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116301577300 = 225213188710009
BaseRepresentation
bin110110001010000011…
…1010011110001010100
3102010012020221021022221
41230110013103301110
53401141200433200
6125232254232124
711255030044636
oct1542407236124
9363166837287
10116301577300
1145361232437
121a6591b5644
13ac75bc667c
1458b4096a56
15305a45191a
hex1b141d3c54

116301577300 has 72 divisors (see below), whose sum is σ = 254613078720. Its totient is φ = 46108857600.

The previous prime is 116301577297. The next prime is 116301577333. The reversal of 116301577300 is 3775103611.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 11614696 + ... + 11624704.

It is an arithmetic number, because the mean of its divisors is an integer number (3536292760).

Almost surely, 2116301577300 is an apocalyptic number.

116301577300 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 116301577300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127306539360).

116301577300 is an abundant number, since it is smaller than the sum of its proper divisors (138311501420).

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

116301577300 is a wasteful number, since it uses less digits than its factorization.

116301577300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11041 (or 11034 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 34.

The spelling of 116301577300 in words is "one hundred sixteen billion, three hundred one million, five hundred seventy-seven thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 131 262 524 655 887 1310 1774 2620 3275 3548 4435 6550 8870 10009 13100 17740 20018 22175 40036 44350 50045 88700 100090 116197 200180 232394 250225 464788 500450 580985 1000900 1161970 1311179 2323940 2622358 2904925 5244716 5809850 6555895 8877983 11619700 13111790 17755966 26223580 32779475 35511932 44389915 65558950 88779830 131117900 177559660 221949575 443899150 887798300 1163015773 2326031546 4652063092 5815078865 11630157730 23260315460 29075394325 58150788650 116301577300