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114112500225 = 35243612512311
BaseRepresentation
bin110101001000110100…
…0101001001000000001
3101220112200210122010020
41222101220221020001
53332200300001400
6124231134524053
711146546151013
oct1522150511001
9356480718106
10114112500225
1144438593429
121a148066629
13a9b751a9a9
1457474601b3
152e7d1912a0
hex1a91a29201

114112500225 has 96 divisors (see below), whose sum is σ = 197085385728. Its totient is φ = 58212000000.

The previous prime is 114112500211. The next prime is 114112500277. The reversal of 114112500225 is 522005211411.

It is a happy number.

It is not a de Polignac number, because 114112500225 - 25 = 114112500193 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 114112500195 and 114112500204.

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 95 ways as a sum of consecutive naturals, for example, 49376820 + ... + 49379130.

It is an arithmetic number, because the mean of its divisors is an integer number (2052972768).

Almost surely, 2114112500225 is an apocalyptic number.

114112500225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114112500225 is a deficient number, since it is larger than the sum of its proper divisors (82972885503).

114112500225 is a wasteful number, since it uses less digits than its factorization.

114112500225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2679 (or 2674 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

Adding to 114112500225 its reverse (522005211411), we get a palindrome (636117711636).

The spelling of 114112500225 in words is "one hundred fourteen billion, one hundred twelve million, five hundred thousand, two hundred twenty-five".

Divisors: 1 3 5 15 25 43 61 75 129 183 215 251 305 645 753 915 1075 1255 1525 2311 2623 3225 3765 4575 6275 6933 7869 10793 11555 13115 15311 18825 32379 34665 39345 45933 53965 57775 65575 76555 99373 140971 161895 173325 196725 229665 269825 298119 382775 422913 496865 580061 658373 704855 809475 1148325 1490595 1740183 1975119 2114565 2484325 2900305 3291865 3524275 6061753 7452975 8700915 9875595 10572825 14501525 16459325 18185259 24942623 30308765 35383721 43504575 49377975 74827869 90926295 106151163 124713115 151543825 176918605 374139345 454631475 530755815 623565575 884593025 1521500003 1870696725 2653779075 4564500009 7607500015 22822500045 38037500075 114112500225