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2102021022222 = 23211353162118553
BaseRepresentation
bin11110100101101010001…
…101110110001000001110
321102221200110101202111200
4132211222031312020032
5233414414340202342
64245353301330330
7304603016612442
oct36455215661016
97387613352450
102102021022222
1174050a081890
1229b4767069a6
131232b199b944
1473a4a0bc822
1539a2987d94c
hex1e96a37620e

2102021022222 has 96 divisors (see below), whose sum is σ = 4985830583136. Its totient is φ = 634745548800.

The previous prime is 2102021022221. The next prime is 2102021022253. The reversal of 2102021022222 is 2222201202012.

2102021022222 is a `hidden beast` number, since 210 + 2 + 0 + 210 + 22 + 222 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2102021022195 and 2102021022204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102021022221) 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, 113288898 + ... + 113307450.

It is an arithmetic number, because the mean of its divisors is an integer number (51935735241).

Almost surely, 22102021022222 is an apocalyptic number.

2102021022222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2102021022222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2492915291568).

2102021022222 is an abundant number, since it is smaller than the sum of its proper divisors (2883809560914).

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

2102021022222 is a wasteful number, since it uses less digits than its factorization.

2102021022222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20546 (or 20543 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 2102021022222 its reverse (2222201202012), we get a palindrome (4324222224234).

The spelling of 2102021022222 in words is "two trillion, one hundred two billion, twenty-one million, twenty-two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 353 706 1059 1621 2118 3177 3242 3883 4863 6354 7766 9726 11649 14589 17831 18553 23298 29178 34947 35662 37106 53493 55659 69894 106986 111318 160479 166977 204083 320958 333954 408166 572213 612249 1144426 1224498 1716639 1836747 3433278 3673494 5149917 6294343 6549209 10299834 12588686 13098418 18883029 19647627 30074413 37766058 39295254 56649087 58942881 60148826 72041299 90223239 113298174 117885762 144082598 180446478 216123897 270669717 330818543 432247794 541339434 648371691 661637086 992455629 1296743382 1984911258 2977366887 5954733774 10616267789 21232535578 31848803367 63697606734 95546410101 116778945679 191092820202 233557891358 350336837037 700673674074 1051010511111 2102021022222