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15116221120 = 26571113411151
BaseRepresentation
bin11100001001111111…
…10011101011000000
31110000110211121002111
432010333303223000
5221424223033440
610535545025104
71043410521340
oct160477635300
943013747074
1015116221120
116457792730
122b1a485194
13156b94bc50
14a35838d20
155d71204ea
hex384ff3ac0

15116221120 has 448 divisors, whose sum is σ = 49551409152. Its totient is φ = 4239360000.

The previous prime is 15116221111. The next prime is 15116221121. The reversal of 15116221120 is 2112261151.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 15116221091 and 15116221100.

It is not an unprimeable number, because it can be changed into a prime (15116221121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13132545 + ... + 13133695.

It is an arithmetic number, because the mean of its divisors is an integer number (110605824).

Almost surely, 215116221120 is an apocalyptic number.

15116221120 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 15116221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24775704576).

15116221120 is an abundant number, since it is smaller than the sum of its proper divisors (34435188032).

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

15116221120 is a wasteful number, since it uses less digits than its factorization.

15116221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1240 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 22.

Adding to 15116221120 its reverse (2112261151), we get a palindrome (17228482271).

The spelling of 15116221120 in words is "fifteen billion, one hundred sixteen million, two hundred twenty-one thousand, one hundred twenty".