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116256324100 = 2252717194112541
BaseRepresentation
bin110110001000101101…
…0101011101000000100
3102010002002210011121111
41230101122223220010
53401043104332400
6125224000254404
711253640310260
oct1542132535004
9363062704544
10116256324100
1145338733aa4
121a646011404
13ac69710a27
1458ac0770a0
1530564b33ba
hex1b116aba04

116256324100 has 288 divisors, whose sum is σ = 329206429440. Its totient is φ = 34670592000.

The previous prime is 116256324077. The next prime is 116256324103. The reversal of 116256324100 is 1423652611.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (116256324103) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9263830 + ... + 9276370.

It is an arithmetic number, because the mean of its divisors is an integer number (1143077880).

Almost surely, 2116256324100 is an apocalyptic number.

116256324100 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 116256324100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164603214720).

116256324100 is an abundant number, since it is smaller than the sum of its proper divisors (212950105340).

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

116256324100 is a wasteful number, since it uses less digits than its factorization.

116256324100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12639 (or 12632 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

Adding to 116256324100 its reverse (1423652611), we get a palindrome (117679976711).

The spelling of 116256324100 in words is "one hundred sixteen billion, two hundred fifty-six million, three hundred twenty-four thousand, one hundred".