Search a number
-
+
1201110000220 = 2251389101513923
BaseRepresentation
bin10001011110100111101…
…111000010001001011100
311020211021102100222000201
4101132213233002021130
5124134333130001340
62315440551433244
7152530424356204
oct21364757021134
94224242328021
101201110000220
1142342a311749
12174949385824
138935855a380
14421c3b0b404
152139c39979a
hex117a7bc225c

1201110000220 has 96 divisors (see below), whose sum is σ = 2774079524160. Its totient is φ = 434161305600.

The previous prime is 1201110000161. The next prime is 1201110000289. The reversal of 1201110000220 is 220000111021.

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 = 1201110000197 and 1201110000206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2080179 + ... + 2594101.

It is an arithmetic number, because the mean of its divisors is an integer number (28896661710).

Almost surely, 21201110000220 is an apocalyptic number.

1201110000220 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 1201110000220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1387039762080).

1201110000220 is an abundant number, since it is smaller than the sum of its proper divisors (1572969523940).

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

1201110000220 is a wasteful number, since it uses less digits than its factorization.

1201110000220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514135 (or 514133 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1201110000220 its reverse (220000111021), we get a palindrome (1421110111241).

The spelling of 1201110000220 in words is "one trillion, two hundred one billion, one hundred ten million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 13 20 26 52 65 89 101 130 178 202 260 356 404 445 505 890 1010 1157 1313 1780 2020 2314 2626 4628 5252 5785 6565 8989 11570 13130 17978 23140 26260 35956 44945 89890 116857 179780 233714 467428 513923 584285 1027846 1168570 2055692 2337140 2569615 5139230 6680999 10278460 13361998 26723996 33404995 45739147 51906223 66809990 91478294 103812446 133619980 182956588 207624892 228695735 259531115 457391470 519062230 594608911 674780899 914782940 1038124460 1189217822 1349561798 2378435644 2699123596 2973044555 3373904495 4619653847 5946089110 6747808990 9239307694 11892178220 13495617980 18478615388 23098269235 46196538470 60055500011 92393076940 120111000022 240222000044 300277500055 600555000110 1201110000220