Search a number
-
+
211021000211021 = 7111317191241352579
BaseRepresentation
bin101111111110110000100111…
…110000011111101001001101
31000200011102002022212222201012
4233332300213300133221031
5210124332002023223041
62024445413104255005
762306523050405150
oct5776604760375115
91020142068788635
10211021000211021
116126855a349660
121b80134a011465
13909926c36cab0
143a17684245c97
15195e2191d83eb
hexbfec27c1fa4d

211021000211021 has 128 divisors (see below), whose sum is σ = 315815973580800. Its totient is φ = 135322749480960.

The previous prime is 211021000210949. The next prime is 211021000211027. The reversal of 211021000211021 is 120112000120112.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-211021000211021 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 211021000210987 and 211021000211005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211021000211027) 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 127 ways as a sum of consecutive naturals, for example, 4013382110 + ... + 4013434688.

It is an arithmetic number, because the mean of its divisors is an integer number (2467312293600).

Almost surely, 2211021000211021 is an apocalyptic number.

It is an amenable number.

211021000211021 is a deficient number, since it is larger than the sum of its proper divisors (104794973369779).

211021000211021 is a wasteful number, since it uses less digits than its factorization.

211021000211021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65059.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 211021000211021 its reverse (120112000120112), we get a palindrome (331133000331133).

Subtracting from 211021000211021 its reverse (120112000120112), we obtain a palindrome (90909000090909).

The spelling of 211021000211021 in words is "two hundred eleven trillion, twenty-one billion, two hundred eleven thousand, twenty-one".

Divisors: 1 7 11 13 17 19 77 91 119 133 143 187 209 221 247 323 1001 1309 1463 1547 1729 2261 2431 2717 3553 4199 12413 17017 19019 24871 29393 46189 52579 86891 136543 161369 211021 235847 323323 368053 578369 683527 893843 955801 999001 1129583 1477147 1650929 1775059 2321231 2594317 2743273 3066011 4009399 4048583 4784689 6256901 6993007 7518797 9832273 10989011 11619959 12425413 12987013 16248617 16983017 18160219 19202911 21462077 28065793 30176003 33726121 44103389 52122187 52631579 68825911 76923077 81339713 90909091 118881119 127819549 142857143 186813187 211232021 220779221 236082847 308723723 364855309 573344057 652663127 894736843 1000000001 1307692309 1545454547 2428571431 4013408399 4568641889 7179294397 8484620651 11095273159 12400599413 17000000017 50255060779 59392344557 77666912113 86804195891 93330827161 122048004749 136406593543 144238551067 161207792369 210810190021 653315790127 854336033243 954846154801 1009669857469 1128454546583 1475671330147 1586624061737 1773285716059 2318912090231 2740532470273 11106368432159 12413000012413 16232384631617 19183727291911 30145857173003 211021000211021