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211211012200112 = 24293449754917483
BaseRepresentation
bin110000000001100001100101…
…010110101101011010110000
31000200211120112120222011000122
4300001201211112231122300
5210140440123110400422
62025112555520505412
762326330530562631
oct6001414526553260
91020746476864018
10211211012200112
11613310a6144391
121b83213877b268
1390b116130b832
143a2294ba05888
15196413a86bd42
hexc018655ad6b0

211211012200112 has 80 divisors (see below), whose sum is σ = 423535475700000. Its totient is φ = 101915040847872.

The previous prime is 211211012200093. The next prime is 211211012200121. The reversal of 211211012200112 is 211002210112112.

It is a super-3 number, since 3×2112110122001123 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12080927723 + ... + 12080945205.

It is an arithmetic number, because the mean of its divisors is an integer number (5294193446250).

Almost surely, 2211211012200112 is an apocalyptic number.

It is an amenable number.

211211012200112 is an abundant number, since it is smaller than the sum of its proper divisors (212324463499888).

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

211211012200112 is a wasteful number, since it uses less digits than its factorization.

211211012200112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28518 (or 28512 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 211211012200112 its reverse (211002210112112), we get a palindrome (422213222312224).

The spelling of 211211012200112 in words is "two hundred eleven trillion, two hundred eleven billion, twelve million, two hundred thousand, one hundred twelve".

Divisors: 1 2 4 8 16 29 58 116 232 464 3449 6898 7549 13796 15098 17483 27592 30196 34966 55184 60392 69932 100021 120784 139864 200042 218921 279728 400084 437842 507007 800168 875684 1014014 1600336 1751368 2028028 3502736 4056056 8112112 26036501 52073002 60298867 104146004 120597734 131979167 208292008 241195468 263958334 416584016 482390936 527916668 755058529 964781872 1055833336 1510117058 1748667143 2111666672 3020234116 3497334286 3827395843 6040468232 6994668572 7654791686 12080936464 13989337144 15309583372 27978674288 30619166744 61238333488 455196146983 910392293966 1820784587932 3641569175864 7283138351728 13200688262507 26401376525014 52802753050028 105605506100056 211211012200112