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116226342100 = 22521119291131697
BaseRepresentation
bin110110000111110100…
…0010011110011010100
3102010000000100221001001
41230033220103303110
53401012420421400
6125221005513044
711253124415221
oct1541750236324
9363000327031
10116226342100
1145322816090
121a637b72784
13ac63443cbb
1458a80b0948
153053a3ea6a
hex1b0fa13cd4

116226342100 has 288 divisors, whose sum is σ = 302436892800. Its totient is φ = 38294323200.

The previous prime is 116226342077. The next prime is 116226342109. The reversal of 116226342100 is 1243622611.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116226342109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 68488452 + ... + 68490148.

It is an arithmetic number, because the mean of its divisors is an integer number (1050128100).

Almost surely, 2116226342100 is an apocalyptic number.

116226342100 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 116226342100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151218446400).

116226342100 is an abundant number, since it is smaller than the sum of its proper divisors (186210550700).

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

116226342100 is a wasteful number, since it uses less digits than its factorization.

116226342100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1883 (or 1876 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 116226342100 its reverse (1243622611), we get a palindrome (117469964711).

The spelling of 116226342100 in words is "one hundred sixteen billion, two hundred twenty-six million, three hundred forty-two thousand, one hundred".