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1321230230100 = 22325211217241981
BaseRepresentation
bin10011001110011111011…
…101010110001001010100
311200022022210202212220200
4103032133131112021110
5133121334414330400
62450544221100500
7164312213441064
oct23163735261124
94608283685820
101321230230100
1146a370025300
121940913b7730
139778c61c181
1447d3adcd3a4
152457cb9db00
hex1339f756254

1321230230100 has 486 divisors, whose sum is σ = 4835665225482. Its totient is φ = 301449984000.

The previous prime is 1321230230063. The next prime is 1321230230107. The reversal of 1321230230100 is 10320321231.

1321230230100 is a `hidden beast` number, since 1 + 321 + 2 + 302 + 30 + 10 + 0 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 371985328836 + 949244901264 = 609906^2 + 974292^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1321230230107) by changing a digit.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 31451110 + ... + 31493090.

Almost surely, 21321230230100 is an apocalyptic number.

1321230230100 is a gapful number since it is divisible by the number (10) 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 1321230230100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2417832612741).

1321230230100 is an abundant number, since it is smaller than the sum of its proper divisors (3514434995382).

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

1321230230100 is a wasteful number, since it uses less digits than its factorization.

1321230230100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42057 (or 42019 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1321230230100 its reverse (10320321231), we get a palindrome (1331550551331).

The spelling of 1321230230100 in words is "one trillion, three hundred twenty-one billion, two hundred thirty million, two hundred thirty thousand, one hundred".