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1110311233220 = 225747223756683
BaseRepresentation
bin10000001010000011101…
…101001110011011000100
310221010220111110200120102
4100022003231032123010
5121142404133430340
62210023035023232
7143134355522660
oct20120355163304
93833814420512
101110311233220
11398975822142
1215b228b9ab18
13809180c74c7
143ba4cac58a0
151dd35d3b215
hex10283b4e6c4

1110311233220 has 96 divisors (see below), whose sum is σ = 2733651099648. Its totient is φ = 370907356032.

The previous prime is 1110311233139. The next prime is 1110311233231. The reversal of 1110311233220 is 223321130111.

It is a happy number.

It is a super-2 number, since 2×11103112332202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1110311233192 and 1110311233201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1088999 + ... + 1845681.

It is an arithmetic number, because the mean of its divisors is an integer number (28475532288).

Almost surely, 21110311233220 is an apocalyptic number.

1110311233220 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 1110311233220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1366825549824).

1110311233220 is an abundant number, since it is smaller than the sum of its proper divisors (1623339866428).

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

1110311233220 is a wasteful number, since it uses less digits than its factorization.

1110311233220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756969 (or 756967 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 1110311233220 its reverse (223321130111), we get a palindrome (1333632363331).

The spelling of 1110311233220 in words is "one trillion, one hundred ten billion, three hundred eleven million, two hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 47 70 94 140 188 223 235 329 446 470 658 892 940 1115 1316 1561 1645 2230 3122 3290 4460 6244 6580 7805 10481 15610 20962 31220 41924 52405 73367 104810 146734 209620 293468 366835 733670 756683 1467340 1513366 3026732 3783415 5296781 7566830 10593562 15133660 21187124 26483905 35564101 52967810 71128202 105935620 142256404 168740309 177820505 248948707 337480618 355641010 497897414 674961236 711282020 843701545 995794828 1181182163 1244743535 1687403090 2362364326 2489487070 3374806180 4724728652 4978974140 5905910815 7930794523 11811821630 15861589046 23623643260 31723178092 39653972615 55515561661 79307945230 111031123322 158615890460 222062246644 277577808305 555155616610 1110311233220