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1110022213320 = 2332537412032561
BaseRepresentation
bin10000001001110010011…
…110101100111011001000
310221010011100121221210200
4100021302132230323020
5121141311141311240
62205534232212200
7143124246064236
oct20116236547310
93833140557720
101110022213320
11398837668219
1215b16823a060
13808a0272407
143ba2256d956
151dd1a79a930
hex102727acec8

1110022213320 has 192 divisors, whose sum is σ = 3795443673840. Its totient is φ = 280981094400.

The previous prime is 1110022213291. The next prime is 1110022213331. The reversal of 1110022213320 is 233122200111.

1110022213320 is a `hidden beast` number, since 1 + 110 + 0 + 2 + 221 + 332 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 807744372516 + 302277840804 = 898746^2 + 549798^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1110022213293 and 1110022213302.

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 47 ways as a sum of consecutive naturals, for example, 470161 + ... + 1562400.

Almost surely, 21110022213320 is an apocalyptic number.

1110022213320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1110022213320 is an abundant number, since it is smaller than the sum of its proper divisors (2685421460520).

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

1110022213320 is a wasteful number, since it uses less digits than its factorization.

1110022213320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2032656 (or 2032649 counting only the distinct ones).

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

Adding to 1110022213320 its reverse (233122200111), we get a palindrome (1343144413431).

The spelling of 1110022213320 in words is "one trillion, one hundred ten billion, twenty-two million, two hundred thirteen thousand, three hundred twenty".