Search a number
-
+
112211012221 = 71129101497537
BaseRepresentation
bin110100010000001001…
…1000010101001111101
3101201122011211000221121
41220200103002221331
53314302004342341
6123314331230541
711051456603140
oct1504023025175
9351564730847
10112211012221
1143652211340
12198b72a8451
13a7735b5a69
145606aca057
152dbb28c4d1
hex1a204c2a7d

112211012221 has 32 divisors (see below), whose sum is σ = 146156762880. Its totient is φ = 83586048000.

The previous prime is 112211012219. The next prime is 112211012267. The reversal of 112211012221 is 122210112211.

It is not a de Polignac number, because 112211012221 - 21 = 112211012219 is a prime.

It is a super-2 number, since 2×1122110122212 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 112211012195 and 112211012204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112211015221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23236 + ... + 474301.

It is an arithmetic number, because the mean of its divisors is an integer number (4567398840).

Almost surely, 2112211012221 is an apocalyptic number.

112211012221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112211012221 is a deficient number, since it is larger than the sum of its proper divisors (33945750659).

112211012221 is a wasteful number, since it uses less digits than its factorization.

112211012221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497685.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 112211012221 its reverse (122210112211), we get a palindrome (234421124432).

The spelling of 112211012221 in words is "one hundred twelve billion, two hundred eleven million, twelve thousand, two hundred twenty-one".

Divisors: 1 7 11 29 77 101 203 319 707 1111 2233 2929 7777 20503 32219 225533 497537 3482759 5472907 14428573 38310349 50251237 101000011 158714303 351758659 552763607 1111000121 1457285873 3869345249 10201001111 16030144603 112211012221