Search a number
-
+
11221010220 = 22357251106441
BaseRepresentation
bin10100111001101001…
…10000011100101100
31001222000022101021010
422130310300130230
5140440034311340
65053241105220
7545032004340
oct123464603454
931860271233
1011221010220
114838a71072
122211a88210
13109a959b24
147863a1620
1545a198b80
hex29cd3072c

11221010220 has 96 divisors (see below), whose sum is σ = 36050628096. Its totient is φ = 2554560000.

The previous prime is 11221010209. The next prime is 11221010231. The reversal of 11221010220 is 2201012211.

It is an interprime number because it is at equal distance from previous prime (11221010209) and next prime (11221010231).

It is a super-2 number, since 2×112210102202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11221010196 and 11221010205.

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, 52200 + ... + 158640.

It is an arithmetic number, because the mean of its divisors is an integer number (375527376).

Almost surely, 211221010220 is an apocalyptic number.

11221010220 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 11221010220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18025314048).

11221010220 is an abundant number, since it is smaller than the sum of its proper divisors (24829617876).

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

11221010220 is a wasteful number, since it uses less digits than its factorization.

11221010220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106711 (or 106709 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11221010220 its reverse (2201012211), we get a palindrome (13422022431).

The spelling of 11221010220 in words is "eleven billion, two hundred twenty-one million, ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 251 420 502 753 1004 1255 1506 1757 2510 3012 3514 3765 5020 5271 7028 7530 8785 10542 15060 17570 21084 26355 35140 52710 105420 106441 212882 319323 425764 532205 638646 745087 1064410 1277292 1490174 1596615 2128820 2235261 2980348 3193230 3725435 4470522 6386460 7450870 8941044 11176305 14901740 22352610 26716691 44705220 53433382 80150073 106866764 133583455 160300146 187016837 267166910 320600292 374033674 400750365 534333820 561050511 748067348 801500730 935084185 1122101022 1603001460 1870168370 2244202044 2805252555 3740336740 5610505110 11221010220