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211022221122 = 232411012831069
BaseRepresentation
bin1100010010000111100…
…1111000111101000010
3202011200111112112101100
43010201321320331002
511424133142033442
6240535310315230
721150220166316
oct3044171707502
9664614475340
10211022221122
11815485a7059
1234a92ab8b16
1316b8ca26bcb
14a2dbcd7b46
155750e5284c
hex3121e78f42

211022221122 has 48 divisors (see below), whose sum is σ = 473003851320. Its totient is φ = 67945632000.

The previous prime is 211022221099. The next prime is 211022221141. The reversal of 211022221122 is 221122220112.

It is a happy number.

211022221122 is a `hidden beast` number, since 211 + 0 + 222 + 211 + 22 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 157665379041 + 53356842081 = 397071^2 + 230991^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 211022221095 and 211022221104.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1340997 + ... + 1490072.

Almost surely, 2211022221122 is an apocalyptic number.

211022221122 is an abundant number, since it is smaller than the sum of its proper divisors (261981630198).

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

211022221122 is a wasteful number, since it uses less digits than its factorization.

211022221122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2831219 (or 2831216 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 211022221122 its reverse (221122220112), we get a palindrome (432144441234).

The spelling of 211022221122 in words is "two hundred eleven billion, twenty-two million, two hundred twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 41 82 101 123 202 246 303 369 606 738 909 1818 4141 8282 12423 24846 37269 74538 2831069 5662138 8493207 16986414 25479621 50959242 116073829 232147658 285937969 348221487 571875938 696442974 857813907 1044664461 1715627814 2089328922 2573441721 5146883442 11723456729 23446913458 35170370187 70340740374 105511110561 211022221122