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114820953225 = 35211624722279
BaseRepresentation
bin110101011101111011…
…1001011010010001001
3101222101001212202221020
41222323313023102021
53340123131000400
6124425323303053
711203240666446
oct1527367132211
9358331782836
10114820953225
1144771486680
121a30537aa89
13aa9b229754
1457b35989cd
152ec04832a0
hex1abbdcb489

114820953225 has 48 divisors (see below), whose sum is σ = 207137694720. Its totient is φ = 55659355200.

The previous prime is 114820953217. The next prime is 114820953251. The reversal of 114820953225 is 522359028411.

It is not a de Polignac number, because 114820953225 - 23 = 114820953217 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5142636 + ... + 5164914.

It is an arithmetic number, because the mean of its divisors is an integer number (4315368640).

Almost surely, 2114820953225 is an apocalyptic number.

114820953225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114820953225 is a deficient number, since it is larger than the sum of its proper divisors (92316741495).

114820953225 is a wasteful number, since it uses less digits than its factorization.

114820953225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28550 (or 28545 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The spelling of 114820953225 in words is "one hundred fourteen billion, eight hundred twenty million, nine hundred fifty-three thousand, two hundred twenty-five".

Divisors: 1 3 5 11 15 25 33 55 75 165 275 825 6247 18741 22279 31235 66837 68717 93705 111395 156175 206151 245069 334185 343585 468525 556975 735207 1030755 1225345 1670925 1717925 3676035 5153775 6126725 18380175 139176913 417530739 695884565 1530946043 2087653695 3479422825 4592838129 7654730215 10438268475 22964190645 38273651075 114820953225