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11038311220 = 2252213249397
BaseRepresentation
bin10100100011110111…
…10100001100110100
31001111021112022100111
422101323310030310
5140101301424340
65023153152404
7540353045236
oct122173641464
931437468314
1011038311220
114754925662
12218085b704
13106bb4c601
1476a004256
1544910aaea
hex291ef4334

11038311220 has 24 divisors (see below), whose sum is σ = 23191021224. Its totient is φ = 4413311616.

The previous prime is 11038311199. The next prime is 11038311227. The reversal of 11038311220 is 2211383011.

It is a happy number.

11038311220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4862551824 + 6175759396 = 69732^2 + 78586^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11038311191 and 11038311200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11038311227) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 80439 + ... + 168958.

It is an arithmetic number, because the mean of its divisors is an integer number (966292551).

Almost surely, 211038311220 is an apocalyptic number.

11038311220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11038311220 is an abundant number, since it is smaller than the sum of its proper divisors (12152710004).

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

11038311220 is a wasteful number, since it uses less digits than its factorization.

11038311220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251619 (or 251617 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 11038311220 its reverse (2211383011), we get a palindrome (13249694231).

The spelling of 11038311220 in words is "eleven billion, thirty-eight million, three hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 2213 4426 8852 11065 22130 44260 249397 498794 997588 1246985 2493970 4987940 551915561 1103831122 2207662244 2759577805 5519155610 11038311220