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21303233230312 = 231147731372412137
BaseRepresentation
bin1001101100000000010111…
…01001100011010111101000
32210102120100221201002001201
410312000023221203113220
510243013010201332222
6113150323101053544
74326051656504605
oct466001351432750
983376327632051
1021303233230312
116873717869aa0
1224808618572b4
13bb6b6a1b30b7
14539120da16ac
1526e22ca70427
hex13600ba635e8

21303233230312 has 256 divisors, whose sum is σ = 45650718305280. Its totient is φ = 9236378419200.

The previous prime is 21303233230283. The next prime is 21303233230351.

21303233230312 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9968755708 + ... + 9968757844.

It is an arithmetic number, because the mean of its divisors is an integer number (178323118380).

Almost surely, 221303233230312 is an apocalyptic number.

21303233230312 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 21303233230312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22825359152640).

21303233230312 is an abundant number, since it is smaller than the sum of its proper divisors (24347485074968).

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

21303233230312 is a wasteful number, since it uses less digits than its factorization.

21303233230312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2652 (or 2648 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 28.

It can be divided in two parts, 2130323 and 3230312, that added together give a palindrome (5360635).

The spelling of 21303233230312 in words is "twenty-one trillion, three hundred three billion, two hundred thirty-three million, two hundred thirty thousand, three hundred twelve".