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101327349000 = 2335337912859
BaseRepresentation
bin101111001011110010…
…1001010010100001000
3100200112200021122202210
41132113211022110020
53130004300132000
6114314340425120
710214662153443
oct1362745122410
9320480248683
10101327349000
1139a77713049
121777a3a81a0
13972a801b57
144c9346065a
152980a2d350
hex179794a508

101327349000 has 128 divisors (see below), whose sum is σ = 324686044800. Its totient is φ = 26290310400.

The previous prime is 101327348989. The next prime is 101327349001. The reversal of 101327349000 is 943723101.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (101327349001) 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 31 ways as a sum of consecutive naturals, for example, 345430 + ... + 567429.

It is an arithmetic number, because the mean of its divisors is an integer number (2536609725).

Almost surely, 2101327349000 is an apocalyptic number.

101327349000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101327349000 is an abundant number, since it is smaller than the sum of its proper divisors (223358695800).

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

101327349000 is a wasteful number, since it uses less digits than its factorization.

101327349000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912920 (or 912906 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The spelling of 101327349000 in words is "one hundred one billion, three hundred twenty-seven million, three hundred forty-nine thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 37 40 50 60 74 75 100 111 120 125 148 150 185 200 222 250 296 300 370 375 444 500 555 600 740 750 888 925 1000 1110 1480 1500 1850 2220 2775 3000 3700 4440 4625 5550 7400 9250 11100 13875 18500 22200 27750 37000 55500 111000 912859 1825718 2738577 3651436 4564295 5477154 7302872 9128590 10954308 13692885 18257180 21908616 22821475 27385770 33775783 36514360 45642950 54771540 67551566 68464425 91285900 101327349 109543080 114107375 135103132 136928850 168878915 182571800 202654698 228214750 270206264 273857700 337757830 342322125 405309396 456429500 506636745 547715400 675515660 684644250 810618792 844394575 912859000 1013273490 1351031320 1369288500 1688789150 2026546980 2533183725 2738577000 3377578300 4053093960 4221972875 5066367450 6755156600 8443945750 10132734900 12665918625 16887891500 20265469800 25331837250 33775783000 50663674500 101327349000