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1221110220330 = 232571113234991181
BaseRepresentation
bin10001110001001111110…
…101110100011000101010
311022201220021022102012200
4101301033311310120222
5130001313204022310
62332545325521030
7154136151420630
oct21611765643052
94281807272180
101221110220330
11430962981080
121787ab413176
138b1c4cb1240
144316004d350
1521b6d15a9c0
hex11c4fd7462a

1221110220330 has 768 divisors, whose sum is σ = 4460811264000. Its totient is φ = 223397222400.

The previous prime is 1221110220329. The next prime is 1221110220331. The reversal of 1221110220330 is 330220111221.

1221110220330 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 110 + 220 + 330 = 666.

It is an interprime number because it is at equal distance from previous prime (1221110220329) and next prime (1221110220331).

It is a super-2 number, since 2×12211102203302 (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 Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1221110220331) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1033962340 + ... + 1033963520.

It is an arithmetic number, because the mean of its divisors is an integer number (5808348000).

Almost surely, 21221110220330 is an apocalyptic number.

1221110220330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1221110220330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2230405632000).

1221110220330 is an abundant number, since it is smaller than the sum of its proper divisors (3239701043670).

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

1221110220330 is a wasteful number, since it uses less digits than its factorization.

1221110220330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1747 (or 1744 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1221110220330 its reverse (330220111221), we get a palindrome (1551330331551).

The spelling of 1221110220330 in words is "one trillion, two hundred twenty-one billion, one hundred ten million, two hundred twenty thousand, three hundred thirty".