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1110222221020 = 2251159530916111
BaseRepresentation
bin10000001001111110011…
…001101010111011011100
310221010200021222101210021
4100021332121222323130
5121142213342033040
62210010135121524
7143132225113123
oct20117631527334
93833607871707
101110222221020
1139892a555a40
1215b2032132a4
1380902830073
143ba40d54aba
151dd2d10724a
hex1027e66aedc

1110222221020 has 96 divisors (see below), whose sum is σ = 2587174732800. Its totient is φ = 396775123200.

The previous prime is 1110222221011. The next prime is 1110222221021. The reversal of 1110222221020 is 201222220111.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1110222220985 and 1110222221003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1110222221021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68902765 + ... + 68918875.

It is an arithmetic number, because the mean of its divisors is an integer number (26949736800).

Almost surely, 21110222221020 is an apocalyptic number.

1110222221020 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 1110222221020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1293587366400).

1110222221020 is an abundant number, since it is smaller than the sum of its proper divisors (1476952511780).

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

1110222221020 is a wasteful number, since it uses less digits than its factorization.

1110222221020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21499 (or 21497 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1110222221020 its reverse (201222220111), we get a palindrome (1311444441131).

Subtracting from 1110222221020 its reverse (201222220111), we obtain a palindrome (909000000909).

The spelling of 1110222221020 in words is "one trillion, one hundred ten billion, two hundred twenty-two million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 59 110 118 220 236 295 590 649 1180 1298 2596 3245 5309 6490 10618 12980 16111 21236 26545 32222 53090 58399 64444 80555 106180 116798 161110 177221 233596 291995 313231 322220 354442 583990 626462 708884 886105 950549 1167980 1252924 1566155 1772210 1901098 3132310 3445541 3544420 3802196 4752745 6264620 6891082 9505490 10456039 13782164 17227705 19010980 20912078 34455410 41824156 52280195 68910820 85533299 104560390 171066598 209120780 342133196 427666495 855332990 940866289 1710665980 1881732578 3763465156 4704331445 5046464641 9408662890 10092929282 18817325780 20185858564 25232323205 50464646410 55511111051 100929292820 111022222102 222044444204 277555555255 555111110510 1110222221020