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30161473200 = 24335223295379
BaseRepresentation
bin11100000101110000…
…111000111010110000
32212212000010120222000
4130011300320322300
5443232314120300
621504521014000
72115300202125
oct340560707260
985760116860
1030161473200
1111878402261
125a19024300
132ac8980281
141661a7c74c
15bb7dc2c00
hex705c38eb0

30161473200 has 960 divisors, whose sum is σ = 119563776000. Its totient is φ = 7195668480.

The previous prime is 30161473141. The next prime is 30161473201. The reversal of 30161473200 is 237416103.

30161473200 is a `hidden beast` number, since 30 + 161 + 473 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (30161473201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 381790761 + ... + 381790839.

It is an arithmetic number, because the mean of its divisors is an integer number (124545600).

Almost surely, 230161473200 is an apocalyptic number.

30161473200 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 30161473200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59781888000).

30161473200 is an abundant number, since it is smaller than the sum of its proper divisors (89402302800).

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

30161473200 is a wasteful number, since it uses less digits than its factorization.

30161473200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

Adding to 30161473200 its reverse (237416103), we get a palindrome (30398889303).

The spelling of 30161473200 in words is "thirty billion, one hundred sixty-one million, four hundred seventy-three thousand, two hundred".