Search a number
-
+
30103545600 = 2832521771433
BaseRepresentation
bin11100000010010011…
…111010011100000000
32212200222010120020100
4130002103322130000
5443123001424400
621455051242400
72113664626032
oct340223723400
985628116210
1030103545600
1111848737407
125a01749400
132ab997a69b
1416580bdc52
15bb2c7e100
hex7024fa700

30103545600 has 648 divisors, whose sum is σ = 115829898912. Its totient is φ = 7431782400.

The previous prime is 30103545547. The next prime is 30103545611. The reversal of 30103545600 is 654530103.

30103545600 is a `hidden beast` number, since 3 + 0 + 1 + 0 + 3 + 54 + 5 + 600 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 69522984 + ... + 69523416.

It is an arithmetic number, because the mean of its divisors is an integer number (178749844).

Almost surely, 230103545600 is an apocalyptic number.

30103545600 is a gapful number since it is divisible by the number (30) 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 30103545600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57914949456).

30103545600 is an abundant number, since it is smaller than the sum of its proper divisors (85726353312).

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

30103545600 is a wasteful number, since it uses less digits than its factorization.

30103545600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The spelling of 30103545600 in words is "thirty billion, one hundred three million, five hundred forty-five thousand, six hundred".