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11020131320 = 2351126395231
BaseRepresentation
bin10100100001101100…
…11101101111111000
31001110000022200012212
422100312131233320
5140032123200240
65021303354252
7540042366512
oct122066355770
931400280185
1011020131320
114745638850
122176752988
131068155783
14767830bb2
15447719165
hex290d9dbf8

11020131320 has 64 divisors (see below), whose sum is σ = 27152547840. Its totient is φ = 3992041600.

The previous prime is 11020131293. The next prime is 11020131329. The reversal of 11020131320 is 2313102011.

It is a junction number, because it is equal to n+sod(n) for n = 11020131295 and 11020131304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11020131329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68105 + ... + 163335.

It is an arithmetic number, because the mean of its divisors is an integer number (424258560).

Almost surely, 211020131320 is an apocalyptic number.

11020131320 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 11020131320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13576273920).

11020131320 is an abundant number, since it is smaller than the sum of its proper divisors (16132416520).

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

11020131320 is a wasteful number, since it uses less digits than its factorization.

11020131320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95516 (or 95512 counting only the distinct ones).

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

Adding to 11020131320 its reverse (2313102011), we get a palindrome (13333233331).

The spelling of 11020131320 in words is "eleven billion, twenty million, one hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 263 440 526 1052 1315 2104 2630 2893 5260 5786 10520 11572 14465 23144 28930 57860 95231 115720 190462 380924 476155 761848 952310 1047541 1904620 2095082 3809240 4190164 5237705 8380328 10475410 20950820 25045753 41901640 50091506 100183012 125228765 200366024 250457530 275503283 500915060 551006566 1001830120 1102013132 1377516415 2204026264 2755032830 5510065660 11020131320