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30200310000 = 243354719292
BaseRepresentation
bin11100001000000101…
…000010100011110000
32212221201012201001000
4130020011002203300
5443322234410000
621512425242000
72116251254010
oct341005024360
985851181030
1030200310000
1111898318993
125a2a033300
132b03a2a523
141666cabc40
15bbb4e5000
hex7081428f0

30200310000 has 1200 divisors, whose sum is σ = 134961798400. Its totient is φ = 6314112000.

The previous prime is 30200309969. The next prime is 30200310001. The reversal of 30200310000 is 1300203.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-3 number, since 3×302003100003 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30200310001) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1041389986 + ... + 1041390014.

Almost surely, 230200310000 is an apocalyptic number.

30200310000 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 30200310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67480899200).

30200310000 is an abundant number, since it is smaller than the sum of its proper divisors (104761488400).

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

30200310000 is a wasteful number, since it uses less digits than its factorization.

30200310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

Adding to 30200310000 its reverse (1300203), we get a palindrome (30201610203).

The spelling of 30200310000 in words is "thirty billion, two hundred million, three hundred ten thousand".