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30312020100 = 223523143229331
BaseRepresentation
bin11100001110101111…
…001011100010000100
32220020111102011111010
4130032233023202010
5444034334120400
621531455442220
72122105630305
oct341657134204
986214364433
1030312020100
111194538838a
125a5b526370
132b20c1108b
141677a6a7ac
15bc620e450
hex70ebcb884

30312020100 has 288 divisors, whose sum is σ = 93322915840. Its totient is φ = 7584192000.

The previous prime is 30312020033. The next prime is 30312020191. The reversal of 30312020100 is 102021303.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 91576935 + ... + 91577265.

Almost surely, 230312020100 is an apocalyptic number.

30312020100 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 30312020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46661457920).

30312020100 is an abundant number, since it is smaller than the sum of its proper divisors (63010895740).

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

30312020100 is a wasteful number, since it uses less digits than its factorization.

30312020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 30312020100 its reverse (102021303), we get a palindrome (30414041403).

The spelling of 30312020100 in words is "thirty billion, three hundred twelve million, twenty thousand, one hundred".