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11011233020 = 22519113347739
BaseRepresentation
bin10100100000101001…
…00001010011111100
31001102101120121001012
422100110201103330
5140022333424040
65020344534352
7536603636114
oct122024412374
931371517035
1011011233020
114740610387
1221737813b8
13106635b4c8
14766596044
15446a5c865
hex2905214fc

11011233020 has 96 divisors (see below), whose sum is σ = 24660115200. Its totient is φ = 4118252544.

The previous prime is 11011233017. The next prime is 11011233029. The reversal of 11011233020 is 2033211011.

It is a junction number, because it is equal to n+sod(n) for n = 11011232986 and 11011233004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11011233029) 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, 14899811 + ... + 14900549.

It is an arithmetic number, because the mean of its divisors is an integer number (256876200).

Almost surely, 211011233020 is an apocalyptic number.

11011233020 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 11011233020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12330057600).

11011233020 is an abundant number, since it is smaller than the sum of its proper divisors (13648882180).

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

11011233020 is a wasteful number, since it uses less digits than its factorization.

11011233020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1227 (or 1225 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 11011233020 its reverse (2033211011), we get a palindrome (13044444031).

The spelling of 11011233020 in words is "eleven billion, eleven million, two hundred thirty-three thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 113 190 226 347 380 452 565 694 739 1130 1388 1478 1735 2147 2260 2956 3470 3695 4294 6593 6940 7390 8588 10735 13186 14041 14780 21470 26372 28082 32965 39211 42940 56164 65930 70205 78422 83507 131860 140410 156844 167014 196055 256433 280820 334028 392110 417535 512866 745009 784220 835070 1025732 1282165 1490018 1586633 1670140 2564330 2980036 3173266 3725045 4872227 5128660 6346532 7450090 7933165 9744454 14900180 15866330 19488908 24361135 28976929 31732660 48722270 57953858 97444540 115907716 144884645 289769290 550561651 579538580 1101123302 2202246604 2752808255 5505616510 11011233020