Search a number
-
+
1110112010020 = 2251310142273877
BaseRepresentation
bin10000001001110111110…
…101001111111100100100
310221010101121121002201101
4100021313311033330210
5121142002133310040
62205551201005444
7143126416252216
oct20116765177444
93833347532641
101110112010020
1139888331a872
1215b192323884
13808b5a52960
143ba304665b6
151dd235d709a
hex10277d4ff24

1110112010020 has 48 divisors (see below), whose sum is σ = 2535418106928. Its totient is φ = 405829209600.

The previous prime is 1110112009991. The next prime is 1110112010047. The reversal of 1110112010020 is 200102110111.

It can be written as a sum of positive squares in 8 ways, for example, as 114471248896 + 995640761124 = 338336^2 + 997818^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1110112009979 and 1110112010006.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21110679 + ... + 21163198.

It is an arithmetic number, because the mean of its divisors is an integer number (52821210561).

Almost surely, 21110112010020 is an apocalyptic number.

1110112010020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1110112010020 is an abundant number, since it is smaller than the sum of its proper divisors (1425306096908).

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

1110112010020 is a wasteful number, since it uses less digits than its factorization.

1110112010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42274000 (or 42273998 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1110112010020 its reverse (200102110111), we get a palindrome (1310214120131).

The spelling of 1110112010020 in words is "one trillion, one hundred ten billion, one hundred twelve million, ten thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 101 130 202 260 404 505 1010 1313 2020 2626 5252 6565 13130 26260 42273877 84547754 169095508 211369385 422738770 549560401 845477540 1099120802 2198241604 2747802005 4269661577 5495604010 8539323154 10991208020 17078646308 21348307885 42696615770 55505600501 85393231540 111011201002 222022402004 277528002505 555056005010 1110112010020