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211222111200021 = 3227784726077497
BaseRepresentation
bin110000000001101011111010…
…111010000010001100010101
31000200212122012002200202121100
4300001223322322002030111
5210141130340431400041
62025122033122540313
762330202551534145
oct6001537272021425
91020778162622540
10211222111200021
1161335881250289
121b834315807699
1390b220c8b96bc
143a232c1ac6925
151964589e646b6
hexc01afae82315

211222111200021 has 12 divisors (see below), whose sum is σ = 306200044077772. Its totient is φ = 140306384333376.

The previous prime is 211222111199987. The next prime is 211222111200029. The reversal of 211222111200021 is 120002111222112.

211222111200021 is a `hidden beast` number, since 211 + 2 + 221 + 11 + 200 + 0 + 21 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 63208462640625 + 148013648559396 = 7950375^2 + 12166086^2 .

It is not a de Polignac number, because 211222111200021 - 231 = 211219963716373 is a prime.

It is a super-3 number, since 3×2112221112000213 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 211222111199967 and 211222111200003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211222111200029) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42363036256 + ... + 42363041241.

Almost surely, 2211222111200021 is an apocalyptic number.

It is an amenable number.

211222111200021 is a deficient number, since it is larger than the sum of its proper divisors (94977932877751).

211222111200021 is a wasteful number, since it uses less digits than its factorization.

211222111200021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84726077780 (or 84726077777 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 211222111200021 its reverse (120002111222112), we get a palindrome (331224222422133).

The spelling of 211222111200021 in words is "two hundred eleven trillion, two hundred twenty-two billion, one hundred eleven million, two hundred thousand, twenty-one".

Divisors: 1 3 9 277 831 2493 84726077497 254178232491 762534697473 23469123466669 70407370400007 211222111200021