Search a number
-
+
108326451200 = 2115211192341
BaseRepresentation
bin110010011100011000…
…0100111100000000000
3101100121110022220000012
41210320300213200000
53233323032414300
6121433043444052
710553300433302
oct1447060474000
9340543286005
10108326451200
1141a39504130
1218bb2386628
13a2a4882246
145358c25972
152c4021b435
hex1938c27800

108326451200 has 144 divisors (see below), whose sum is σ = 293002262280. Its totient is φ = 39391232000.

The previous prime is 108326451187. The next prime is 108326451227. The reversal of 108326451200 is 2154623801.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 467030 + ... + 659370.

Almost surely, 2108326451200 is an apocalyptic number.

108326451200 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 108326451200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146501131140).

108326451200 is an abundant number, since it is smaller than the sum of its proper divisors (184675811080).

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

108326451200 is a wasteful number, since it uses less digits than its factorization.

108326451200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192384 (or 192359 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The spelling of 108326451200 in words is "one hundred eight billion, three hundred twenty-six million, four hundred fifty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 128 160 176 200 220 256 275 320 352 400 440 512 550 640 704 800 880 1024 1100 1280 1408 1600 1760 2048 2200 2560 2816 3200 3520 4400 5120 5632 6400 7040 8800 10240 11264 12800 14080 17600 22528 25600 28160 35200 51200 56320 70400 112640 140800 192341 281600 384682 563200 769364 961705 1538728 1923410 2115751 3077456 3846820 4231502 4808525 6154912 7693640 8463004 9617050 10578755 12309824 15387280 16926008 19234100 21157510 24619648 30774560 33852016 38468200 42315020 49239296 52893775 61549120 67704032 76936400 84630040 98478592 105787550 123098240 135408064 153872800 169260080 196957184 211575100 246196480 270816128 307745600 338520160 393914368 423150200 492392960 541632256 615491200 677040320 846300400 984785920 1083264512 1230982400 1354080640 1692600800 1969571840 2166529024 2461964800 2708161280 3385201600 4333058048 4923929600 5416322560 6770403200 9847859200 10832645120 13540806400 21665290240 27081612800 54163225600 108326451200