Search a number
-
+
30980100096 = 2123211194021
BaseRepresentation
bin11100110110100011…
…101101000000000000
32221222001112010221200
4130312203231000000
51001421401200341
622122043021200
72144500335351
oct346643550000
987861463850
1030980100096
1112158505810
12600720a800
132bc945559a
1416dc695d28
15c14bc8db6
hex7368ed000

30980100096 has 312 divisors, whose sum is σ = 102785910240. Its totient is φ = 8891596800.

The previous prime is 30980100091. The next prime is 30980100097. The reversal of 30980100096 is 69000108903.

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

It is a self number, because there is not a number n which added to its sum of digits gives 30980100096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30980100091) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7702566 + ... + 7706586.

It is an arithmetic number, because the mean of its divisors is an integer number (329442020).

Almost surely, 230980100096 is an apocalyptic number.

30980100096 is a gapful number since it is divisible by the number (36) 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 30980100096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51392955120).

30980100096 is an abundant number, since it is smaller than the sum of its proper divisors (71805810144).

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

30980100096 is a wasteful number, since it uses less digits than its factorization.

30980100096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4081 (or 4056 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

Adding to 30980100096 its reverse (69000108903), we get a palindrome (99980208999).

The spelling of 30980100096 in words is "thirty billion, nine hundred eighty million, one hundred thousand, ninety-six".