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21030300303012 = 2232711133741384701
BaseRepresentation
bin1001100100000011111111…
…00101000011111010100100
32202110110212210020210210200
410302001333211003322210
510224030023334144022
6112421104145150500
74300250306060520
oct462017745037244
982413783223720
1021030300303012
11677899a298070
12243799102b430
13b971c1c1a350
14529c2c960d80
152670a6794bac
hex13207f943ea4

21030300303012 has 576 divisors, whose sum is σ = 75092747079168. Its totient is φ = 4786283520000.

The previous prime is 21030300302929. The next prime is 21030300303017.

21030300303012 is a `hidden beast` number, since 2 + 1 + 0 + 30 + 300 + 30 + 301 + 2 = 666.

21030300303012 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (21030300303017) 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, 54474262 + ... + 54858962.

It is an arithmetic number, because the mean of its divisors is an integer number (130369352568).

Almost surely, 221030300303012 is an apocalyptic number.

21030300303012 is a gapful number since it is divisible by the number (22) 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 21030300303012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37546373539584).

21030300303012 is an abundant number, since it is smaller than the sum of its proper divisors (54062446776156).

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

21030300303012 is a wasteful number, since it uses less digits than its factorization.

21030300303012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384820 (or 384815 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

It can be divided in two parts, 21030300 and 303012, that added together give a palindrome (21333312).

The spelling of 21030300303012 in words is "twenty-one trillion, thirty billion, three hundred million, three hundred three thousand, twelve".