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11133030020 = 22571013472269
BaseRepresentation
bin10100101111001010…
…01000111010000100
31001201212202112010012
422113211020322010
5140300023430040
65040415245352
7542613123320
oct122745107204
931655675105
1011133030020
1147a333a262
1221a8519858
131085664338
1477881c980
154525ba865
hex297948e84

11133030020 has 96 divisors (see below), whose sum is σ = 27073509120. Its totient is φ = 3766694400.

The previous prime is 11133030017. The next prime is 11133030037. The reversal of 11133030020 is 2003033111.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 11133029977 and 11133030004.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4905446 + ... + 4907714.

It is an arithmetic number, because the mean of its divisors is an integer number (282015720).

Almost surely, 211133030020 is an apocalyptic number.

11133030020 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 11133030020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13536754560).

11133030020 is an abundant number, since it is smaller than the sum of its proper divisors (15940479100).

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

11133030020 is a wasteful number, since it uses less digits than its factorization.

11133030020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2733 (or 2731 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 11133030020 its reverse (2003033111), we get a palindrome (13136063131).

The spelling of 11133030020 in words is "eleven billion, one hundred thirty-three million, thirty thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 101 140 202 347 404 505 694 707 1010 1388 1414 1735 2020 2269 2429 2828 3470 3535 4538 4858 6940 7070 9076 9716 11345 12145 14140 15883 22690 24290 31766 35047 45380 48580 63532 70094 79415 140188 158830 175235 229169 245329 317660 350470 458338 490658 700940 787343 916676 981316 1145845 1226645 1574686 1604183 2291690 2453290 3149372 3208366 3936715 4583380 4906580 5511401 6416732 7873430 8020915 11022802 15746860 16041830 22045604 27557005 32083660 55114010 79521643 110228020 159043286 318086572 397608215 556651501 795216430 1113303002 1590432860 2226606004 2783257505 5566515010 11133030020