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1330312022100 = 22325210323896007
BaseRepresentation
bin10011010110111100110…
…001101000100001010100
311201011202201202201110100
4103112330301220201110
5133243434334201400
62455045323254100
7165053241420555
oct23267461504124
94634681681410
101330312022100
11473200501026
121959a697a330
13985a90093a9
144855d21632c
1524910135100
hex135bcc68854

1330312022100 has 216 divisors, whose sum is σ = 4212736062080. Its totient is φ = 351100189440.

The previous prime is 1330312022071. The next prime is 1330312022173. The reversal of 1330312022100 is 12202130331.

1330312022100 is a `hidden beast` number, since 1 + 330 + 3 + 120 + 2 + 210 + 0 = 666.

It is a super-2 number, since 2×13303120221002 (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 221457297 + ... + 221463303.

Almost surely, 21330312022100 is an apocalyptic number.

1330312022100 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 1330312022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2106368031040).

1330312022100 is an abundant number, since it is smaller than the sum of its proper divisors (2882424039980).

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

1330312022100 is a wasteful number, since it uses less digits than its factorization.

1330312022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8519 (or 8509 counting only the distinct ones).

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

Adding to 1330312022100 its reverse (12202130331), we get a palindrome (1342514152431).

The spelling of 1330312022100 in words is "one trillion, three hundred thirty billion, three hundred twelve million, twenty-two thousand, one hundred".