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109080824200 = 23524731137313
BaseRepresentation
bin110010110010110111…
…0010100100110001000
3101102120000211000012221
41211211232110212020
53241344142333300
6122035552343424
710611060464425
oct1454556244610
9342500730187
10109080824200
1142296310797
1219182b44b74
13a394c4b2ba
1453cb0b4d4c
152c8657e31a
hex1965b94988

109080824200 has 96 divisors (see below), whose sum is σ = 259848725760. Its totient is φ = 42565529600.

The previous prime is 109080824191. The next prime is 109080824221. The reversal of 109080824200 is 2428080901.

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, 2904744 + ... + 2942056.

It is an arithmetic number, because the mean of its divisors is an integer number (2706757560).

Almost surely, 2109080824200 is an apocalyptic number.

109080824200 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 109080824200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129924362880).

109080824200 is an abundant number, since it is smaller than the sum of its proper divisors (150767901560).

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

109080824200 is a wasteful number, since it uses less digits than its factorization.

109080824200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37687 (or 37678 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The spelling of 109080824200 in words is "one hundred nine billion, eighty million, eight hundred twenty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 47 50 94 100 188 200 235 311 376 470 622 940 1175 1244 1555 1880 2350 2488 3110 4700 6220 7775 9400 12440 14617 15550 29234 31100 37313 58468 62200 73085 74626 116936 146170 149252 186565 292340 298504 365425 373130 584680 730850 746260 932825 1461700 1492520 1753711 1865650 2923400 3507422 3731300 7014844 7462600 8768555 11604343 14029688 17537110 23208686 35074220 43842775 46417372 58021715 70148440 87685550 92834744 116043430 175371100 232086860 290108575 350742200 464173720 545404121 580217150 1090808242 1160434300 2181616484 2320868600 2727020605 4363232968 5454041210 10908082420 13635103025 21816164840 27270206050 54540412100 109080824200