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30201210000 = 2432541383311
BaseRepresentation
bin11100001000001000…
…011110010010010000
32212221202220102121100
4130020020132102100
5443323002210000
621512500424400
72116262022633
oct341010362220
985852812540
1030201210000
1111898883095
125a2a3a8100
132b03c84080
141667063c1a
15bbb621a00
hex70821e490

30201210000 has 600 divisors, whose sum is σ = 115482983616. Its totient is φ = 7320960000.

The previous prime is 30201209999. The next prime is 30201210007. The reversal of 30201210000 is 1210203.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×302012100002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (30201210007) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 97109845 + ... + 97110155.

Almost surely, 230201210000 is an apocalyptic number.

30201210000 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 30201210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57741491808).

30201210000 is an abundant number, since it is smaller than the sum of its proper divisors (85281773616).

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

30201210000 is a wasteful number, since it uses less digits than its factorization.

30201210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 30201210000 its reverse (1210203), we get a palindrome (30202420203).

The spelling of 30201210000 in words is "thirty billion, two hundred one million, two hundred ten thousand".