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211121114112 = 2103259388273
BaseRepresentation
bin1100010010011111001…
…1001000110000000000
3202011221101121211001200
43010213303020300000
511424334001122422
6240553202101200
721152530601136
oct3044763106000
9664841554050
10211121114112
11815994018a7
1234b0004a800
1316ba737087c
14a30b0bb756
1557599892ac
hex3127cc8c00

211121114112 has 132 divisors (see below), whose sum is σ = 619941564840. Its totient is φ = 69180751872.

The previous prime is 211121114081. The next prime is 211121114137. The reversal of 211121114112 is 211411121112.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an insolite number, because it is divisible by the sum (36) and by the product (1024) of the squares of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 349608 + ... + 737880.

Almost surely, 2211121114112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211121114112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309970782420).

211121114112 is an abundant number, since it is smaller than the sum of its proper divisors (408820450728).

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

211121114112 is a wasteful number, since it uses less digits than its factorization.

211121114112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388358 (or 388337 counting only the distinct ones).

The product of its digits is 32, while the sum is 18.

Adding to 211121114112 its reverse (211411121112), we get a palindrome (422532235224).

The spelling of 211121114112 in words is "two hundred eleven billion, one hundred twenty-one million, one hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 59 64 72 96 118 128 144 177 192 236 256 288 354 384 472 512 531 576 708 768 944 1024 1062 1152 1416 1536 1888 2124 2304 2832 3072 3776 4248 4608 5664 7552 8496 9216 11328 15104 16992 22656 30208 33984 45312 60416 67968 90624 135936 181248 271872 388273 543744 776546 1164819 1553092 2329638 3106184 3494457 4659276 6212368 6988914 9318552 12424736 13977828 18637104 22908107 24849472 27955656 37274208 45816214 49698944 55911312 68724321 74548416 91632428 99397888 111822624 137448642 149096832 183264856 198795776 206172963 223645248 274897284 298193664 366529712 397591552 412345926 447290496 549794568 596387328 733059424 824691852 894580992 1099589136 1192774656 1466118848 1649383704 1789161984 2199178272 2932237696 3298767408 3578323968 4398356544 5864475392 6597534816 8796713088 11728950784 13195069632 17593426176 23457901568 26390139264 35186852352 52780278528 70373704704 105560557056 211121114112