Search a number
-
+
102877102080 = 2183551719
BaseRepresentation
bin101111111001111110…
…1000000000000000000
3100211112200102021100000
41133303331000000000
53141143014231310
6115132221200000
710301250640134
oct1376375000000
9324480367300
10102877102080
113a6a2495515
1217b31400000
1399168c3ccc
144d9d1d53c4
152a21b044c0
hex17f3f40000

102877102080 has 912 divisors, whose sum is σ = 412215410880. Its totient is φ = 24461180928.

The previous prime is 102877102079. The next prime is 102877102187. The reversal of 102877102080 is 80201778201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (912).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5414584311 + ... + 5414584329.

Almost surely, 2102877102080 is an apocalyptic number.

102877102080 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 102877102080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206107705440).

102877102080 is an abundant number, since it is smaller than the sum of its proper divisors (309338308800).

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

102877102080 is an frugal number, since it uses more digits than its factorization.

102877102080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 36.

The spelling of 102877102080 in words is "one hundred two billion, eight hundred seventy-seven million, one hundred two thousand, eighty".