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114220010304 = 263422033181
BaseRepresentation
bin110101001100000001…
…0110000101101000000
3101220211012002201020000
41222120002300231000
53332410310312204
6124245535120000
711152323032331
oct1523002605500
9356735081200
10114220010304
1144493244334
121a178073000
13aa0389091a
145757848288
152e8782b039
hex1a980b0b40

114220010304 has 70 divisors (see below), whose sum is σ = 338583907794. Its totient is φ = 38073335040.

The previous prime is 114220010297. The next prime is 114220010321. The reversal of 114220010304 is 403010022411.

It can be written as a sum of positive squares in only one way, i.e., 103395688704 + 10824321600 = 321552^2 + 104040^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 9 ways as a sum of consecutive naturals, for example, 11011407 + ... + 11021774.

Almost surely, 2114220010304 is an apocalyptic number.

It is an amenable number.

114220010304 is an abundant number, since it is smaller than the sum of its proper divisors (224363897490).

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

114220010304 is an equidigital number, since it uses as much as digits as its factorization.

114220010304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22033205 (or 22033186 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 114220010304 its reverse (403010022411), we get a palindrome (517230032715).

The spelling of 114220010304 in words is "one hundred fourteen billion, two hundred twenty million, ten thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 22033181 44066362 66099543 88132724 132199086 176265448 198298629 264398172 352530896 396597258 528796344 594895887 705061792 793194516 1057592688 1189791774 1410123584 1586389032 1784687661 2115185376 2379583548 3172778064 3569375322 4230370752 4759167096 6345556128 7138750644 9518334192 12691112256 14277501288 19036668384 28555002576 38073336768 57110005152 114220010304