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212211002112 = 283432149441
BaseRepresentation
bin1100010110100011000…
…0101110101100000000
3202021202100102212022220
43011220300232230000
511434102004031422
6241253254131040
721221533520154
oct3055060565400
9667670385286
10212211002112
1181aa863a88a
1235165050a80
131701c0c0a05
14a3b1b47064
1557c04c3e5c
hex3168c2eb00

212211002112 has 108 divisors (see below), whose sum is σ = 578234735064. Its totient is φ = 69091491840.

The previous prime is 212211002099. The next prime is 212211002137. The reversal of 212211002112 is 211200112212.

It is a junction number, because it is equal to n+sod(n) for n = 212211002091 and 212211002100.

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, 1345312 + ... + 1494752.

Almost surely, 2212211002112 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 212211002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289117367532).

212211002112 is an abundant number, since it is smaller than the sum of its proper divisors (366023732952).

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

212211002112 is an equidigital number, since it uses as much as digits as its factorization.

212211002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149546 (or 149489 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 212211002112 its reverse (211200112212), we get a palindrome (423411114324).

The spelling of 212211002112 in words is "two hundred twelve billion, two hundred eleven million, two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 172 192 256 258 344 384 516 688 768 1032 1376 1849 2064 2752 3698 4128 5504 5547 7396 8256 11008 11094 14792 16512 22188 29584 33024 44376 59168 88752 118336 149441 177504 236672 298882 355008 448323 473344 597764 710016 896646 1195528 1420032 1793292 2391056 3586584 4782112 6425963 7173168 9564224 12851926 14346336 19128448 19277889 25703852 28692672 38256896 38555778 51407704 57385344 77111556 102815408 114770688 154223112 205630816 276316409 308446224 411261632 552632818 616892448 822523264 828949227 1105265636 1233784896 1645046528 1657898454 2210531272 2467569792 3315796908 4421062544 4935139584 6631593816 8842125088 13263187632 17684250176 26526375264 35368500352 53052750528 70737000704 106105501056 212211002112