Search a number
-
+
110001022120 = 235111719774001
BaseRepresentation
bin110011001110010010…
…0100110010010101000
3101111221011022220110101
41212130210212102220
53300240230201440
6122311143355144
710642633155253
oct1463444462250
9344834286411
10110001022120
1142718789040
121939b152ab4
13a4b0797202
1454773ac09a
152cdc24a69a
hex199c9264a8

110001022120 has 128 divisors (see below), whose sum is σ = 300931977600. Its totient is φ = 35665920000.

The previous prime is 110001022111. The next prime is 110001022181. The reversal of 110001022120 is 21220100011.

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 = 110001022097 and 110001022106.

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, 244881 + ... + 529120.

It is an arithmetic number, because the mean of its divisors is an integer number (2351031075).

Almost surely, 2110001022120 is an apocalyptic number.

110001022120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110001022120 is an abundant number, since it is smaller than the sum of its proper divisors (190930955480).

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

110001022120 is a wasteful number, since it uses less digits than its factorization.

110001022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774059 (or 774055 counting only the distinct ones).

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

Adding to 110001022120 its reverse (21220100011), we get a palindrome (131221122131).

The spelling of 110001022120 in words is "one hundred ten billion, one million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 17 19 20 22 34 38 40 44 55 68 76 85 88 95 110 136 152 170 187 190 209 220 323 340 374 380 418 440 646 680 748 760 836 935 1045 1292 1496 1615 1672 1870 2090 2584 3230 3553 3740 4180 6460 7106 7480 8360 12920 14212 17765 28424 35530 71060 142120 774001 1548002 3096004 3870005 6192008 7740010 8514011 13158017 14706019 15480020 17028022 26316034 29412038 30960040 34056044 42570055 52632068 58824076 65790085 68112088 73530095 85140110 105264136 117648152 131580170 144738187 147060190 161766209 170280220 250002323 263160340 289476374 294120380 323532418 340560440 500004646 526320680 578952748 588240760 647064836 723690935 808831045 1000009292 1157905496 1250011615 1294129672 1447381870 1617662090 2000018584 2500023230 2750025553 2894763740 3235324180 5000046460 5500051106 5789527480 6470648360 10000092920 11000102212 13750127765 22000204424 27500255530 55000511060 110001022120