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11212110012020 = 22517891471251887
BaseRepresentation
bin1010001100101000010111…
…0101011001111001110100
31110200212102020001201021112
42203022011311121321310
52432144400130341040
635502434445134152
72235022352425661
oct243120565317164
943625366051245
1011212110012020
113633035891405
121310b94b5a358
136343b36156c8
142aa951b10a68
151469bcd80365
hexa3285d59e74

11212110012020 has 96 divisors (see below), whose sum is σ = 25227812413440. Its totient is φ = 4170748538880.

The previous prime is 11212110012011. The next prime is 11212110012029. The reversal of 11212110012020 is 2021001121211.

11212110012020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11212110012011) and next prime (11212110012029).

It is a super-2 number, since 2×112121100120202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11212110011986 and 11212110012004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11212110012029) 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, 44386517 + ... + 44638403.

It is an arithmetic number, because the mean of its divisors is an integer number (262789712640).

Almost surely, 211212110012020 is an apocalyptic number.

11212110012020 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 11212110012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12613906206720).

11212110012020 is an abundant number, since it is smaller than the sum of its proper divisors (14015702401420).

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

11212110012020 is a wasteful number, since it uses less digits than its factorization.

11212110012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253473 (or 253471 counting only the distinct ones).

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

Adding to 11212110012020 its reverse (2021001121211), we get a palindrome (13233111133231).

The spelling of 11212110012020 in words is "eleven trillion, two hundred twelve billion, one hundred ten million, twelve thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 89 170 178 340 356 445 890 1471 1513 1780 2942 3026 5884 6052 7355 7565 14710 15130 25007 29420 30260 50014 100028 125035 130919 250070 251887 261838 500140 503774 523676 654595 1007548 1259435 1309190 2225623 2518870 2618380 4282079 4451246 5037740 8564158 8902492 11128115 17128316 21410395 22256230 22417943 42820790 44512460 44835886 85641580 89671772 112089715 224179430 370525777 381105031 448358860 741051554 762210062 1482103108 1524420124 1852628885 1905525155 3705257770 3811050310 6298938209 7410515540 7622100620 12597876418 25195752836 31494691045 32976794153 62989382090 65953588306 125978764180 131907176612 164883970765 329767941530 560605500601 659535883060 1121211001202 2242422002404 2803027503005 5606055006010 11212110012020