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11020142320 = 24511101123989
BaseRepresentation
bin10100100001101101…
…00000011011110000
31001110000100020022021
422100312200123300
5140032124023240
65021303521224
7540042443545
oct122066403360
931400306267
1011020142320
114745646040
122176759214
13106815a795
14767834bcc
1544771c54a
hex290da06f0

11020142320 has 80 divisors (see below), whose sum is σ = 28228059360. Its totient is φ = 3967616000.

The previous prime is 11020142257. The next prime is 11020142321. The reversal of 11020142320 is 2324102011.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 11020142294 and 11020142303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11020142321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26886 + ... + 150874.

It is an arithmetic number, because the mean of its divisors is an integer number (352850742).

Almost surely, 211020142320 is an apocalyptic number.

11020142320 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 11020142320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14114029680).

11020142320 is an abundant number, since it is smaller than the sum of its proper divisors (17207917040).

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

11020142320 is a wasteful number, since it uses less digits than its factorization.

11020142320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124114 (or 124108 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 11020142320 its reverse (2324102011), we get a palindrome (13344244331).

The spelling of 11020142320 in words is "eleven billion, twenty million, one hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 101 110 176 202 220 404 440 505 808 880 1010 1111 1616 2020 2222 4040 4444 5555 8080 8888 11110 17776 22220 44440 88880 123989 247978 495956 619945 991912 1239890 1363879 1983824 2479780 2727758 4959560 5455516 6819395 9919120 10911032 12522889 13638790 21822064 25045778 27277580 50091556 54555160 62614445 100183112 109110320 125228890 137751779 200366224 250457780 275503558 500915560 551007116 688758895 1001831120 1102014232 1377517790 2204028464 2755035580 5510071160 11020142320