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114142211300 = 22521326753977
BaseRepresentation
bin110101001001101100…
…1111110110011100100
3101220121202201010001102
41222103121332303210
53332230401230200
6124234115415232
711150356534145
oct1522331766344
9356552633042
10114142211300
1144453336837
121a155bb4518
13a9c0721300
14574b395acc
152e80aae6d5
hex1a9367ece4

114142211300 has 54 divisors (see below), whose sum is σ = 268207220358. Its totient is φ = 42144810240.

The previous prime is 114142211269. The next prime is 114142211311. The reversal of 114142211300 is 3112241411.

It can be written as a sum of positive squares in 9 ways, for example, as 41776907236 + 72365304064 = 204394^2 + 269008^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3360089 + ... + 3393888.

It is an arithmetic number, because the mean of its divisors is an integer number (4966800377).

Almost surely, 2114142211300 is an apocalyptic number.

114142211300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114142211300 is an abundant number, since it is smaller than the sum of its proper divisors (154065009058).

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

114142211300 is a wasteful number, since it uses less digits than its factorization.

114142211300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6754017 (or 6753997 counting only the distinct ones).

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

Adding to 114142211300 its reverse (3112241411), we get a palindrome (117254452711).

The spelling of 114142211300 in words is "one hundred fourteen billion, one hundred forty-two million, two hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 169 260 325 338 650 676 845 1300 1690 3380 4225 8450 16900 6753977 13507954 27015908 33769885 67539770 87801701 135079540 168849425 175603402 337698850 351206804 439008505 675397700 878017010 1141422113 1756034020 2195042525 2282844226 4390085050 4565688452 5707110565 8780170100 11414221130 22828442260 28535552825 57071105650 114142211300