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11202200220020 = 22531449145927581
BaseRepresentation
bin1010001100000011011100…
…1010100011000101110100
31110122220211121001010021012
42203000313022203011310
52432014101224020040
635454115244011352
72234221651534055
oct243006712430564
943586747033235
1011202200220020
11362990aa8aa67
12130b08a230b58
13633494520a64
142aa29195072c
151465dcd90865
hexa30372a3174

11202200220020 has 96 divisors (see below), whose sum is σ = 24355126656000. Its totient is φ = 4323555532800.

The previous prime is 11202200219999. The next prime is 11202200220143. The reversal of 11202200220020 is 2002200220211.

It is a super-2 number, since 2×112022002200202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11202200219977 and 11202200220004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 406142630 + ... + 406170210.

It is an arithmetic number, because the mean of its divisors is an integer number (253699236000).

Almost surely, 211202200220020 is an apocalyptic number.

11202200220020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11202200220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12177563328000).

11202200220020 is an abundant number, since it is smaller than the sum of its proper divisors (13152926435980).

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

11202200220020 is a wasteful number, since it uses less digits than its factorization.

11202200220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29529 (or 29527 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 11202200220020 its reverse (2002200220211), we get a palindrome (13204400440231).

The spelling of 11202200220020 in words is "eleven trillion, two hundred two billion, two hundred million, two hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 449 620 898 1459 1796 2245 2918 4490 5836 7295 8980 13919 14590 27581 27838 29180 45229 55162 55676 69595 90458 110324 137905 139190 180916 226145 275810 278380 452290 551620 655091 855011 904580 1310182 1710022 2620364 3275455 3420044 4275055 6550910 8550110 12383869 13101820 17100220 20307821 24767738 40240679 40615642 49535476 61919345 80481358 81231284 101539105 123838690 160962716 201203395 203078210 247677380 383899939 402406790 406156420 767799878 804813580 1247461049 1535599756 1919499695 2494922098 3838999390 4989844196 6237305245 7677998780 12474610490 18068064871 24949220980 36136129742 72272259484 90340324355 180680648710 361361297420 560110011001 1120220022002 2240440044004 2800550055005 5601100110010 11202200220020