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11122201020 = 2235749953069
BaseRepresentation
bin10100101101110111…
…10101000110111100
31001201010101100112010
422112323311012330
5140234240413040
65035351211220
7542422102020
oct122673650674
931633340463
1011122201020
114798213277
1221a4976b10
131083342348
14777200380
1545167be80
hex296ef51bc

11122201020 has 96 divisors (see below), whose sum is σ = 35663040000. Its totient is φ = 2537074944.

The previous prime is 11122201007. The next prime is 11122201021. The reversal of 11122201020 is 2010222111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11122200987 and 11122201005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11122201021) 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, 183046 + ... + 236114.

It is an arithmetic number, because the mean of its divisors is an integer number (371490000).

Almost surely, 211122201020 is an apocalyptic number.

11122201020 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 11122201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17831520000).

11122201020 is an abundant number, since it is smaller than the sum of its proper divisors (24540838980).

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

11122201020 is a wasteful number, since it uses less digits than its factorization.

11122201020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53587 (or 53585 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11122201020 its reverse (2010222111), we get a palindrome (13132423131).

The spelling of 11122201020 in words is "eleven billion, one hundred twenty-two million, two hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 499 998 1497 1996 2495 2994 3493 4990 5988 6986 7485 9980 10479 13972 14970 17465 20958 29940 34930 41916 52395 53069 69860 104790 106138 159207 209580 212276 265345 318414 371483 530690 636828 742966 796035 1061380 1114449 1485932 1592070 1857415 2228898 3184140 3714830 4457796 5572245 7429660 11144490 22288980 26481431 52962862 79444293 105925724 132407155 158888586 185370017 264814310 317777172 370740034 397221465 529628620 556110051 741480068 794442930 926850085 1112220102 1588885860 1853700170 2224440204 2780550255 3707400340 5561100510 11122201020