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114213411200 = 275275098813
BaseRepresentation
bin110101001011110100…
…1100101100110000000
3101220210201200102221202
41222113221211212000
53332402113124300
6124245141440332
711152212656060
oct1522751454600
9356721612852
10114213411200
114448a547329
121a175a100a8
13aa023c0025
145756a0b3a0
152e86e75ad5
hex1a97a65980

114213411200 has 96 divisors (see below), whose sum is σ = 322448997360. Its totient is φ = 39158876160.

The previous prime is 114213411199. The next prime is 114213411229. The reversal of 114213411200 is 2114312411.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 11 ways as a sum of consecutive naturals, for example, 2527007 + ... + 2571806.

Almost surely, 2114213411200 is an apocalyptic number.

114213411200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114213411200 is an abundant number, since it is smaller than the sum of its proper divisors (208235586160).

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

114213411200 is an equidigital number, since it uses as much as digits as its factorization.

114213411200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5098844 (or 5098827 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 114213411200 its reverse (2114312411), we get a palindrome (116327723611).

The spelling of 114213411200 in words is "one hundred fourteen billion, two hundred thirteen million, four hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 128 140 160 175 200 224 280 320 350 400 448 560 640 700 800 896 1120 1400 1600 2240 2800 3200 4480 5600 11200 22400 5098813 10197626 20395252 25494065 35691691 40790504 50988130 71383382 81581008 101976260 127470325 142766764 163162016 178458455 203952520 254940650 285533528 326324032 356916910 407905040 509881300 571067056 652648064 713833820 815810080 892292275 1019762600 1142134112 1427667640 1631620160 1784584550 2039525200 2284268224 2855335280 3263240320 3569169100 4079050400 4568536448 5710670560 7138338200 8158100800 11421341120 14276676400 16316201600 22842682240 28553352800 57106705600 114213411200