Search a number
-
+
11020220011100 = 22523114832397107
BaseRepresentation
bin1010000001011101100001…
…0011001001001001011100
31110000112010002011200001102
42200113120103021021130
52421023402310323400
635234341424332232
72215120216351106
oct240273023111134
943015102150042
1011020220011100
113569715999593
12129b961474078
1361c282571471
142a154ab6c576
151419db8d39d5
hexa05d84c925c

11020220011100 has 72 divisors (see below), whose sum is σ = 24701948640768. Its totient is φ = 4263013310400.

The previous prime is 11020220011049. The next prime is 11020220011111. The reversal of 11020220011100 is 111002202011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3398747 + ... + 5795853.

Almost surely, 211020220011100 is an apocalyptic number.

11020220011100 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 11020220011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12350974320384).

11020220011100 is an abundant number, since it is smaller than the sum of its proper divisors (13681728629668).

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

11020220011100 is a wasteful number, since it uses less digits than its factorization.

11020220011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2398635 (or 2398628 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 11020220011100 its reverse (111002202011), we get a palindrome (11131222213111).

The spelling of 11020220011100 in words is "eleven trillion, twenty billion, two hundred twenty million, eleven thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 310 620 775 1483 1550 2966 3100 5932 7415 14830 29660 37075 45973 74150 91946 148300 183892 229865 459730 919460 1149325 2298650 2397107 4597300 4794214 9588428 11985535 23971070 47942140 59927675 74310317 119855350 148620634 239710700 297241268 371551585 743103170 1486206340 1857757925 3554909681 3715515850 7109819362 7431031700 14219638724 17774548405 35549096810 71098193620 88872742025 110202200111 177745484050 220404400222 355490968100 440808800444 551011000555 1102022001110 2204044002220 2755055002775 5510110005550 11020220011100