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211012211211021 = 321117375957434089
BaseRepresentation
bin101111111110101000011011…
…111001000111101100001101
31000200010120101210211112021200
4233332220123321013230031
5210124211002032223041
62024441401021420113
762306062206214353
oct5776503371075415
91020116353745250
10211012211211021
116126485a1738a0
121b7bb6b670a639
13909849b52888c
143a1708cc777d3
15195dda27da1b6
hexbfea1be47b0d

211012211211021 has 96 divisors (see below), whose sum is σ = 367706828361600. Its totient is φ = 115125480714240.

The previous prime is 211012211210929. The next prime is 211012211211029. The reversal of 211012211211021 is 120112112210112.

It is a happy number.

211012211211021 is a `hidden beast` number, since 211 + 0 + 1 + 221 + 1 + 211 + 0 + 21 = 666.

It is not a de Polignac number, because 211012211211021 - 222 = 211012207016717 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 211012211210985 and 211012211211003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211012211211029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25043056 + ... + 32391033.

It is an arithmetic number, because the mean of its divisors is an integer number (3830279462100).

Almost surely, 2211012211211021 is an apocalyptic number.

It is an amenable number.

211012211211021 is a deficient number, since it is larger than the sum of its proper divisors (156694617150579).

211012211211021 is a wasteful number, since it uses less digits than its factorization.

211012211211021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57434219 (or 57434216 counting only the distinct ones).

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

Adding to 211012211211021 its reverse (120112112210112), we get a palindrome (331124323421133).

Subtracting from 211012211211021 its reverse (120112112210112), we obtain a palindrome (90900099000909).

The spelling of 211012211211021 in words is "two hundred eleven trillion, twelve billion, two hundred eleven million, two hundred eleven thousand, twenty-one".

Divisors: 1 3 9 11 17 33 37 51 59 99 111 153 177 187 333 407 531 561 629 649 1003 1221 1683 1887 1947 2183 3009 3663 5661 5841 6549 6919 9027 11033 19647 20757 24013 33099 37111 62271 72039 99297 111333 216117 333999 408221 1224663 3673989 57434089 172302267 516906801 631774979 976379513 1895324937 2125061293 2929138539 3388611251 5685974811 6375183879 8787415617 10165833753 10740174643 19125551637 23375674223 30497501259 32220523929 36126041981 37274723761 57606391267 70127022669 96661571787 108378125943 111824171283 125378616287 172819173801 210381068007 325134377829 335472513849 376135848861 397386461791 518457521403 633670303937 1128407546583 1192159385373 1379164779157 1901010911811 2131436476879 3576478156119 4137494337471 5703032735433 6394309430637 12412483012413 19182928291911 23445801245669 70337403737007 211012211211021