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116233143200 = 255247101127241
BaseRepresentation
bin110110001000000001…
…0010000001110100000
3102010000111011110101122
41230100002100032200
53401021141040300
6125221411351412
711253236262416
oct1542002201640
9363014143348
10116233143200
1145326640929
121a63a2b2568
13ac64985815
1458a8d612b6
153054434c85
hex1b100903a0

116233143200 has 288 divisors, whose sum is σ = 296189042688. Its totient is φ = 44513280000.

The previous prime is 116233143167. The next prime is 116233143241. The reversal of 116233143200 is 2341332611.

It is a self number, because there is not a number n which added to its sum of digits gives 116233143200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 482295080 + ... + 482295320.

It is an arithmetic number, because the mean of its divisors is an integer number (1028434176).

Almost surely, 2116233143200 is an apocalyptic number.

116233143200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116233143200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148094521344).

116233143200 is an abundant number, since it is smaller than the sum of its proper divisors (179955899488).

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

116233143200 is a wasteful number, since it uses less digits than its factorization.

116233143200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 116233143200 its reverse (2341332611), we get a palindrome (118574475811).

The spelling of 116233143200 in words is "one hundred sixteen billion, two hundred thirty-three million, one hundred forty-three thousand, two hundred".