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11212010022220 = 22571011825343441
BaseRepresentation
bin1010001100100111111111…
…0111111110010101001100
31110200212011020220201001121
42203021333313332111030
52432144144031202340
635502420514050324
72235020026505350
oct243117767762514
943625136821047
1011212010022220
113632a943a7607
121310b675799a4
136343989a6747
142aa942723460
151469b41cd94a
hexa327fdfe54c

11212010022220 has 96 divisors (see below), whose sum is σ = 27177362464896. Its totient is φ = 3805761024000.

The previous prime is 11212010022193. The next prime is 11212010022229. The reversal of 11212010022220 is 2222001021211.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11212010022194 and 11212010022203.

It is not an unprimeable number, because it can be changed into a prime (11212010022229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 258075700 + ... + 258119140.

It is an arithmetic number, because the mean of its divisors is an integer number (283097525676).

Almost surely, 211212010022220 is an apocalyptic number.

11212010022220 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 11212010022220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13588681232448).

11212010022220 is an abundant number, since it is smaller than the sum of its proper divisors (15965352442676).

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

11212010022220 is a wasteful number, since it uses less digits than its factorization.

11212010022220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61811 (or 61809 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 11212010022220 its reverse (2222001021211), we get a palindrome (13434011043431).

The spelling of 11212010022220 in words is "eleven trillion, two hundred twelve billion, ten million, twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 101 140 202 404 505 707 1010 1414 2020 2828 3535 7070 14140 18253 36506 43441 73012 86882 91265 127771 173764 182530 217205 255542 304087 365060 434410 511084 608174 638855 868820 1216348 1277710 1520435 1843553 2555420 3040870 3687106 4387541 6081740 7374212 8775082 9217765 12904871 17550164 18435530 21937705 25809742 30712787 36871060 43875410 51619484 61425574 64524355 87750820 122851148 129048710 153563935 258097420 307127870 614255740 792928573 1585857146 3171714292 3964642865 5550500011 7929285730 11101000022 15858571460 22202000044 27752500055 55505000110 80085785873 111010000220 160171571746 320343143492 400428929365 560600501111 800857858730 1121201002222 1601715717460 2242402004444 2803002505555 5606005011110 11212010022220