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103349276000 = 255383311293
BaseRepresentation
bin110000001000000011…
…0001100110101100000
3100212202120220012011222
41200100012030311200
53143124403313000
6115251125354212
710316043231365
oct1402006146540
9325676805158
10103349276000
113a914a767a3
1218043568968
139990685769
145005bc646c
152a4d2c2a85
hex181018cd60

103349276000 has 96 divisors (see below), whose sum is σ = 256989384288. Its totient is φ = 40841510400.

The previous prime is 103349275999. The next prime is 103349276027. The reversal of 103349276000 is 672943301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176354 + ... + 487646.

It is an arithmetic number, because the mean of its divisors is an integer number (2676972753).

Almost surely, 2103349276000 is an apocalyptic number.

103349276000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103349276000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128494692144).

103349276000 is an abundant number, since it is smaller than the sum of its proper divisors (153640108288).

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

103349276000 is an equidigital number, since it uses as much as digits as its factorization.

103349276000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311401 (or 311383 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 35.

The spelling of 103349276000 in words is "one hundred three billion, three hundred forty-nine million, two hundred seventy-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 83 100 125 160 166 200 250 332 400 415 500 664 800 830 1000 1328 1660 2000 2075 2656 3320 4000 4150 6640 8300 10375 13280 16600 20750 33200 41500 66400 83000 166000 311293 332000 622586 1245172 1556465 2490344 3112930 4980688 6225860 7782325 9961376 12451720 15564650 24903440 25837319 31129300 38911625 49806880 51674638 62258600 77823250 103349276 124517200 129186595 155646500 206698552 249034400 258373190 311293000 413397104 516746380 622586000 645932975 826794208 1033492760 1245172000 1291865950 2066985520 2583731900 3229664875 4133971040 5167463800 6459329750 10334927600 12918659500 20669855200 25837319000 51674638000 103349276000