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211020002202108 = 2231121049166983009
BaseRepresentation
bin101111111110101111101100…
…010001011001000111111100
31000200011022111202221212212010
4233332233230101121013330
5210124322431030431413
62024445130053411220
762306456241436161
oct5776575421310774
91020138452855763
10211020002202108
1161268097a65800
121b80110b939b10
13909914067bc88
143a175cb896068
15195e1ab79bdc3
hexbfebec4591fc

211020002202108 has 144 divisors (see below), whose sum is σ = 542058122340000. Its totient is φ = 63845450465280.

The previous prime is 211020002202047. The next prime is 211020002202109. The reversal of 211020002202108 is 801202200020112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211020002202109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2542092508 + ... + 2542175516.

It is an arithmetic number, because the mean of its divisors is an integer number (3764292516250).

Almost surely, 2211020002202108 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 211020002202108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271029061170000).

211020002202108 is an abundant number, since it is smaller than the sum of its proper divisors (331038120137892).

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

211020002202108 is a wasteful number, since it uses less digits than its factorization.

211020002202108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85756 (or 85743 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The spelling of 211020002202108 in words is "two hundred eleven trillion, twenty billion, two million, two hundred two thousand, one hundred eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 484 726 1049 1452 1669 2098 3147 3338 4196 5007 6294 6676 10014 11539 12588 18359 20028 23078 34617 36718 46156 55077 69234 73436 83009 110154 126929 138468 166018 201949 220308 249027 253858 332036 380787 403898 498054 507716 605847 761574 807796 913099 996108 1211694 1523148 1750781 1826198 2423388 2739297 3501562 3652396 5252343 5478594 7003124 10044089 10504686 10957188 19258591 20088178 21009372 30132267 38517182 40176356 57775773 60264534 77034364 87076441 115551546 120529068 138542021 174152882 211844501 231103092 261229323 277084042 348305764 415626063 423689002 522458646 554168084 635533503 831252126 847378004 957840851 1044917292 1271067006 1523962231 1662504252 1915681702 2542134012 2873522553 3047924462 3831363404 4571886693 5747045106 6095848924 9143773386 10536249361 11494090212 16763584541 18287546772 21072498722 31608748083 33527169082 42144997444 50290753623 63217496166 67054338164 100581507246 126434992332 145330580029 201163014492 290661160058 435991740087 581322320116 871983480174 1598636380319 1743966960348 3197272760638 4795909140957 6394545521276 9591818281914 17585000183509 19183636563828 35170000367018 52755000550527 70340000734036 105510001101054 211020002202108