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11022214120 = 2352339671223
BaseRepresentation
bin10100100001111100…
…11010001111101000
31001110011020111021121
422100332122033220
5140033141322440
65021420145024
7540066163021
oct122076321750
931404214247
1011022214120
114746830675
122177398174
1310687047b8
14767c13c48
154479cb34a
hex290f9a3e8

11022214120 has 64 divisors (see below), whose sum is σ = 24952561920. Its totient is φ = 4381837824.

The previous prime is 11022214117. The next prime is 11022214157. The reversal of 11022214120 is 2141222011.

11022214120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11022214094 and 11022214103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9011829 + ... + 9013051.

It is an arithmetic number, because the mean of its divisors is an integer number (389883780).

Almost surely, 211022214120 is an apocalyptic number.

11022214120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11022214120 is an abundant number, since it is smaller than the sum of its proper divisors (13930347800).

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

11022214120 is a wasteful number, since it uses less digits than its factorization.

11022214120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2434 (or 2430 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 11022214120 its reverse (2141222011), we get a palindrome (13163436131).

The spelling of 11022214120 in words is "eleven billion, twenty-two million, two hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 233 466 932 967 1165 1223 1864 1934 2330 2446 3868 4660 4835 4892 6115 7736 9320 9670 9784 12230 19340 24460 38680 48920 225311 284959 450622 569918 901244 1126555 1139836 1182641 1424795 1802488 2253110 2279672 2365282 2849590 4506220 4730564 5699180 5913205 9012440 9461128 11398360 11826410 23652820 47305640 275555353 551110706 1102221412 1377776765 2204442824 2755553530 5511107060 11022214120