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11022130320 = 243550990227
BaseRepresentation
bin10100100001111100…
…00101110010010000
31001110011002020022220
422100332011302100
5140033131132240
65021414301040
7540065363505
oct122076056220
931404066286
1011022130320
114746783713
122177357780
1310686a5606
14767bd14ac
154479b15d0
hex290f85c90

11022130320 has 80 divisors (see below), whose sum is σ = 34236112320. Its totient is φ = 2933427712.

The previous prime is 11022130291. The next prime is 11022130373. The reversal of 11022130320 is 2303122011.

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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11022130320.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77047 + ... + 167273.

It is an arithmetic number, because the mean of its divisors is an integer number (427951404).

Almost surely, 211022130320 is an apocalyptic number.

11022130320 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 11022130320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17118056160).

11022130320 is an abundant number, since it is smaller than the sum of its proper divisors (23213982000).

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

11022130320 is a wasteful number, since it uses less digits than its factorization.

11022130320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90752 (or 90746 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 11022130320 its reverse (2303122011), we get a palindrome (13325252331).

The spelling of 11022130320 in words is "eleven billion, twenty-two million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 509 1018 1527 2036 2545 3054 4072 5090 6108 7635 8144 10180 12216 15270 20360 24432 30540 40720 61080 90227 122160 180454 270681 360908 451135 541362 721816 902270 1082724 1353405 1443632 1804540 2165448 2706810 3609080 4330896 5413620 7218160 10827240 21654480 45925543 91851086 137776629 183702172 229627715 275553258 367404344 459255430 551106516 688883145 734808688 918510860 1102213032 1377766290 1837021720 2204426064 2755532580 3674043440 5511065160 11022130320