Search a number
-
+
112211010120 = 23351127728031
BaseRepresentation
bin110100010000001001…
…1000010001001001000
3101201122011210221001210
41220200103002021020
53314302004310440
6123314331213120
711051456564046
oct1504023021110
9351564727053
10112211010120
114365220a800
12198b72a71a0
13a7735b4b11
145606ac9396
152dbb28ba80
hex1a204c2248

112211010120 has 96 divisors (see below), whose sum is σ = 370018172160. Its totient is φ = 27202665600.

The previous prime is 112211010077. The next prime is 112211010139. The reversal of 112211010120 is 21010112211.

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 = 112211010096 and 112211010105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3849496 + ... + 3878535.

It is an arithmetic number, because the mean of its divisors is an integer number (3854355960).

Almost surely, 2112211010120 is an apocalyptic number.

112211010120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112211010120 is an abundant number, since it is smaller than the sum of its proper divisors (257807162040).

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

112211010120 is a wasteful number, since it uses less digits than its factorization.

112211010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7728067 (or 7728052 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 112211010120 its reverse (21010112211), we get a palindrome (133221122331).

The spelling of 112211010120 in words is "one hundred twelve billion, two hundred eleven million, ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 121 132 165 220 242 264 330 363 440 484 605 660 726 968 1210 1320 1452 1815 2420 2904 3630 4840 7260 14520 7728031 15456062 23184093 30912124 38640155 46368186 61824248 77280310 85008341 92736372 115920465 154560620 170016682 185472744 231840930 255025023 309121240 340033364 425041705 463681860 510050046 680066728 850083410 927363720 935091751 1020100092 1275125115 1700166820 1870183502 2040200184 2550250230 2805275253 3400333640 3740367004 4675458755 5100500460 5610550506 7480734008 9350917510 10201000920 11221101012 14026376265 18701835020 22442202024 28052752530 37403670040 56105505060 112211010120