 2247424496 2528352558 2809280620 3371136744 4213920930 5056705116 5618561240 6320881395 6742273488 8427841860 10113410232 11237122480 12641762790 16855683720 20226820464 25283525580 33711367440 50567051160 101134102320