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10016116000 = 2553111911981
BaseRepresentation
bin10010101010000000…
…11100110100100000
3221212001002102010021
421111000130310200
5131003111203000
64333520043224
7503131403242
oct112500346440
927761072107
1010016116000
11427a922220
121b36463514
13c38140a77
146b035a092
153d94e311a
hex25501cd20

10016116000 has 192 divisors, whose sum is σ = 28262183040. Its totient is φ = 3450240000.

The previous prime is 10016115971. The next prime is 10016116009. The reversal of 10016116000 is 61161001.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (10016116009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 830010 + ... + 841990.

It is an arithmetic number, because the mean of its divisors is an integer number (147198870).

Almost surely, 210016116000 is an apocalyptic number.

10016116000 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 10016116000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14131091520).

10016116000 is an abundant number, since it is smaller than the sum of its proper divisors (18246067040).

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

10016116000 is a wasteful number, since it uses less digits than its factorization.

10016116000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12036 (or 12018 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 10016116000 its reverse (61161001), we get a palindrome (10077277001).

The spelling of 10016116000 in words is "ten billion, sixteen million, one hundred sixteen thousand".