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11001120012020 = 22523229187755639
BaseRepresentation
bin1010000000010110010111…
…0110011011011011110100
31102221200210222011011222002
42200011211312123123310
52420220243210341040
635221502245154432
72213543003135435
oct240054566333364
942850728134862
1011001120012020
1135616044a2586
1212981109bba18
1361a52a490768
142a065820348c
1514126eb94a15
hexa0165d9b6f4

11001120012020 has 96 divisors (see below), whose sum is σ = 24225406732800. Its totient is φ = 4188435761664.

The previous prime is 11001120012011. The next prime is 11001120012023. The reversal of 11001120012020 is 2021002110011.

11001120012020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11001120011992 and 11001120012010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11001120012023) 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, 197695361 + ... + 197750999.

It is an arithmetic number, because the mean of its divisors is an integer number (252347986800).

Almost surely, 211001120012020 is an apocalyptic number.

11001120012020 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 11001120012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12112703366400).

11001120012020 is an abundant number, since it is smaller than the sum of its proper divisors (13224286720780).

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

11001120012020 is a wasteful number, since it uses less digits than its factorization.

11001120012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57777 (or 57775 counting only the distinct ones).

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

Adding to 11001120012020 its reverse (2021002110011), we get a palindrome (13022122122031).

The spelling of 11001120012020 in words is "eleven trillion, one billion, one hundred twenty million, twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 229 230 458 460 916 1145 1877 2290 3754 4580 5267 7508 9385 10534 18770 21068 26335 37540 43171 52670 55639 86342 105340 111278 172684 215855 222556 278195 429833 431710 556390 859666 863420 1112780 1279697 1719332 2149165 2559394 4298330 5118788 6398485 8596660 9886159 12741331 12796970 19772318 25482662 25593940 39544636 49430795 50965324 63706655 98861590 104434403 127413310 197723180 208868806 254826620 293050613 417737612 522172015 586101226 1044344030 1172202452 1465253065 2088688060 2401991269 2930506130 4803982538 5861012260 9607965076 12009956345 23915478287 24019912690 47830956574 48039825380 95661913148 119577391435 239154782870 478309565740 550056000601 1100112001202 2200224002404 2750280003005 5500560006010 11001120012020